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Journal articles on the topic 'Spherical Erro'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Fernandes Santana, Marianna, Henos Carlos Knupler Jordão Lisboa, Rafael Coll Delgado, et al. "DESEMPENHO DO MODELO HadRM3 BASEADO EM GEOESTATÍSTICA PARA SUBSIDIAR O ZONEAMENTO DA HEVEICULTURA NA AMAZÔNIA." Nativa 3, no. 2 (2015): 83–88. http://dx.doi.org/10.31413/nativa.v3i2.2013.

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Foi avaliado o desempenho do modelo HadRM3 no período “baseline” (1961-1990) por meio de métodos de interpolação espacial com a Krigagem e CoKrigagem ordinária da temperatura média do ar (ºC), utilizando os modelos espaciais: Exponential, Gaussian e Spherical para dar subsídios a zoneamentos agroclimáticos presentes e futuros da Seringueira (Hevea brasiliensis L.) na região da Amazônia Legal. Utilizaram-se dados diários de temperatura média do ar do HadRM3 para o clima presente “baseline” (1961 a 1990) e as Normais Climatológicas (1961-1990) do INMET. Para validação foram adotados os seguintes

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Nogueira, Danilo Batista, Alexsandro Oliveira Da Silva, and Ana Paula Nunes Da Silva. "COMPARAÇÃO ENTRE MÉTODOS DE INTERPOLAÇÃO ESPACIAL PARA A ESTIMATIVA DA DISTRIBUIÇÃO DE PRECIPITAÇÃO NO CEARÁ-BRASIL." IRRIGA 25, no. 1 (2020): 131–42. http://dx.doi.org/10.15809/irriga.2020v25n1p131-142.

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COMPARAÇÃO ENTRE MÉTODOS DE INTERPOLAÇÃO ESPACIAL PARA A ESTIMATIVA DA DISTRIBUIÇÃO DE PRECIPITAÇÃO NO CEARÁ-BRASIL  DANILO BATISTA NOGUEIRA1; ALEXSANDRO OLIVEIRA DA SILVA 2 E ANA PAULA NUNES DA SILVA 3   1 Departamento de Engenharia Agrícola, Universidade Federal do Ceará, Avenida Mister Hull, S/N-Campus do Pici, Centro de Ciências Agrárias, Bloco 804, CEP 60455-760, Fortaleza, Ceará, Brasil, danilo.b.n@alu.ufc.br 2 Departamento de Engenharia Agrícola, Universidade Federal do Ceará, Avenida Mister Hull, S/N-Campus do Pici, Centro de Ciências Agrárias, Bloco 804,

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3

Suthar Mihir Raj, Himanshu. "Analysis of Mechanical Error in Spherical Geneva Mechanism - A Stochastic Approach by." International Journal of Science and Research (IJSR) 12, no. 7 (2023): 1913–22. http://dx.doi.org/10.21275/sr23722114758.

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4

Knebe, Alexander, and Volkmar Wießner. "Triaxial versus Spherical Dark Matter Halo Profiles." Publications of the Astronomical Society of Australia 23, no. 3 (2006): 125–28. http://dx.doi.org/10.1071/as06013.

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AbstractWhen analyzing dark matter halos forming in cosmological n-body simulations, it is common practice to obtain the density profile utilizing spherical shells. However, it is also known that the systems under investigation are far from spherically symmetric but, rather, follow a triaxial mass distribution. In this study we present an estimator for the error introduced by spherically averaging an elliptical mass distribution. We systematically investigate the differences arising when using a triaxial density profile under the assumption of spherical symmetry. We show that the variance in t

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Dietze, Holger, and Marina Kruse. "Postoperative Stabilität der Refraktion nach Katarakt-Operation." Optometry & Contact Lenses 1, no. 1 (2021): 14–20. http://dx.doi.org/10.54352/dozv.oeec9554.

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Aim. The goal of the present study is to determine how much time must pass after a cataract surgery with no complications to achieve a sufficiently stable refraction. Subjects and methods. We measured the postoperative refraction of 61 pseudophakic subjects (mean age: 74.32 ± 7.11 years) five times with an autorefractor. The subjects had undergone unilateral cataract surgery and the time intervals for the measurement went from one day to eight weeks after the operation. In order to obtain the spherical equiva- lent (SE) and the cylinder power, the difference from each measurement and the last

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ITOIGAWA, Fumihiro, Takashi NAKAMURA, and Koichi FUNABASHI. "Harmonic Analysis by Spherical Function for Evaluating Form Error of Spherical Parts." JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry 35, no. 1 (1992): 174–79. http://dx.doi.org/10.1299/jsmec1988.35.174.

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ITOIGAWA, Fumihiro, Takashi NAKAMURA, and Koichi FUNABASHI. "Harmonic analysis by spherical function for evaluating form error of spherical parts." Transactions of the Japan Society of Mechanical Engineers Series C 57, no. 533 (1991): 296–301. http://dx.doi.org/10.1299/kikaic.57.296.

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8

Jyoti, Kumar Sachin, Karak Pradeep, and Rajnandani. "Assessing Correlation IOL Power and Refractive Error in Superior Phacoemulsification: A Pre- and Post-Operative Comparative Study." International Journal of Current Pharmaceutical Review and Research 15, no. 08 (2023): 406–9. https://doi.org/10.5281/zenodo.12567501.

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AbstractAim: The aim of the present study was to assess the correlation between preoperative calculated IOL power andpost-operative refractive error in superior phacoemulsification.Methods: The study design was retrospective analysis which included 200 post-operative cataract patient dataat department of Ophthalmology who underwent superior phacoemulsification surgery for the period of twoyears. The surgeries were done by four different surgeons of equal competence. A scan was done by USbiometry and IOL master.Results: 24% patients had 0 refractive error followed by 18% had >0.25- ≤0.5 r

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Lin, Shaobo, Jinshan Zeng, and Zongben Xu. "Error Estimate for Spherical Neural Networks Interpolation." Neural Processing Letters 42, no. 2 (2014): 369–79. http://dx.doi.org/10.1007/s11063-014-9361-x.

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10

Dutta, S., J. Glimm, J. W. Grove, D. H. Sharp, and Yongmin Zhang. "Error comparison in tracked anduntracked spherical simulations." Computers & Mathematics with Applications 48, no. 10-11 (2004): 1733–47. http://dx.doi.org/10.1016/j.camwa.2003.08.014.

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Pan, ChengGang, and GaoFei Zhang. "Development of angular velocity vector measurement of a spherical rotor based on color sensors." Transactions of the Institute of Measurement and Control 40, no. 13 (2017): 3736–43. http://dx.doi.org/10.1177/0142331217734041.

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Spherical actuators have many applications in satellite attitude control. It is very important for closed-loop control to measure the angular velocity vector of the spherical rotor accurately and quickly. This paper proposes one non-contact method for measuring angular velocity vector of a spherical rotor, using four color sensors. The spherical rotor surface should be color-coded with red, blue, green, magenta, yellow, cyan, black and white, while each color covers an octant in sequence. Four color sensors are mounted about the vertexes of a tetrahedron, used to sense the color of the spheric

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12

Sahu, Kaushal Kishor, Sachitanand Singh, and Renu Thakur. "Visumax Femtosecond Laser Impact on Myopic Residual Refractive Error." Journal of Multidisciplinary Research in Healthcare 8, no. 1 (2021): 17–20. http://dx.doi.org/10.15415/jmrh.2021.81002.

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Background: Compare the residual refractive power following “small incision lenticule extraction” (SMILE) surgical correction in myopic patients with moderate to severe myopia and myopic astigmatism. Aim: To study the pre op with post op residual refractive status comparison in low to high myopia and myopic astigmatism patients under gone ReLEx SMILE operation. Methods: Prospective comparative analysis with 65 eyes of 33 patients classified into three groups19: mild myopia -1.00 to -3.00 D, moderate myopia -3.25 to -6.00 D, and high myopia -6.25 to -10.00 D, comprising spherical and cylindrica

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13

Shen, Zhengyang, Tiancheng Shen, Zhouchen Lin, and Jinwen Ma. "PDO-eS2CNNs: Partial Differential Operator Based Equivariant Spherical CNNs." Proceedings of the AAAI Conference on Artificial Intelligence 35, no. 11 (2021): 9585–93. http://dx.doi.org/10.1609/aaai.v35i11.17154.

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Spherical signals exist in many applications, e.g., planetary data, LiDAR scans and digitalization of 3D objects, calling for models that can process spherical data effectively. It does not perform well when simply projecting spherical data into the 2D plane and then using planar convolution neural networks (CNNs), because of the distortion from projection and ineffective translation equivariance. Actually, good principles of designing spherical CNNs are avoiding distortions and converting the shift equivariance property in planar CNNs to rotation equivariance in the spherical domain. In this

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Xu, K.-Z., C.-J. Wei, and D.-J. Hu. "Geometric error compensation of spherical surface grinding system." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 225, no. 4 (2011): 473–82. http://dx.doi.org/10.1243/09544054jem1921.

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Kinematics theory for a multi-body system is used to analyse translational joint error, rotational joint error, and quadrature error in a spherical grinding system. A virtual grinding point method is proposed that is based on process features, and the feasibility as well as effectiveness of this method is demonstrated. A volumetric error model of the grinding system is created and the compensation method is coded into a control computer program. A laser interferometer is used to experimentally measure the error both with and without the proposed error compensation scheme. The experimental resu

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15

SMITH, GEORGE. "Relation between Spherical Refractive Error and Visual Acuity." Optometry and Vision Science 68, no. 8 (1991): 591–98. http://dx.doi.org/10.1097/00006324-199108000-00004.

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16

Wang, Wen, Wenjun Qiu, He Yang, Keqing Lu, Zhanfeng Chen, and Bingfeng Ju. "Error Analysis of a Spherical Capacitive Sensor for the Micro-Clearance Detection in Spherical Joints." Micromachines 11, no. 9 (2020): 837. http://dx.doi.org/10.3390/mi11090837.

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Spherical joints have attracted increasing interest in the engineering applications of machine tools, industrial robots, medical equipment, and so on. As one of the promising methods of detecting the micro-clearance in spherical joints, the measurement accuracy of a spherical capacitive sensor could be affected by imperfectness during the manufacturing and installation of the sensor. This work presents error analysis of a spherical capacitive sensor with a differential structure and explores the dependence of the differential capacitance on manufacturing and the installation imperfectness. Fiv

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Shi, Zhaoyao, Huixu Song, Hongfang Chen, and Yanqiang Sun. "Research on Measurement Accuracy of Laser Tracking System Based on Spherical Mirror with Rotation Errors of Gimbal Mount Axes." Measurement Science Review 18, no. 1 (2018): 13–19. http://dx.doi.org/10.1515/msr-2018-0003.

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Abstract This paper presents a novel experimental approach for confirming that spherical mirror of a laser tracking system can reduce the influences of rotation errors of gimbal mount axes on the measurement accuracy. By simplifying the optical system model of laser tracking system based on spherical mirror, we can easily extract the laser ranging measurement error caused by rotation errors of gimbal mount axes with the positions of spherical mirror, biconvex lens, cat’s eye reflector, and measuring beam. The motions of polarization beam splitter and biconvex lens along the optical axis and ve

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Magome, Kazuyoshi, Naoyuki Morishige, Akifumi Ueno, Taka-Aki Matsui, and Eiichi Uchio. "Prediction of cycloplegic refraction for noninvasive screening of children for refractive error." PLOS ONE 16, no. 3 (2021): e0248494. http://dx.doi.org/10.1371/journal.pone.0248494.

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Detection of refractive error in children is crucial to avoid amblyopia and its impact on quality of life. We here performed a retrospective study in order to develop prediction models for spherical and cylinder refraction in children. The enrolled 1221 eyes of 617 children were divided into three groups: the development group (710 eyes of 359 children), the validation group (385 eyes of 194 children), and the comparison group (126 eyes of 64 children). We determined noncycloplegic and cycloplegic refraction values by autorefractometry. In addition, several noncycloplegic parameters were asses

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19

Sun, Huiyuan, Craig Jin, Jihui (Aimee) Zhang, Prasanga N. Samarasinghe, and Thushara Abhayapala. "A hat-shape error microphone array for user-friendly spatial active noise control." Journal of the Acoustical Society of America 154, no. 4_supplement (2023): A123. http://dx.doi.org/10.1121/10.0022994.

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Spatial active noise control (ANC) has been developed in the past decades to reduce unwanted acoustic noise over a desired region by generating an anti-noise field with secondary loudspeakers. Unlike conventional multi-channel ANC systems, the integration of spherical harmonic-based sound field analysis allows the ANC system to reduce noise over a continuous region surrounding the user's head rather than discrete points. However, the use of a spherical error microphone array on the boundary of the region for spherical harmonic analysis poses a limitation as it obstructs user access to the cont

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Ren, Wei, Zhi Hui Xia, and C. Q. Han. "Controlling Profile Error for Spherical Surface Micro-Lens in Precision Grinding." Advanced Materials Research 215 (March 2011): 361–65. http://dx.doi.org/10.4028/www.scientific.net/amr.215.361.

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As the consumer market in the optics, electronics and aerospace industries grows, the profile accuracy demand for ultra-precision flat, spherical and aspheric optical surface micro-lens increases. Previous studies have found that machine system accuracy, tool alignment error and tool radius measurement error impact greatly on the profile accuracy of the machined surface. In this paper, we developed a grinding system based on the ultra-precision diamond lathe, presented a unified mathematical model of effects of all the geometric errors to the shape error by using the multi-body system theory.

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21

Yi Xian, Cui Chun-yan, Hu Xin-ning, et al. "Analysis of the main factors affecting the polar axis offset characteristics of intact spherical superconducting rotors." Acta Physica Sinica 74, no. 1 (2025): 0. http://dx.doi.org/10.7498/aps.74.20241297.

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Superconducting rotor has great potential for application in the field of precision measurement by virtue of its unique physical properties. The superconducting rotor magnetic levitation device can make high-precision angular velocity sensors. Under the action of external interference torque, the pole-axis deviation from the initial position is the cause of the superconducting rotor pole-axis drift error, in which the spherical surface error and the earth's rotation belong to the main sources of error, and compensating the pole-axis drift speed caused by the spherical surface error of the supe

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22

Huang, Zi Fan, Yue Long Ma, Jian Qiang Zhang, Xi Gui Zheng, and Jun Liu. "Research on the Process of Ring-Involute Tooth Spherical Gear Based on Rapid Prototyping Processing." Key Engineering Materials 667 (October 2015): 575–81. http://dx.doi.org/10.4028/www.scientific.net/kem.667.575.

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The ring-involute tooth spherical gear with two degrees of freedom is considered as the research object. Through the combination of theory and experiment, a further study is conducted on it. According to the theory of rapid prototyping, comprehensive consideration of the ring-involute teeth spherical gear tooth profile surface forming principle and transmission features, traditional machining method, transmission error and the actual application, a fast processing method of the ring-involute tooth spherical gear is proposed. Spherical gear model is built in Solidworks surface modeling environm

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Jin, Gu, Su Xiao, Lai Hanrong, Zhang Bin, and Zhang Yawei. "Bush spherical center detection algorithm based on depth camera 3D point cloud." Journal of Physics: Conference Series 2417, no. 1 (2022): 012034. http://dx.doi.org/10.1088/1742-6596/2417/1/012034.

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Automated pruning is an inevitable trend in the improvement of modern gardens. In order to provide necessary information for automatic garden robots and satisfy the requirement of target detection and positioning during pruning, this paper proposed a bush spherical center detection algorithm based on a 3D depth camera point cloud. Firstly, the depth camera collected the bush image, and the results were aligned to the depth image to obtain the 3D point cloud of bush. Then the ROI was extracted by preprocessing, and the 3D point clouds of bush was obtained after filtering and coordinate transfor

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Feng, Jinlong, Zhenhan Yao, Yinghua Liu, Yuanjie Zou, and Xiaoping Zheng. "Some spherical boundary elements and a discretization error indicator for acoustic problems with spherical surfaces." Engineering Analysis with Boundary Elements 56 (July 2015): 176–89. http://dx.doi.org/10.1016/j.enganabound.2015.01.018.

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Hao, Shiwen, Zhili Zhang, Zhaofa Zhou, Junyang Zhao, Zhenjun Chang, and Zhihao Xu. "Analysis of Deflection of Vertical Compensation for Inertial Navigation System." Mathematical Problems in Engineering 2020 (December 1, 2020): 1–15. http://dx.doi.org/10.1155/2020/1975672.

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With the development of high-precision inertial navigation systems, the deflection of vertical (DOV), gravity disturbance, is still one of the main error sources that restrict navigation accuracy. For the DOV compensation of the Strapdown Inertial Navigation System (SINS) problem, the influences of the calculation degree of the spherical harmonic coefficient and the calculation error of the DOV on the compensation effect were studied. Based on the SINS error model, the error propagation characteristics of the DOV in SINS were analyzed. In addition, the high-precision global gravity field spher

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Rosenblatt, Amir, Michael Mimouni, Tzahi Sela, Gur Munzer, David Varssano, and Nir Sorkin. "Correlation between refractive state, corneal thickness, and keratometry in ametropic patients." European Journal of Ophthalmology 30, no. 5 (2019): 891–96. http://dx.doi.org/10.1177/1120672119845609.

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Purpose: To analyze the correlation between age, gender, refractive error, keratometry, and corneal thickness in a large group of subjects. Methods: This study is a retrospective analysis of patients who underwent refractive surgery between January 2000 and February 2015 at Care Vision Refractive Clinic, Tel Aviv, Israel. Patient demographics, subjective refraction, pachymetry, and average keratometry were collected. Results: Overall, 51,113 eyes of patients averaging 28.8 ± 9.3 years of which 53.9% were males were included. Average keratometry, spherical equivalent and cylindrical error diffe

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Qun, YUAN, JI Wen, and GAO Zhishan. "Geometric characteristics and error analysis of standard spherical lens." Journal of Applied Optics 41, no. 4 (2020): 858–68. http://dx.doi.org/10.5768/jao202041.0405002.

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Del Marco, S. "A series representation of the spherical error probability integral." IEEE Transactions on Aerospace and Electronic Systems 29, no. 4 (1993): 1349–56. http://dx.doi.org/10.1109/7.259539.

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Abd Almajeed, ReemHassan, and MohammedElhassan A. Elawad. "The effect of spherical refractive error on tear volume." Al-Basar International Journal of Ophthalmology 4, no. 4 (2017): 104. http://dx.doi.org/10.4103/bijo.bijo_14_18.

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ITOIGAWA, Fumihiro, Koichi FUNABASHI, and Takashi NAKAMURA. "Spherical form error measurement with two-dimensional fourier transform." Transactions of the Japan Society of Mechanical Engineers Series C 56, no. 524 (1990): 1028–33. http://dx.doi.org/10.1299/kikaic.56.1028.

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Reshetnikova, O. P., B. M. Iznairov, A. N. Vasin, N. V. Belousova, and A. V. Panfilova. "Base error for centerless grinding of spherical rolling elements." IOP Conference Series: Materials Science and Engineering 862 (May 28, 2020): 032010. http://dx.doi.org/10.1088/1757-899x/862/3/032010.

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Xie, Ya-nan, Xing-li Zhou, and Zheng-de Yang. "Error analysis of non-spherical raindrops on precipitation measurement." Journal of Shanghai University (English Edition) 15, no. 2 (2011): 92–95. http://dx.doi.org/10.1007/s11741-011-0699-2.

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Wang, Xuezhong, Banghui Hu, Hong Huang, et al. "Error inhomogeneity in the computation of spherical mean displacement." Journal of Meteorological Research 31, no. 6 (2017): 1133–48. http://dx.doi.org/10.1007/s13351-017-6848-1.

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Cao, Feilong, Huazhong Wang, and Shaobo Lin. "The estimate for approximation error of spherical neural networks." Mathematical Methods in the Applied Sciences 34, no. 15 (2011): 1888–95. http://dx.doi.org/10.1002/mma.1487.

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Li, Ming, and Feilong Cao. "Local uniform error estimates for spherical basis functions interpolation." Mathematical Methods in the Applied Sciences 37, no. 9 (2013): 1364–76. http://dx.doi.org/10.1002/mma.2898.

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Wang, Jinhu, Qingliang Zhao, Chunyu Zhang, Bing Guo, and Julong Yuan. "On-Machine Precision Form Truing and In-Situ Measurement of Resin-Bonded Spherical Diamond Wheel." Applied Sciences 10, no. 4 (2020): 1483. http://dx.doi.org/10.3390/app10041483.

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The resin-bonded spherical diamond wheel is widely used in arc envelope grinding, where the demands for form accuracy are high and the form truing process is challenging. In this paper, on-machine precision form truing of the resin-bonded spherical diamond wheel is accomplished by using a coarse-grained diamond roller, and in-situ measurement of the form-truing error is conducted through a laser scan micrometer. Firstly, a novel biarc curve-fitting method is proposed based on the in-situ measurement results to calculate the alignment error between the diamond roller and the spherical diamond w

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LI, LUOQING. "REGULARIZED LEAST SQUARE REGRESSION WITH SPHERICAL POLYNOMIAL KERNELS." International Journal of Wavelets, Multiresolution and Information Processing 07, no. 06 (2009): 781–801. http://dx.doi.org/10.1142/s0219691309003240.

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This article considers regularized least square regression on the sphere. It develops a theoretical analysis of the generalization performances of regularized least square regression algorithm with spherical polynomial kernels. The explicit bounds are derived for the excess risk error. The learning rates depend on the eigenvalues of spherical polynomial integral operators and on the dimension of spherical polynomial spaces.

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Hendarwati, Emy Khairil, Piter Lepong, and Suyitno Suyitno. "Pemilihan Semivariogram Terbaik Berdasarkan Root Mean Square Error (RMSE) pada Data Spasial Eksplorasi Emas Awak Mas." GEOSAINS KUTAI BASIN 6, no. 1 (2023): 47. http://dx.doi.org/10.30872/geofisunmul.v6i1.1072.

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Semivariogram merupakan perangkat dasar geostatistik yang digunakan untuk memvisualisasi, memodelkan, dan menghitung autokorelasi spasial dari antar data dalam suatu variabel. Semivariogram dibedakan menjadi dua, yaitu semivariogram eksperimental dan semivariogram teoritis. Terdapat tiga jenis model semivariogram teoritis, yaitu model spherical, model eksponensial, dan model gaussian. Penelitian ini bertujuan untuk menentukan model semivariogram terbaik berdasarkan nilai RMSE terkecil. Data penelitian ini adalah data sekunder eksplorasi emas yang terdiri dari data drillhole sebanyak 101 data.

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Hamza Tarkhan, Widad, Ahlam Habeeb Hussien, and Areej Saeed Abdul Shaheed. "The Effect of adding First Order Aberrations To Third Order Aberrations on Point Spread Function for Triangular Aperture." Journal of Kufa-Physics 12, no. 01 (2020): 23–31. http://dx.doi.org/10.31257/2018/jkp/2020/120104.

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In this work, Point Spread Function (PSF) for triangular aperture was studied, in case of ideal optical system, also in case of presence first order aberrations )focal error and tilt aberration) and third order aberrations (spherical ,coma, and astigmatism aberrations) individually, and for the same values of aberration factor )W=0.1λ …..0.5 λ ) for angle of rotation (ѱ =0). First order aberrations were added to third order aberrations, to obtain the best balance and to reduce the curve width of the (PSF), and to increase the Strehl ratio, like adding a tilt aberration to the coma aberration a

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Santiago, Héctor C., Katerin Ortiz, Andrés Rivera, et al. "Prevalence of refractive errors in children of Puerto Rico." International Journal of Ophthalmology 16, no. 3 (2023): 434–41. http://dx.doi.org/10.18240/ijo.2023.03.15.

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AIM: To determine the prevalence of refractive error in 5- to 17-year-old schoolchildren in Puerto Rico. METHODS: A quantitative descriptive study of 2867 children aged 5 to 17y from all seven educational regions of Puerto Rico was conducted from 2016–2019. Refractive error was determined via static and subjective refraction. Children with distance acuity ≤20/40 or near visual acuity ≤20/32 had a cycloplegic refraction. Data analysis included descriptive statistics, correlation coefficient, Kruskal?Wallis, Chi-square, and t test calculations. RESULTS: Twenty percent of the children had a spher

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Ivanets, H., S. Horielyshev, М. Ivanets, V. Voinov, O. Stavytskyi, and D. Baulin. "DEVELOPMENT OF A METHOD FOR SPHERICAL APPROXIMATION OF LUNEBERG SPHERICAL LENSES." Випробування та сертифікація, no. 1(7) (April 9, 2025): 58–66. https://doi.org/10.37701/ts.07.2025.07.

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The use of a Luneberg lens allows you to significantly increase the effective scattering surface of unmanned aerial vehicles, thus simulating more significant targets. This effect is achieved by smoothly decreasing the dielectric constant from the center of the lens to its edge. It is quite difficult to manufacture a classic Luneberg lens with a continuous law of change of the dielectric constant (refractive index) along its radius. In practice, to ensure a decrease in the dielectric constant of a spherical Luneberg lens as its radius increases, they switch to a stepwise approximation of the l

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Cao, Yang, Hongfei Yu, and Meng Yu. "Moving Object Detection based on Reverse Projection Error Model." Journal of Physics: Conference Series 2289, no. 1 (2022): 012025. http://dx.doi.org/10.1088/1742-6596/2289/1/012025.

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Abstract A novel moving feature point detection method is proposed in this paper in order to solve the problems in existing methods. Firstly, the coordinates of feature points are normalized by using spherical coordinates in order to solve the imaging distortion of the fish-eye camera. Secondly, based on the spherical normalization coordinates of feature points the reverse projection error model of the fish-eye camera is deduced and a moving feature point’s discriminant is derived to improve the detection integrity of moving object. Finally, according to the law of object motion, the detected

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Biryukov, S. V. "Two-component spherical dual-type electric field strength sensor." Omsk Scientific Bulletin, no. 193 (2025): 98–106. https://doi.org/10.25206/1813-8225-2025-193-98-106.

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Simple and easy-to-use modern sensors are required to monitor the levels of electric field strength around high-voltage power equipment, power lines, substations. These sensors ensure safety and labour protection of power equipment maintenance personnel. Therefore, the development of electric field strength sensors is an important and urgent task. The article proposes one of the possible options for constructing such sensors. The sensor is a two-component spherical dual-type element. Twelve biangular spherical conductive electrodes are placed in isolation on the spherical conductive surface of

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Pu, Peng Cheng, Xiao Song Guo, Zhao Fa Zhou, and Kun Ming Wang. "Research on the Method of Incline Degree Automatic Detection and Dynamic Compensation of Photoelectric Theodolite." Applied Mechanics and Materials 151 (January 2012): 203–6. http://dx.doi.org/10.4028/www.scientific.net/amm.151.203.

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The method of incline degree automatic detection and dynamic compensation is proposed to eliminate the influence by vertical axis slop error. The vertical axis slop error compensation model is founded based on spherical triangle principle after analyzing the affect law to angle measuring by vertical axis slop error. The affect law to measuring angle of photoelectric theodolite by vertical axis slop error in the situation that the three axises are nonorthogonal is analysed according to shafting error model based on coordinate transformation, which indicate that the influence to measuring angle

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Li, Rui Hu, Shi Nuo, Yue Ding Yuan, and Yue Jin Yuan. "Experimental Research on Thermoplastic Forming of Spherical Vessel." Advanced Materials Research 482-484 (February 2012): 2157–60. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.2157.

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It is a dieless forming technology to shape spherical vessels with thermoplastic forming. It involves heating a closed shell to the thermoplastic state, and then forming the spherical shape of a container by using gas to exert pressure. This paper researched thermoplastic forming of spherical vessels by attempting to form a soccer-ball shaped closed shell with a roundness error less than 0.15% using a heating temperature of 850°C and a pressure of 0.6MPa . The experiment showed that thermoplastic forming of spherical vessel is feasible.

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Yang, Qianyun, Kai Ouyang, Long Yang, Rao Fu, and Penghao Hu. "A Novel Combined Method for Measuring the Three-Dimensional Rotational Angle of a Spherical Joint." Sensors 24, no. 1 (2023): 90. http://dx.doi.org/10.3390/s24010090.

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To improve the measurement accuracy of the three-dimensional rotation angle of a spherical joint, a novel approach is proposed in this study, which combines magnetic detection by a Hall sensor and surface feature identification by an eddy current sensor. Firstly, a permanent magnet is embedded in the ball head of a spherical joint, and Hall sensors are set and distributed in the ball socket to measure the variation in the magnetic flux density when the spherical joint rotates, which are related to the 3D rotation angle. In order to further improve the measurement accuracy and robustness, we al

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Dao, Viet Hung, Tien Lap Do, Xuan Bien Duong, Trung Thanh Nguyen, Manh Tung Do, and Van Toan Nguyen. "Research on the influence of cutting parameters and optimization of spherical surface form error in ultra-precision turning using Box-Behnken and Genetic Algorithm." Journal of Military Science and Technology 104 (June 25, 2025): 192–200. https://doi.org/10.54939/1859-1043.j.mst.104.2025.192-200.

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Ultra-precision diamond turning is a crucial method in manufacturing optical components and precision mechanical parts, especially for machining spherical surfaces. However, the form error of the machined surface is influenced by various factors such as spindle speed, depth of cut and feed rate. This study analyzes the effects of cutting parameters on form error when machining spherical surfaces on an ultra-precision lathe. Fifteen experiments were conducted with machining parameters, including spindle speed, feed rate, and depth of cut, within the recommended range of the lathe. A form error

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Tanaka, Hisataka, Masahiko Sato, Hiroshi Yoshida, Satoki Ohta, and Susumu Okamura. "Study on Machining Error in Ball End Milling of Spherical Surface." Key Engineering Materials 407-408 (February 2009): 456–59. http://dx.doi.org/10.4028/www.scientific.net/kem.407-408.456.

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This paper presents the results of a series of experiments performed to examine the validity of a theoretical analysis for evaluation of machining error in ball end milling of spherical surface. In the analysis, the trochoidal paths of cutting edges are considered in the evaluation of chip geometry. The cutting forces are evaluated based on the theory of oblique cutting. The machining errors resulting from cutting force induced tool deflections are calculated at various parts of the machined surface. The experiments are carried out at various cutting conditions for convex spherical surface, an

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CHEN, ZHIXIANG, and FEILONG CAO. "APPROXIMATION BY SPHERICAL NEURAL NETWORKS WITH ZONAL FUNCTIONS." ANZIAM Journal 58, no. 3-4 (2017): 238–46. http://dx.doi.org/10.1017/s1446181117000104.

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We address the construction and approximation for feed-forward neural networks (FNNs) with zonal functions on the unit sphere. The filtered de la Vallée-Poussin operator and the spherical quadrature formula are used to construct the spherical FNNs. In particular, the upper and lower bounds of approximation errors by the FNNs are estimated, where the best polynomial approximation of a spherical function is used as a measure of approximation error.

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AGUIAR, LILIANA, CARLOS ANDRADE, MARCO BRANCO, RITA SANTOS-ROCHA, FILOMENA VIEIRA, and ANTÓNIO VELOSO. "GLOBAL OPTIMIZATION METHOD APPLIED TO THE KINEMATICS OF GAIT IN PREGNANT WOMEN." Journal of Mechanics in Medicine and Biology 16, no. 06 (2016): 1650084. http://dx.doi.org/10.1142/s0219519416500846.

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Morphological changes are associated to pregnancy, such as weight gain and increased volume of the trunk. The soft tissue artifact can also increase with these characteristics and affect the real joint kinematics. The main objective of this study was to understand the effect of using three different constraining sets in the lower limb joints, in the amount of soft tissue artifact (STA) of pregnant women, in order to obtain the most appropriated joint set to be used in gait and in this population. The ankle, knee and hip joints were modeled respectively with the following characteristics: (1) U

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