Relevant bibliographies by topics / Angles of Euler

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Academic literature on the topic 'Angles of Euler'

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Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Angles of Euler"

1

Wren, Tishya A. L., and Paul C. Mitiguy. "A Simple Method to Obtain Consistent and Clinically Meaningful Pelvic Angles from Euler Angles during Gait Analysis." Journal of Applied Biomechanics 23, no. 3 (2007): 218–23. http://dx.doi.org/10.1123/jab.23.3.218.

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Clinical gait analysis usually describes joint kinematics using Euler angles, which depend on the sequence of rotation. Studies have shown that pelvic obliquity angles from the traditional tilt-obliquity-rotation (TOR) Euler angle sequence can deviate considerably from clinical expectations and have suggested that a rotation-obliquity-tilt (ROT) Euler angle sequence be used instead. We propose a simple alternate approach in which clinical joint angles are defined and exactly calculated in terms of Euler angles from any rotation sequence. Equations were derived to calculate clinical pelvic elevation, progression, and lean angles from TOR and ROT Euler angles. For the ROT Euler angles, obliquity was exactly the same as the clinical elevation angle, rotation was similar to the clinical progression angle, and tilt was similar to the clinical lean angle. Greater differences were observed for TOR. These results support previous findings that ROT is preferable to TOR for calculating pelvic Euler angles for clinical interpretation. However, we suggest that exact clinical angles can and should be obtained through a few extra calculations as demonstrated in this technical note.
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Jouybari, A., A. A. Ardalan, and M. H. Rezvani. "EXPERIMENTAL COMPARISON BETWEEN MAHONEY AND COMPLEMENTARY SENSOR FUSION ALGORITHM FOR ATTITUDE DETERMINATION BY RAW SENSOR DATA OF XSENS IMU ON BUOY." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-4/W4 (September 27, 2017): 497–502. http://dx.doi.org/10.5194/isprs-archives-xlii-4-w4-497-2017.

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The accurate measurement of platform orientation plays a critical role in a range of applications including marine, aerospace, robotics, navigation, human motion analysis, and machine interaction. We used Mahoney filter, Complementary filter and Xsens Kalman filter for achieving Euler angle of a dynamic platform by integration of gyroscope, accelerometer, and magnetometer measurements. The field test has been performed in Kish Island using an IMU sensor (Xsens MTi-G-700) that installed onboard a buoy so as to provide raw data of gyroscopes, accelerometers, magnetometer measurements about 25 minutes. These raw data were used to calculate the Euler angles by Mahoney filter and Complementary filter, while the Euler angles collected by XSense IMU sensor become the reference of the Euler angle estimations. We then compared Euler angles which calculated by Mahoney Filter and Complementary Filter with reference to the Euler angles recorded by the XSense IMU sensor. The standard deviations of the differences between the Mahoney Filter, Complementary Filter Euler angles and XSense IMU sensor Euler angles were about 0.5644, 0.3872, 0.4990 degrees and 0.6349, 0.2621, 2.3778 degrees for roll, pitch, and heading, respectively, so the numerical result assert that Mahoney filter is precise for roll and heading angles determination and Complementary filter is precise only for pitch determination, it should be noted that heading angle determination by Complementary filter has more error than Mahoney filter.
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Liu, Wu, Qiu Li, Gang Jin, and Wei Qiu. "Measurement of the Euler Angles of Wurtzitic ZnO by Raman Spectroscopy." Journal of Spectroscopy 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/6430540.

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A Raman spectroscopy-based step-by-step measuring method of Euler angles φ,θ,and ψ was presented for the wurtzitic crystal orientation on a microscopic scale. Based on the polarization selection rule and coordinate transformation theory, a series of analytic expressions for the Euler angle measurement using Raman spectroscopy were derived. Specific experimental measurement processes were presented, and the measurement of Raman tensor elements and Euler angles of the ZnO crystal were implemented. It is deduced that there is a trigonometric functional relationship between the intensity of each Raman bands of wurtzite crystal and Euler angle ψ, the polarization direction of incident light under different polarization configurations, which can be used to measure the Euler angles. The experimental results show that the proposed method can realize the measurement of Euler angles for wurtzite crystal effectively.
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Cacciatori, Sergio L., Bianca L. Cerchiai, Alberto Della Vedova, Giovanni Ortenzi, and Antonio Scotti. "Euler angles for G2." Journal of Mathematical Physics 46, no. 8 (2005): 083512. http://dx.doi.org/10.1063/1.1993549.

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Shuster, Malcolm D., and F. Landis Markley. "Generalization of the Euler Angles." Journal of the Astronautical Sciences 51, no. 2 (2003): 123–32. http://dx.doi.org/10.1007/bf03546304.

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Rathod, Cheta, and Ahmed A. Shabana. "Rail Geometry and Euler Angles." Journal of Computational and Nonlinear Dynamics 1, no. 3 (2006): 264–68. http://dx.doi.org/10.1115/1.2198878.

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In railroad vehicle dynamics, Euler angles are often used to describe the track geometry (track centerline and rail space curves). The tangent and curvature vectors as well as local geometric properties such as the curvature and torsion can be expressed in terms of Euler angles. Some of the local geometric properties and Euler angles can be related to measured parameters that are often used to define the track geometry. The Euler angles employed, however, define a coordinate system that may differ from the Frenet frame used in the classical differential geometry. The relationship between the track frame used in railroad vehicle dynamics and the Frenet frame used in the theory of curves is developed in this paper and is used to shed light on some of the formulas and identities used in the geometric description in railroad vehicle dynamics. The conditions under which the two frames (track and Frenet) become equivalent are presented and used to obtain expressions for the curvature and torsion in terms of Euler angles and their derivatives with respect to the arc length.
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Nolze, Gert. "Euler angles and crystal symmetry." Crystal Research and Technology 50, no. 2 (2015): 188–201. http://dx.doi.org/10.1002/crat.201400427.

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Wu, Bin, Peng Chen, Yong Jiang Hu, and Chang Long Wang. "Research on Attitude Singularity Problem of Small Tail-Sitter Aircraft." Applied Mechanics and Materials 599-601 (August 2014): 401–4. http://dx.doi.org/10.4028/www.scientific.net/amm.599-601.401.

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Singularity problem in attitude estimation of small tail-sitter aircraft with traditional algorithm is researched. According to the flight characteristics of small tail-sitter aircraft, a new algorithm is proposed. Vertical Euler angles whose singularity points are away from standard Euler angles are introduced. Only one set of angles are used in horizontal or near-vertical state to avoid singularity. Simulation results show that attitude angles can vary continuously and have high accuracy under the condition of a large tilting angle.
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Milligan, T. "More applications of Euler rotation angles." IEEE Antennas and Propagation Magazine 41, no. 4 (1999): 78–83. http://dx.doi.org/10.1109/74.789738.

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Ying, Ning, and Wangdo Kim. "Determining Dual Euler Angles of the Ankle Complex in vivo Using “Flock of Birds” Electromagnetic Tracking Device." Journal of Biomechanical Engineering 127, no. 1 (2005): 98–107. http://dx.doi.org/10.1115/1.1846072.

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The dual Euler angles method has been proposed as an alternative approach to describe the general spatial human joint motion. In this study, the dual Euler angles method was applied to study the three-dimensional motion of the ankle complex. The methodology for obtaining dual Euler angles of the ankle complex was developed by using a “Flock of Birds” electromagnetic tracking device. The repeatability of the methodology was studied based on the intertester and intratester variability analysis. Finally kinematic coupling characteristics of the ankle complex during dorsiflexion–plantarflexion, eversion–inversion, and abduction–adduction were analyzed according to the parameters of the dual Euler angles.
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Dissertations / Theses on the topic "Angles of Euler"

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Choi, Sang Keun. "A Cartesian finite-volume method for the Euler equations." Diss., Virginia Polytechnic Institute and State University, 1987. http://hdl.handle.net/10919/76511.

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A numerical procedure has been developed for the computation of inviscid flows over arbitrary, complex two-dimensional geometries. The Euler equations are solved using a finite-volume method with a non-body-fitted Cartesian grid. A new numerical formulation for complicated body geometries is developed in conjunction with implicit flux-splitting schemes. A variety of numerical computations have been performed to validate the numerical methodologies developed. Computations for supersonic flow over a flat plate with an impinging shock wave are used to verify the numerical algorithm, without geometric considerations. The supersonic flow over a blunt body is utilized to show the accuracy of the non-body-fitted Cartesian grid, along with the shock resolution of flux-vector splitting scheme. Geometric complexities are illustrated with the flow through a two-dimensional supersonic inlet with and without an open bleed door. The ability of the method to deal with subsonic and transonic flows is illustrated by computations over a non-lifting NACA 0012 airfoil. The method is shown to be accurate, efficient and robust and should prove to be particularly useful in a preliminary design mode, where flows past a wide variety of complex geometries can be computed without complicated grid generation procedures.<br>Ph. D.
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Tay, Boon Chong. "Development and implementation of new control law for vision based target tracking system onboard small Unmanned Aerial Vehicles." Thesis, Monterey, Calif. : Naval Postgraduate School, 2006. http://bosun.nps.edu/uhtbin/hyperion.exe/06Dec%5FTay.pdf.

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Thesis (M.S. in Engineering Science (Mechanical Engineering))--Naval Postgraduate School, December 2006.<br>Thesis Advisor(s): Isaac I. Kaminer, Vladimir N. Dobrokhodov. "December 2006." Includes bibliographical references (p. 89). Also available in print.
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Byrd, Mark Steven. "Representations of SU(3) and geometric phases for three-state systems /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

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Lima, Júnior Renato de Souza [UNESP]. "Identificação dos ângulos do tornozelo do membro de suporte, distância entre o pé de apoio e a bola e velocidade de saída da bola em cobranças de pênalti no futebol." Universidade Estadual Paulista (UNESP), 2007. http://hdl.handle.net/11449/87493.

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Made available in DSpace on 2014-06-11T19:22:54Z (GMT). No. of bitstreams: 0 Previous issue date: 2007-11-09Bitstream added on 2014-06-13T18:49:52Z : No. of bitstreams: 1 limajunior_rs_me_rcla.pdf: 1681647 bytes, checksum: e5724b752b17214a18d35dc5a4d3e0ed (MD5)<br>Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)<br>As situações de cobranças de pênalti no futebol vêm se tornando um fator decisivo no resultado de muitos jogos e competições. Considerando que o número de cobranças de pênalti desperdiçadas em jogos oficiais seja de 25 a 33% das cobranças de pênalti realizadas e o aumento do número de cobranças de pênalti em jogos oficiais, torna-se evidente a necessidade de novas investigações que possam melhorar o aproveitamento do cobrador, com chutes mais precisos e eficientes sendo convertidos em gol. Portanto, o objetivo deste trabalho foi identificar, em cobranças de pênalti, os ângulos da articulação do tornozelo do membro de suporte, durante o posicionamento do pé de apoio, a distância entre o pé de apoio e a bola, a velocidade de saída da bola com chutes convertidos em gol ou desperdiçados. Para o cálculo dos ângulos utilizaramse os ângulos de Euler. Foi utilizado um sistema de bases locais para perna e pé do membro de suporte, construídas a partir da fixação de marcadores passivos em seis proeminências ósseas de interesse. O estudo contou com dez jogadores e um goleiro, todos integrantes da equipe de futebol de campo da categoria adulta da Universidade Estadual Paulista – Campus Rio Claro. Cada um dos jogadores realizou uma série de dez cobranças de pênalti. Entretanto, para análise das variáveis de interesse foram utilizadas apenas sete cobranças de cada participante em função da oclusão de marcadores. O evento analisado consistiu no posicionamento do pé de apoio do membro de suporte, dado pelo toque do calcanhar até o último contato do mesmo com o solo, durante as cobranças pênalti. As imagens foram registradas por quatro câmeras digitais para visualização dos marcadores passivos na perna e no pé dos participantes. Uma quinta câmera foi posicionada fora da grande área do goleiro com a finalidade de visualizar o gol para identificação de cobranças convertidas em gol ou desperdiçadas...<br>The soccer penalty kick has become a decisive factor in the result of many games and competitions. Considering that the number of penalty kicks wasted in official games is from 25 to 33% of the accomplished penalty kicks and the increase of the number of penalty kicks in official games, becomes evident the need of new investigations that can improve the kickers performance, with more necessary and efficient kicks being converted in goal. Therefore, the aim of this work was to identify, in penalty kicks, the joint angles of the ankle of the support member, during the positioning of the support foot, the distance between the support foot and the ball, the speed of exit of the ball with kicks converted in goal or wasted. The angles were calculated by the Euler angles. It was used a local bases system for the leg and foot of the support member, built starting from the fixation of passive markers in six bone prominences of interest. The study was composed by ten soccer players and one goalkeeper, all members of the adult soccer team of São Paulo State University – Rio Claro Campus. Each one of the players accomplished a series of ten penalty kicks. However, for analysis of the variables of interest only seven kicks of each participant were used in function of the occlusion of markers. The analyzed event consisted of the positioning of the support foot of the support member, given by the touch of the heel to the last contact to the ground, during the penalties kicks. The images were filmed by four digital cameras focusing the passive markers placed on the leg and foot of the participants. A fifty camera was placed out of goalkeeper’s great area with the purpose of focus from goal area, the identification of the kicks converted in goal or wasted. Further on, the cameras images were transferred to a computer and the cartesian coordinates of the passive markers were obtained through DVIDEOW software. It was identified an amplitude of 21.5° for ...
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Barbieri, Fabio Augusto [UNESP]. "O chute com o membro dominante e não dominante realizado com a bola parada e em deslocamento no futsal." Universidade Estadual Paulista (UNESP), 2007. http://hdl.handle.net/11449/87427.

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Made available in DSpace on 2014-06-11T19:22:52Z (GMT). No. of bitstreams: 0 Previous issue date: 2007-05-09Bitstream added on 2014-06-13T19:49:11Z : No. of bitstreams: 1 barbieri_fa_me_rcla.pdf: 2262727 bytes, checksum: 09a4c61c625a0d2da558ac1e8cb96947 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>O futsal tem sido estudado sob o enfoque de diversos temas e olhares. Neste trabalho o futsal foi analisado através da perspectiva da Biomecânica. O objetivo do estudo foi descrever o chute executado com o membro dominante e com o membro não dominante realizado com a bola parada e em deslocamento no futsal. Participaram dez jogadores da equipe de futsal adulta da UNESP Campus Rio Claro, os quais realizaram dez chutes com a bola em deslocamento e dez chutes com a bola parada, sendo cinco chutes com cada membro para cada situação. Os chutes foram realizados com o dorso do pé, procurando empregar velocidade máxima a bola e objetivando acertá-la em um alvo de 1m2 colocado no centro do gol. Os movimentos foram filmados por sete câmeras posicionadas de modo que enfocassem os marcadores passivos colocados em ambos os membros inferiores dos participantes. As imagens destes chutes foram transferidas para o computador e trabalhadas no software DVIDEOW, sendo realizado os processos de desentrelaçamento, sincronização, medição e reconstrução 3D. Após isso, ocorreu a suavização das através função LOESS e através do método de Euler foram calculados os ângulos de rotação das articulações. Para isso, foi definida uma base ortonormal associada a cada segmento corporal através dos versores i, j e k. A velocidade angular foi calculada através da derivada dos ângulos em função do tempo para cada articulação. Para o desempenho foram avaliados os acertos e erros do alvo. Para a velocidade da bola e velocidade do pé do membro de chute foi realizada, em função do tempo, uma regressão linear de primeiro grau para os eixos X e Y e uma regressão linear do segundo grau para o eixo Z, sendo a xiii velocidade média da bola e do pé calculada a partir da distância percorrida dividida pelo tempo de percurso...<br>The futsal has been studied under the focus of several themes. This work analyzed the futsal in the Biomechanics perspective. The aim of this study was to describe the kick with the dominant and non-dominant limb performed with the stationary and in displacement ball in futsal. Ten players participated of the UNESP - Campus Rio Claro futsal adult team. They performed ten kicks with the ball in displacement and ten kicks with the stationary ball (five kicks with each limb for each situation). The kicks performed were the maximal instep kicks and should hit a 1 x 1 m target positioned in the goal centre. The movements were recorded by six cameras with focus in the passive markers placed in the participants inferior limbs. The kicking images were transferred to the computer and worked in the DVIDEOW software. The extracted files of this software were smoothed through the LOESS function and joints rotation angles were calculated by the Euler method. For that, it was defined the ortonormal base associated to each corporal segment through i, j and k versores. The angular speed was calculated through angles derived for the time and for each joint. The kicks performance was analyzed through the observation of the success or failure of hitting in the target. For the ball and kick limb foot speed were carried through, in function of the time, a linear regression of first degree for X and Y axles and a linear regression of second degree for Z axle. Then, the average ball and foot speed was calculated from the covered distance divided for the time for the data parameterized in each kick. The results for the angular kinematic standard and angular speed showed significant differences among dominant and not dominant kick and support limb. For the kick type small differences was 126 detected mainly at the moment of contact with the ball...(Complete abstract click eletronic access below)
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6

Lima, Júnior Renato de Souza. "Identificação dos ângulos do tornozelo do membro de suporte, distância entre o pé de apoio e a bola e velocidade de saída da bola em cobranças de pênalti no futebol /." Rio Claro : [s.n.], 2007. http://hdl.handle.net/11449/87493.

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Orientador: Sergio Augusto Cunha<br>Banca: Anízio Perissinotto Junior<br>Banca: José Marques Novo Junior<br>Resumo: As situações de cobranças de pênalti no futebol vêm se tornando um fator decisivo no resultado de muitos jogos e competições. Considerando que o número de cobranças de pênalti desperdiçadas em jogos oficiais seja de 25 a 33% das cobranças de pênalti realizadas e o aumento do número de cobranças de pênalti em jogos oficiais, torna-se evidente a necessidade de novas investigações que possam melhorar o aproveitamento do cobrador, com chutes mais precisos e eficientes sendo convertidos em gol. Portanto, o objetivo deste trabalho foi identificar, em cobranças de pênalti, os ângulos da articulação do tornozelo do membro de suporte, durante o posicionamento do pé de apoio, a distância entre o pé de apoio e a bola, a velocidade de saída da bola com chutes convertidos em gol ou desperdiçados. Para o cálculo dos ângulos utilizaramse os ângulos de Euler. Foi utilizado um sistema de bases locais para perna e pé do membro de suporte, construídas a partir da fixação de marcadores passivos em seis proeminências ósseas de interesse. O estudo contou com dez jogadores e um goleiro, todos integrantes da equipe de futebol de campo da categoria adulta da Universidade Estadual Paulista - Campus Rio Claro. Cada um dos jogadores realizou uma série de dez cobranças de pênalti. Entretanto, para análise das variáveis de interesse foram utilizadas apenas sete cobranças de cada participante em função da oclusão de marcadores. O evento analisado consistiu no posicionamento do pé de apoio do membro de suporte, dado pelo toque do calcanhar até o último contato do mesmo com o solo, durante as cobranças pênalti. As imagens foram registradas por quatro câmeras digitais para visualização dos marcadores passivos na perna e no pé dos participantes. Uma quinta câmera foi posicionada fora da grande área do goleiro com a finalidade de visualizar o gol para identificação de cobranças convertidas em gol ou desperdiçadas ...<br>Abstract: The soccer penalty kick has become a decisive factor in the result of many games and competitions. Considering that the number of penalty kicks wasted in official games is from 25 to 33% of the accomplished penalty kicks and the increase of the number of penalty kicks in official games, becomes evident the need of new investigations that can improve the kickers performance, with more necessary and efficient kicks being converted in goal. Therefore, the aim of this work was to identify, in penalty kicks, the joint angles of the ankle of the support member, during the positioning of the support foot, the distance between the support foot and the ball, the speed of exit of the ball with kicks converted in goal or wasted. The angles were calculated by the Euler angles. It was used a local bases system for the leg and foot of the support member, built starting from the fixation of passive markers in six bone prominences of interest. The study was composed by ten soccer players and one goalkeeper, all members of the adult soccer team of São Paulo State University - Rio Claro Campus. Each one of the players accomplished a series of ten penalty kicks. However, for analysis of the variables of interest only seven kicks of each participant were used in function of the occlusion of markers. The analyzed event consisted of the positioning of the support foot of the support member, given by the touch of the heel to the last contact to the ground, during the penalties kicks. The images were filmed by four digital cameras focusing the passive markers placed on the leg and foot of the participants. A fifty camera was placed out of goalkeeper's great area with the purpose of focus from goal area, the identification of the kicks converted in goal or wasted. Further on, the cameras images were transferred to a computer and the cartesian coordinates of the passive markers were obtained through DVIDEOW software. It was identified an amplitude of 21.5° for ...<br>Mestre
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7

Barbieri, Fabio Augusto. "O chute com o membro dominante e não dominante realizado com a bola parada e em deslocamento no futsal /." Rio Claro : [s.n.], 2007. http://hdl.handle.net/11449/87427.

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Orientador: Sergio Augusto Cunha<br>Banca: Lilian Teresa Bucken Gobbi<br>Banca: René Brenzikofer<br>Resumo: O futsal tem sido estudado sob o enfoque de diversos temas e olhares. Neste trabalho o futsal foi analisado através da perspectiva da Biomecânica. O objetivo do estudo foi descrever o chute executado com o membro dominante e com o membro não dominante realizado com a bola parada e em deslocamento no futsal. Participaram dez jogadores da equipe de futsal adulta da UNESP Campus Rio Claro, os quais realizaram dez chutes com a bola em deslocamento e dez chutes com a bola parada, sendo cinco chutes com cada membro para cada situação. Os chutes foram realizados com o dorso do pé, procurando empregar velocidade máxima a bola e objetivando acertá-la em um alvo de 1m2 colocado no centro do gol. Os movimentos foram filmados por sete câmeras posicionadas de modo que enfocassem os marcadores passivos colocados em ambos os membros inferiores dos participantes. As imagens destes chutes foram transferidas para o computador e trabalhadas no software DVIDEOW, sendo realizado os processos de desentrelaçamento, sincronização, medição e reconstrução 3D. Após isso, ocorreu a suavização das através função LOESS e através do método de Euler foram calculados os ângulos de rotação das articulações. Para isso, foi definida uma base ortonormal associada a cada segmento corporal através dos versores i, j e k. A velocidade angular foi calculada através da derivada dos ângulos em função do tempo para cada articulação. Para o desempenho foram avaliados os acertos e erros do alvo. Para a velocidade da bola e velocidade do pé do membro de chute foi realizada, em função do tempo, uma regressão linear de primeiro grau para os eixos X e Y e uma regressão linear do segundo grau para o eixo Z, sendo a xiii velocidade média da bola e do pé calculada a partir da distância percorrida dividida pelo tempo de percurso...(Resumo completo, clicar acesso eletrônico abaixo)<br>Abstract: The futsal has been studied under the focus of several themes. This work analyzed the futsal in the Biomechanics perspective. The aim of this study was to describe the kick with the dominant and non-dominant limb performed with the stationary and in displacement ball in futsal. Ten players participated of the UNESP - Campus Rio Claro futsal adult team. They performed ten kicks with the ball in displacement and ten kicks with the stationary ball (five kicks with each limb for each situation). The kicks performed were the maximal instep kicks and should hit a 1 x 1 m target positioned in the goal centre. The movements were recorded by six cameras with focus in the passive markers placed in the participants inferior limbs. The kicking images were transferred to the computer and worked in the DVIDEOW software. The extracted files of this software were smoothed through the LOESS function and joints rotation angles were calculated by the Euler method. For that, it was defined the ortonormal base associated to each corporal segment through i, j and k versores. The angular speed was calculated through angles derived for the time and for each joint. The kicks performance was analyzed through the observation of the success or failure of hitting in the target. For the ball and kick limb foot speed were carried through, in function of the time, a linear regression of first degree for X and Y axles and a linear regression of second degree for Z axle. Then, the average ball and foot speed was calculated from the covered distance divided for the time for the data parameterized in each kick. The results for the angular kinematic standard and angular speed showed significant differences among dominant and not dominant kick and support limb. For the kick type small differences was 126 detected mainly at the moment of contact with the ball...(Complete abstract click eletronic access below)<br>Mestre
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8

Lee, Jaewoo. "Efficient inverse methods for supersonic and hypersonic body design, with low wave drag analysis." Diss., Virginia Tech, 1991. http://hdl.handle.net/10919/37406.

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With the renewed interest in the supersonic and hypersonic flight vehicles, new inverse Euler methods are developed in these flow regimes where a space marching numerical technique is valid. In order to get a general understanding for the specification of target pressure distributions, a study of minimum drag body shapes was conducted over a Mach number range from 3 to 12. Numerical results show that the power law bodies result in low drag shapes, where the n=.69 (l/d = 3) or n=.70 (l/d = 5) shapes have lower drag than the previous theoretical results (n=.75 or n=.66 depending on the particular form of the theory). To validate the results, a numerical analysis was made including viscous effects and the effect of gas model. From a detailed numerical examination for the nose regions of the minimum drag bodies, aerodynamic bluntness and sharpness are newly defined. Numerous surface pressure-body geometry rules are examined to obtain an inverse procedure which is robust, yet demonstrates fast convergence. Each rule is analyzed and examined numerically within the inverse calculation routine for supersonic (M<sub>∞ </sub>= 3) and hypersonic (M<sub>∞ </sub> = 6.28) speeds. Based on this analysis, an inverse method for fully three dimensional supersonic and hypersonic bodies is developed using the Euler equations. The method is designed to be easily incorporated into existing analysis codes, and provides the aerodynamic designer with a powerful tool for design of aerodynamic shapes of arbitrary cross section. These shapes can correspond to either "wing like" pressure distributions or to "body like" pressure distributions. Examples are presented illustrating the method for a non-axisymmetric fuselage type pressure distribution and a cambered wing type application. The method performs equally well for both nonlifting and lifting cases. For the three dimensional inverse procedure, the inverse solution existence and uniqueness problem are discussed. Sample calculations demonstrating this problem are also presented.<br>Ph. D.
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Miana, Andreia Nogueira. "Comparação entre protocolos de marcadores anatomicos e tecnicos para analise cinematica na marcha e na corrida." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/275217.

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Orientador: Ricardo Machado Leite de Barros<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Educação Fisica<br>Made available in DSpace on 2018-08-08T23:00:32Z (GMT). No. of bitstreams: 1 Miana_AndreiaNogueira_M.pdf: 1861684 bytes, checksum: 665eaddcfbbcd37b0517005f4dfb680e (MD5) Previous issue date: 2007<br>Resumo: O propósito deste trabalho foi comparar dois protocolos para análise cinemática de velocistas em função das velocidades, segmentos corporais e ângulos articulares durante a marcha e a corrida. Um protocolo utiliza marcadores fixados diretamente sobre a pele e outro utiliza marcadores montados sobre estruturas rígidas fixadas no segmento corporal. Seis velocistas do sexo masculino, usando ambos os protocolos, andaram a 5 Km/h e correram a 20 Km/h, em uma esteira ergométrica. Os velocistas foram representados por um modelo tridimensional constituído por quinze segmentos corporais: cabeça, tórax, pelve, pés, pernas, coxas, braços e antebraços. Foram utilizadas oito câmeras de vídeo digital (120 Hz) para aquisição das imagens e a calibração das câmeras e reconstrução das coordenadas 3D dos marcadores foram feitas no software Dvideo®. O tratamento e análise dos dados foram feitos em ambiente Matlab??7.0. Os resultados mostraram que a variabilidade do comprimento dos segmentos e das distâncias entre os marcadores e a diferença máxima entre os ângulos obtidos por cada protocolo foram maiores com o aumento da velocidade, mostrando que os erros na análise do movimento durante a corrida foram maiores que estes durante a marcha. Não houve efeito das velocidades na correlação entre os ângulos obtidos por cada protocolo. A variabilidade da distância entre os marcadores foi maior nos membros inferiores do que nos membros superiores e a variabilidade do comprimento da perna foi maior do que esta nos outros segmentos. Os resultados também mostraram que a maior correlação foi encontrada entre os ângulos de flexão/extensão (0,99) obtidos por cada protocolo e para cada articulação, seguido dos ângulos de adução/abdução (0,78) e dos ângulos de rotação interna/externa (0,65). E os menores valores encontrados na diferença angular máxima foram entre os ângulos de flexão/extensão (6,3° ± 3,4°) obtidos por cada protocolo e para cada articulação, seguido dos ângulos de adução/abdução (13,2° ± 7,9°) e dos ângulos de rotação interna/externa (17,2° ± 8,4°). Os protocolos não apresentaram diferenças na variabilidade do comprimento dos segmentos e também na análise da cinemática angular, porém os ângulos de adução/abdução e rotação externa/interna devem ser observados com mais cautela<br>Abstract: The purpose of this study was to compare two protocols for kinematical analysis of sprinters according to velocities, body segments and joint angles during walking and running. The first protocol uses retroreflective markers mounted on fixtures attached to the body segment and the second uses retroreflective markers directly located on the skin surface. Six male athletes were studied during treadmill running at 5 and 20 Km/h and recorded with eight 120 Hz video cameras. A three-dimensional model constituted by fifteen segments represented the sprinters: head, thorax, pelvis, the right and left feet, shanks, thighs, scapulas, arms and forearms. The calibration of the cameras, the synchronization of the registrations and the 3D reconstruction of the coordinates of the markers were done in the Dvideo ® software. All data were analyzed using Matlab® 7.0. The results show that the variability of the length of the segments and of the distances between the markers and the maximum difference maximum between the angles obtained by each protocol were higher with the increase of the velocities, showing that the errors in the analysis of the movement during the running were larger than these ones during the gait. There was no effect of the velocities in the correlation between the angles obtained by each protocol. The variability of the distances between the markers in the lower limb were higher than this one in the upper limbs and the variability of the length of the shank was higher than this one in the other segments. The results also showed a higher correlation was found between the flexion/extension angles (0,99) obtained by each protocol and for each joint, followed by the abduction/adduction angles (0,78) and the angles of internal/external rotation (0,65). The lower values found in the maximum angular difference were between the flexion/extension angles (6,3° ± 3,4°) obtained by each protocol and for each articulation, followed by the abduction/adduction angles (13,2° ± 7,9°) and the angles of internal/external rotation (17,2° ± 8,4°). No differences were found in the variability of the length of the segments and also in the analysis of the angular kinematics, however the adduction/abduction and internal/external rotation angles should be regarded with much more caution<br>Mestrado<br>Biodinamica do Movimento Humano<br>Mestre em Educação Física
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Silva, Rênad Ferreira da. "Transformações Geométricas no Plano e no Espaço." Universidade Federal da Paraíba, 2013. http://tede.biblioteca.ufpb.br:8080/handle/tede/7476.

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Submitted by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2015-05-19T14:20:06Z No. of bitstreams: 2 arquivototal.pdf: 9893623 bytes, checksum: 211bb6b2f2a20721abf5b2948352c518 (MD5) license_rdf: 22190 bytes, checksum: 19e8a2b57ef43c09f4d7071d2153c97d (MD5)<br>Approved for entry into archive by Maria Suzana Diniz (msuzanad@hotmail.com) on 2015-05-19T14:27:36Z (GMT) No. of bitstreams: 2 arquivototal.pdf: 9893623 bytes, checksum: 211bb6b2f2a20721abf5b2948352c518 (MD5) license_rdf: 22190 bytes, checksum: 19e8a2b57ef43c09f4d7071d2153c97d (MD5)<br>Made available in DSpace on 2015-05-19T14:27:36Z (GMT). No. of bitstreams: 2 arquivototal.pdf: 9893623 bytes, checksum: 211bb6b2f2a20721abf5b2948352c518 (MD5) license_rdf: 22190 bytes, checksum: 19e8a2b57ef43c09f4d7071d2153c97d (MD5) Previous issue date: 2013-08-14<br>Abstract: In this work we study some geometric transformations in the plane and the space. Initially, we present some special types of transformations in the plane and find the matrix of each of these transformations. In the second part we discourse the transformations in the space, emphasizing the rotations. We will use the angles of Euler to determine a rotation in the space around the Cartesian axes and define an equation which allows to rotate a vector around any axis. We also discuss the homogeneous spaces aiming the matrix representation of transformations of translation. Finally, we use the structure of the quaternions group to present a second form to rotation vectors and composition of rotations in the space. We emphasize that this study is essential to describe the motion of objects in the plane and in the space.<br>Neste trabalho estudamos algumas das transformações geométricas no Plano e no Espaço. Inicialmente, apresentamos alguns tipos de transformações especiais no Plano e encontramos a matriz de cada uma destas transformações. Na segunda parte abordamos as transformações no Espaço, dando ênfase as rotações. Utilizamos os ângulos de Euler para determinar uma rotação no espaço em torno dos eixos cartesianos e definimos uma equação que permite rotacionar um vetores em torno de um eixo qualquer. Também abordamos os espaços homogêneos objetivando a representa ção matricial da transformação de translação. Por último, usamos a estrutura do grupo dos Quatérnios para apresentar uma segunda forma de fazer rotações de vetores e composição de rotações no espaço. Ressaltamos que este estudo é fundamental para descrever o movimento de objetos no plano e no espaço.
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Books on the topic "Angles of Euler"

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Gerasimov, I. A. Zadacha dvukh nepodvizhnykh t︠s︡entrov L. Ėĭlera. Vek 2, 2007.

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Nallasamy, M. Unsteady Euler analysis of the flow field of a propfan at an angle of attack. Lewis Research Center, 1990.

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Lessard, Wendy B. Subsonic analysis of 0.04-scale F-16XL models using an unstructured Euler code. National Aeronautics and Space Administration, Langley Research Center, 1996.

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Landis, Markley F., and United States. National Aeronautics and Space Administration. Scientific and Technical Information Division., eds. Minimal parameter solution of the orthogonal matrix differential equation. National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988.

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Comparison of Quaternion and Euler Angle Methods for Joint Angle Animation of Human Figure Models. Storming Media, 1999.

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F, Groeneweg John, and United States. National Aeronautics and Space Administration., eds. Unsteady Euler analysis of the flow field of a propfan at the angle of attack. National Aeronautics and Space Administration, 1990.

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United States. National Aeronautics and Space Administration., ed. Euler/Navier-Stokes flow computations on flexible configurations for stability analysis. National Aeronautics and Space Administration, American Institute of Aeronautics and Astronautics, 1995.

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United States. National Aeronautics and Space Administration., ed. Euler/Navier-Stokes flow computations on flexible configurations for stability analysis. National Aeronautics and Space Administration, American Institute of Aeronautics and Astronautics, 1995.

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United States. National Aeronautics and Space Administration., ed. Euler/Navier-Stokes flow computations on flexible configurations for stability analysis. National Aeronautics and Space Administration, American Institute of Aeronautics and Astronautics, 1995.

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Euler/Navier-Stokes flow computations on flexible configurations for stability analysis. National Aeronautics and Space Administration, American Institute of Aeronautics and Astronautics, 1995.

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Book chapters on the topic "Angles of Euler"

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Markley, F. Landis, and John L. Crassidis. "Euler Angles." In Fundamentals of Spacecraft Attitude Determination and Control. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-0802-8_9.

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Flores, Paulo. "Euler Angles, Bryant Angles and Euler Parameters." In Concepts and Formulations for Spatial Multibody Dynamics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16190-7_4.

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Rull, Aleix, and Federico Thomas. "On Generalized Euler Angles." In New Trends in Mechanism and Machine Science. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09411-3_7.

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Glabe, Jeffrey. "Euler Angles and Roll Pitch Yaw Representation." In Encyclopedia of Robotics. Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-642-41610-1_129-1.

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Saeki, Shusuke, Kiyoshi Asai, Katsutoshi Takahashi, Yutaka Ueno, Katsunori Isono, and Hitoshi Iba. "GA-Based Inference of Euler Angles for Single Particle Analysis." In Genetic and Evolutionary Computation — GECCO 2003. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/3-540-45110-2_122.

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Xu, Xin, and Xin Teng. "Classroom Attention Analysis Based on Multiple Euler Angles Constraint and Head Pose Estimation." In MultiMedia Modeling. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-37731-1_27.

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Liu, Yang, Hua Wang, Feng Cheng, Menglong Wang, and Xiaoyu Ni. "Improvement Method of Full-Scale Euler Angles Attitude Algorithm for Tail-Sitting Aircraft." In Lecture Notes in Electrical Engineering. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7398-4_27.

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Xu, Gang, and Noriko Sugimoto. "A linear algorithm for motion from three weak perspective images using Euler angles." In Computer Vision — ACCV'98. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-63931-4_260.

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Rom, Josef. "Solutions of the Euler Equations for Flows over Configurations at High Angles of Attack." In High Angle of Attack Aerodynamics. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4612-2824-0_8.

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Šimák, Vojtech, Dušan Nemec, Jozef Hrbček, and Aleš Janota. "Inertial Navigation: Improving Precision and Speed of Euler Angles Computing from MEMS Gyroscope Data." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-41647-7_21.

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Conference papers on the topic "Angles of Euler"

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Allgeuer, Philipp, and Sven Behnke. "Fused Angles and the Deficiencies of Euler Angles." In 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). IEEE, 2018. http://dx.doi.org/10.1109/iros.2018.8593384.

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Rathod, Cheta M., and Ahmed A. Shabana. "Rail Geometry and Euler Angles." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13965.

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In railroad vehicle dynamics, Euler angles are often used to describe the track geometry (track centerline and rail space curves). The tangent and curvature vectors as well as local geometric properties such as the curvature and torsion can be expressed in terms of Euler angles. Some of the local geometric properties and Euler angles can be related to measured parameters that are often used to define the track geometry. The Euler angles employed, however, define a coordinate system that may differ from the Frenet frame used in the classical differential geometry. The relationship between the track frame used in railroad vehicle dynamics and the Frenet frame used in the theory of curves is developed in this paper and used to shed light on some of the formulas and identities used in the geometric description in railroad vehicle dynamics. The conditions under which the two frames (track and Frenet) become equivalent are presented and used to obtain expressions for the curvature and torsion in terms of Euler angles and their derivatives with respect to the arc length.
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Schwab, A. L., and J. P. Meijaard. "How to Draw Euler Angles and Utilize Euler Parameters." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99307.

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This article presents a way to draw Euler angles such that the proper operation and application becomes immediately clear. Furthermore, Euler parameters, which allow a singularity-free description of rotational motion, are discussed within the frame-work of quaternion algebra and are applied to the kinematics and dynamics of a rigid body.
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Stefanov, A. A., and D. M. Mladenov. "Euler angles parametrization of a two qubit system." In RENEWABLE ENERGY SOURCES AND TECHNOLOGIES. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5127498.

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Peksen, E. "Tilt Angles And Euler Deconvolution Methods Of Emi Data." In 9th Congress of the Balkan Geophysical Society. EAGE Publications BV, 2017. http://dx.doi.org/10.3997/2214-4609.201702522.

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Tamayo, Alejandro J. Malo, Cesar A. Villasenor Rios, Juan Manuel Ibarra Zannatha, and Santos M. Orozco Soto. "Multirotor modelling and simulation: Screws, S.O.A., Euler angles, quaternions, wind." In 2017 14th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE). IEEE, 2017. http://dx.doi.org/10.1109/iceee.2017.8108853.

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Paces, Pavel, and Jan Popelka. "Performance evaluation of two altimeters intended for euler angles measurement." In 2013 IEEE/AIAA 32nd Digital Avionics Systems Conference (DASC). IEEE, 2013. http://dx.doi.org/10.1109/dasc.2013.6712653.

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Paces, Pavel, and Jan Popelka. "Performance evaluation of two altimeters intended for euler angles measurement." In 2013 IEEE/AIAA 32nd Digital Avionics Systems Conference (DASC). IEEE, 2013. http://dx.doi.org/10.1109/dasc.2013.6719735.

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Yoon, Sugjoon. "A Study on Optimal Switching Angles in Dual-Euler Method." In AIAA Modeling and Simulation Technologies Conference and Exhibit. American Institute of Aeronautics and Astronautics, 2002. http://dx.doi.org/10.2514/6.2002-4606.

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Karpov, Artem D., and Anton A. Zhilenkov. "Designing the platform for monitoring and visualization orientation in Euler angles." In 2017 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (EIConRus). IEEE, 2017. http://dx.doi.org/10.1109/eiconrus.2017.7910551.

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Reports on the topic "Angles of Euler"

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Amoruso, Michael J. Euler Angles and Quaternions in Six Degree of Freedom Simulations of Projectiles. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada417259.

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