Relevant bibliographies by topics / Discrete frenet frame

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Discrete frenet frame'

Author: Grafiati
Published: 4 June 2021
Last updated: 2 February 2022

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Journal articles on the topic "Discrete frenet frame"

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LI, GUIQING, XIANMIN LI, and HUA LI. "DISCRETE CLOTHOID SPLINE SURFACES ON OPEN MESHES." International Journal of Image and Graphics 01, no. 04 (2001): 575–89. http://dx.doi.org/10.1142/s0219467801000384.

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By introducing a discrete Frenet frame, this paper first proposes 3D discrete clothoid splines to extend the planar discrete clothoid splines of Schneider and Kobbelt. On the basis of 3D discrete clothoid spline curves, discrete clothoid spline surfaces for arbitrary meshes are defined as a generalization of their closed discrete clothoid spline surfaces. Moreover, a discrete mean curvature normal operator instead of the conic surface fitting method is employed to compute curvature values. This induces a new iteration algorithm for generating the discrete clothoid spline surfaces. Since the cu
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Abazari, Nemat, Martin Bohner, Ilgin Sağer, Alireza Sedaghatdoost, and Yusuf Yayli. "A natural Frenet frame for null curves on the lightlike cone in Minkowski space $\mathbb{R} ^{4}_{2}$." Journal of Inequalities and Applications 2020, no. 1 (2020). http://dx.doi.org/10.1186/s13660-020-02500-y.

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Abstract In this paper, we investigate the representation of curves on the lightlike cone $\mathbb {Q}^{3}_{2}$ Q 2 3 in Minkowski space $\mathbb {R}^{4}_{2}$ R 2 4 by structure functions. In addition, with this representation, we classify all of the null curves on the lightlike cone $\mathbb {Q}^{3}_{2}$ Q 2 3 in four types, and we obtain a natural Frenet frame for these null curves. Furthermore, for this natural Frenet frame, we calculate curvature functions of a null curve, especially the curvature function $\kappa _{2}=0$ κ 2 = 0 , and we show that any null curve on the lightlike cone is a
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Hu, Shuangwei, Martin Lundgren, and Antti J. Niemi. "Discrete Frenet frame, inflection point solitons, and curve visualization with applications to folded proteins." Physical Review E 83, no. 6 (2011). http://dx.doi.org/10.1103/physreve.83.061908.

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Ioannidou, Theodora, and Antti J. Niemi. "Relation between discrete Frenet frames and the bi-Hamiltonian structure of the discrete nonlinear Schrödinger equation." Physical Review D 95, no. 8 (2017). http://dx.doi.org/10.1103/physrevd.95.085003.

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Melnikov, Dmitry, Antti J. Niemi, and Ara Sedrakyan. "Topological Indices of Proteins." Scientific Reports 9, no. 1 (2019). http://dx.doi.org/10.1038/s41598-019-50809-6.

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Abstract Protein molecules can be approximated by discrete polygonal chains of amino acids. Standard topological tools can be applied to the smoothening of the polygons to introduce a topological classification of folded states of proteins, for example, using the self-linking number of the corresponding framed curves. In this paper we extend this classification to the discrete version, taking advantage of the “randomness” of such curves. Known definitions of the self-linking number apply to non-singular framings: for example, the Frenet framing cannot be used if the curve has inflection points
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Dissertations / Theses on the topic "Discrete frenet frame"

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Neiss, Daniel. "An Investigation of RNA using the Discrete Frenet Frame." Thesis, Uppsala universitet, Teoretisk fysik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-257615.

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A brief explanation of RNA and its general structure on dierent levels is given. The standard continuous Frenet frame is explained. A discrete version of the Frenet frame is explained in detail and constructed for a piecewise linear curve. The results of the application of the discrete Frenet frame to RNA is shown in the form of several distributions. An analysis of these distributions is conducted and gives some results regarding tiny structures in RNA.<br><p>Master Degree Project thesis</p>
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Lundgren, Martin. "Bending, Twisting and Turning : Protein Modeling and Visualization from a Gauge-Invariance Viewpoint." Doctoral thesis, Uppsala universitet, Teoretisk fysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-172358.

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Proteins in nature fold to one dominant native structure. Despite being a heavily studied field, predicting the native structure from the amino acid sequence and modeling the folding process can still be considered unsolved problems. In this thesis I present a new approach to this problem with methods borrowed from theoretical physics. In the first part I show how it is possible to use a discrete Frenet frame to define the discrete curvature and torsion of the main chain of the protein. This method is then extended to the side chains as well. In particular I show how to use the discrete Frenet
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Conference papers on the topic "Discrete frenet frame"

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Ma, Ming, Jeom Kee Paik, and Tobin McNatt. "Hierarchically Decomposed Multi-Level Optimization for Ship Structural Design." In ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/omae2016-54452.

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As the demand for modern ships grows to meet greater reliability, fuel efficiency, and economy, the interest in reducing structural weight while enhancing safety has also increased. Ship structural optimization is usually a mixed discrete-continuous design problem constrained by buckling and material strength, and involves the optimization of a large number of variables such as (continuous/discrete) plate thickness, scantlings of stiffeners and frames, and the (discrete) number of stiffeners and frames. Further complication arises when the structure is constrained by buckling and strength unde
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Wasfy, Tamer M. "Finite Element Modeling of Coupled Flexible Multibody Dynamics and Liquid Sloshing." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99243.

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A time-accurate finite element model for simulating the fully-coupled dynamic response of flexible multibody systems and liquid sloshing in tanks is presented. The semi-discrete combined solid and fluid equations of motions are integrated using a time-accurate parallel explicit solver. The FE model consists of: hexahedral, beam, and truss solid elements; rigid bodies; joints; actuators; hexahedral incompressible fluid elements; and quadrilateral fluid-solid interface elements. The fluid mesh is modeled using a very light and compliant solid mesh which allows the fluid mesh to move/deform along
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Lau, Y. L., R. M. C. So, Y. Liu, and R. C. K. Leung. "Validation of a Two-Dimensional Numerical Model for Vortex/Blade Interaction." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32223.

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The numerical method developed previously to analyze two-dimensional vortex-blade interaction problems is validated using recently measured vortex-induced blade vibration data. It assumed a vortex lattice method to calculate the flow field assuming a distribution of sources and discrete vortices on the blade surfaces and a free wake model for the wake flow. A discrete vortex tracking technique in Lagrangian frame is used to track the path of the vortices. The blade is modeled as elastic structures with two-degree-of-freedom in plunging and pitching direction. The fully coupled fluid-structure
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Clauss, Gu¨nther F. "Task-Related Rogue Waves Embedded in Extreme Seas." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28459.

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This paper describes a new technique for the generation of tailored design wave sequences in extreme seas which are simulated under laboratory conditions. The wave field is fitted to predetermined global and local target characteristics defined in terms of significant wave height, peak period as well as wave height, crest height, and period of individual waves. The generation procedure is based on two steps: Firstly, a linear approximation of the desired wave train is computed by a Sequential Quadratic Programming (SQP) method which optimises an initially random phase spectrum for a given vari
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Ray, Saurya Ranjan, Ravikanth Avancha, Sriram Shankaran, and Lyle Dailey. "Modeling Surface Variation and Assessment of its Impact on Aerodynamic Performance in Turbomachinery Applications." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64213.

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Analyzing the impact of manufacturing variability on the performance of turbomachinery components supports two critical dimensions in the product life cycle. It provides a technological process to decide on the criterion of acceptability of the deviated manufactured component based on the performance assessment and secondly, provides sensitivity of the geometrical variation to the component performance to build a robust design space. Currently, non-deterministic methods based on probability distribution function of the design parameters are used to assess the impact of variability, and the out
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Chien, Min-Hsiu, Nesrin Ozalp, and Gerald Morrison. "CFD and Heat Transfer Analysis of Vortex Formation in a Solar Reactor." In ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting collocated with the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/fedsm2014-22012.

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A hydrogen producing solar reactor was experimentally tested to study the cyclone flow dynamics of the gas-particle two-phase phenomenon. Two dimensional PIV (particle image velocimetry) was used to observe the flow and to quantify the vortex formation inside the solar reactor. The vortex flow structure in the reactor was reconstructed by capturing images from orientations perpendicular and parallel to the geometrical axis of the reactor respectively. The experimental results showed that the tangential components of the fluid velocity formed a Rankine-vortex profile. The free vortex portions o
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