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Journal articles on the topic 'Mesh parameterization'

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1

Mejia-Parra, Daniel, Jairo R. Sánchez, Jorge Posada, Oscar Ruiz-Salguero, and Carlos Cadavid. "Quasi-Isometric Mesh Parameterization Using Heat-Based Geodesics and Poisson Surface Fills." Mathematics 7, no. 8 (2019): 753. http://dx.doi.org/10.3390/math7080753.

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In the context of CAD, CAM, CAE, and reverse engineering, the problem of mesh parameterization is a central process. Mesh parameterization implies the computation of a bijective map ϕ from the original mesh M ∈ R 3 to the planar domain ϕ ( M ) ∈ R 2 . The mapping may preserve angles, areas, or distances. Distance-preserving parameterizations (i.e., isometries) are obviously attractive. However, geodesic-based isometries present limitations when the mesh has concave or disconnected boundary (i.e., holes). Recent advances in computing geodesic maps using the heat equation in 2-manifolds motivate
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2

Mejia, Daniel, Diego A. Acosta, and Oscar Ruiz-Salguero. "Weighted area/angle distortion minimization for Mesh Parameterization." Engineering Computations 34, no. 6 (2017): 1874–95. http://dx.doi.org/10.1108/ec-02-2016-0072.

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Purpose Mesh Parameterization is central to reverse engineering, tool path planning, etc. This work synthesizes parameterizations with un-constrained borders, overall minimum angle plus area distortion. This study aims to present an assessment of the sensitivity of the minimized distortion with respect to weighed area and angle distortions. Design/methodology/approach A Mesh Parameterization which does not constrain borders is implemented by performing: isometry maps for each triangle to the plane Z = 0; an affine transform within the plane Z = 0 to glue the triangles back together; and a Leve
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3

Gong, Wenyong, Xiaohua Xie, Rui Ma, and Tieru Wu. "Angle-Preserving Quadrilateral Mesh Parameterization." IEEE Computer Graphics and Applications 35, no. 6 (2015): 51–59. http://dx.doi.org/10.1109/mcg.2015.114.

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4

Hongwei, Lin, Wang Guojin, Liu Ligang, and Bao Hujun. "Parameterization for fitting triangular mesh." Progress in Natural Science 16, no. 11 (2006): 1214–21. http://dx.doi.org/10.1080/10020070612330132.

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5

Guskov, Igor. "An anisotropic mesh parameterization scheme." Engineering with Computers -1, no. 1 (2003): 1. http://dx.doi.org/10.1007/s00366-004-0284-4.

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6

Su, Kehua, Wei Chen, Na Lei, Li Cui, Jian Jiang, and Xianfeng David Gu. "Measure controllable volumetric mesh parameterization." Computer-Aided Design 78 (September 2016): 188–98. http://dx.doi.org/10.1016/j.cad.2016.04.007.

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7

Ejlali, Nastaran, and Seyed Mohammad Hosseini. "Adaptive control parameterization method by density functions for optimal control problems." IMA Journal of Mathematical Control and Information 37, no. 2 (2019): 497–512. http://dx.doi.org/10.1093/imamci/dnz010.

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Abstract This paper proposes an efficient adaptive control parameterization method for solving optimal control problems. In this method, mesh density functions are used to generate mesh points. In the first step, the problem is solved by control parameterization on uniform mesh points. Then at each step, the approximate control obtained from the previous step is applied to construct a mesh density function, and consequently a new adapted set of mesh points. Several numerical examples are included to demonstrate that the adaptive control parameterization method is more accurate than a uniform c
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8

YOSHIZAWA, SHIN, ALEXANDER BELYAEV, and HANS-PETER SEIDEL. "A MOVING MESH APPROACH TO STRETCH-MINIMIZING MESH PARAMETERIZATION." International Journal of Shape Modeling 11, no. 01 (2005): 25–42. http://dx.doi.org/10.1142/s0218654305000712.

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9

Seroussi, H., M. Morlighem, E. Larour, E. Rignot, and A. Khazendar. "Hydrostatic grounding line parameterization in ice sheet models." Cryosphere Discussions 8, no. 3 (2014): 3335–65. http://dx.doi.org/10.5194/tcd-8-3335-2014.

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Abstract. Modeling of grounding line migration is essential to simulate accurately the behavior of marine ice sheets and investigate their stability. Here, we assess the sensitivity of numerical models to the parameterization of the grounding line position. We run the MISMIP3D benchmark experiments using a two-dimensional shelfy-stream approximation (SSA) model with different mesh resolutions and different sub-element parameterizations of grounding line position. Results show that different grounding line parameterizations lead to different steady state grounding line positions as well as diff
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10

Pang, Mingyong, Alexei Sourin, and Zhigeng Pan. "Constructing Subdivision Connectivity Mesh via PDE Parameterization." International Journal of Virtual Reality 9, no. 4 (2010): 13–19. http://dx.doi.org/10.20870/ijvr.2010.9.4.2786.

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In this paper we present a novel algorithm for constructing subdivision connectivity mesh from dense original mesh. Our algorithm begins from a coarse base mesh generated from the original mesh and then the original mesh is divided into a set of patches guided by the base mesh. The patches are subsequently parameterized onto a planar domain by the mean value coordinates method. For each mesh patch, four boundary condition curves are calculated via the parameterization for local PDE patch construction. Considering the boundary curves as shape control boundary curve conditions, a PDE patch can b
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11

Qian, Jiang, Xiu-zi Ye, Cui-hao Fang, and San-yuan Zhang. "Mesh parameterization based on edge collapse." Journal of Zhejiang University-SCIENCE A 10, no. 8 (2009): 1153–59. http://dx.doi.org/10.1631/jzus.a0820428.

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12

Sheffer, Alla, Emil Praun, and Kenneth Rose. "Mesh Parameterization Methods and Their Applications." Foundations and Trends® in Computer Graphics and Vision 2, no. 2 (2006): 105–71. http://dx.doi.org/10.1561/0600000011.

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13

Ye, Ming. "Surface mesh parameterization with natural boundary." Chinese Journal of Mechanical Engineering (English Edition) 16, no. 03 (2003): 264. http://dx.doi.org/10.3901/cjme.2003.03.264.

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14

Lee, Yunjin, Hyoung Seok Kim, and Seungyong Lee. "Mesh parameterization with a virtual boundary." Computers & Graphics 26, no. 5 (2002): 677–86. http://dx.doi.org/10.1016/s0097-8493(02)00123-1.

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15

Claici, S., M. Bessmeltsev, S. Schaefer, and J. Solomon. "Isometry-Aware Preconditioning for Mesh Parameterization." Computer Graphics Forum 36, no. 5 (2017): 37–47. http://dx.doi.org/10.1111/cgf.13243.

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16

Wang, Yimin, and Jianmin Zheng. "Tubular triangular mesh parameterization and applications." Computer Animation and Virtual Worlds 21, no. 2 (2010): 91–102. http://dx.doi.org/10.1002/cav.325.

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17

Ruiz, Oscar E., Daniel Mejia, and Carlos A. Cadavid. "Triangular mesh parameterization with trimmed surfaces." International Journal on Interactive Design and Manufacturing (IJIDeM) 9, no. 4 (2015): 303–16. http://dx.doi.org/10.1007/s12008-015-0276-1.

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18

Li, Li, David Zhang, Zhigeng Pan, Jiaoying Shi, Kun Zhou, and Kai Ye. "Watermarking 3D mesh by spherical parameterization." Computers & Graphics 28, no. 6 (2004): 981–89. http://dx.doi.org/10.1016/j.cag.2004.08.002.

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19

Seroussi, H., M. Morlighem, E. Larour, E. Rignot, and A. Khazendar. "Hydrostatic grounding line parameterization in ice sheet models." Cryosphere 8, no. 6 (2014): 2075–87. http://dx.doi.org/10.5194/tc-8-2075-2014.

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Abstract. Modeling of grounding line migration is essential to accurately simulate the behavior of marine ice sheets and investigate their stability. Here, we assess the sensitivity of numerical models to the parameterization of the grounding line position. We run the MISMIP3D benchmark experiments using the Ice Sheet System Model (ISSM) and a two-dimensional shelfy-stream approximation (SSA) model with different mesh resolutions and different sub-element parameterizations of grounding line position. Results show that different grounding line parameterizations lead to different steady state gr
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20

Steiner, D., and A. Fischer. "Planar Parameterization for Closed Manifold Genus-g Meshes Using Any Type of Positive Weights." Journal of Computing and Information Science in Engineering 5, no. 2 (2005): 118–25. http://dx.doi.org/10.1115/1.1884132.

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Parameterization of 3D meshes is important for many graphic and CAD applications, in particular for texture mapping, remeshing, and morphing. Current parameterization methods for closed manifold genus-g meshes usually involve cutting the mesh according to the object generators, adjusting the resulting boundary and then determining the 2D parameterization coordinates of the mesh vertices, such that the flattened triangles are not too distorted and do not overlap. Unfortunately, adjusting the boundary distorts the resulting parameterization, especially near the boundary. To overcome this problem
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21

Liu, Ligang, Lei Zhang, Yin Xu, Craig Gotsman, and Steven J. Gortler. "A Local/Global Approach to Mesh Parameterization." Computer Graphics Forum 27, no. 5 (2008): 1495–504. http://dx.doi.org/10.1111/j.1467-8659.2008.01290.x.

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22

Duan, Liming, Xueqing Luo, Lang Ruan, and Minghui Gu. "Novel method of boundary-free mesh parameterization." PLOS ONE 14, no. 6 (2019): e0217537. http://dx.doi.org/10.1371/journal.pone.0217537.

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23

Pietroni, Nico, Marco Tarini, and Paolo Cignoni. "Almost Isometric Mesh Parameterization through Abstract Domains." IEEE Transactions on Visualization and Computer Graphics 16, no. 4 (2010): 621–35. http://dx.doi.org/10.1109/tvcg.2009.96.

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24

Fan, Zhengwen, Xiaogang Jin, Jieqing Feng, and Hanqiu Sun. "Mesh morphing using polycube-based cross-parameterization." Computer Animation and Virtual Worlds 16, no. 3-4 (2005): 499–508. http://dx.doi.org/10.1002/cav.92.

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25

Herholz, Philipp, and Olga Sorkine-Hornung. "Sparse cholesky updates for interactive mesh parameterization." ACM Transactions on Graphics 39, no. 6 (2020): 1–14. http://dx.doi.org/10.1145/3414685.3417828.

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26

Zhang, Lei, Ligang Liu, Craig Gotsman, and Hua Huang. "Mesh reconstruction by meshless denoising and parameterization." Computers & Graphics 34, no. 3 (2010): 198–208. http://dx.doi.org/10.1016/j.cag.2010.03.006.

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27

Zhao, Hui, Xuan Li, Huabin Ge, et al. "Conformal mesh parameterization using discrete Calabi flow." Computer Aided Geometric Design 63 (July 2018): 96–108. http://dx.doi.org/10.1016/j.cagd.2018.03.001.

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28

Cartade, Colin, Christian Mercat, Rémy Malgouyres, and Chafik Samir. "Mesh Parameterization with Generalized Discrete Conformal Maps." Journal of Mathematical Imaging and Vision 46, no. 1 (2012): 1–11. http://dx.doi.org/10.1007/s10851-012-0362-y.

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29

Kim, Jun-Ho, and Yun-Jin Lee. "Volume Mesh Parameterization for Topological Solid Sphere Models." Journal of the Korea Contents Association 10, no. 4 (2010): 106–14. http://dx.doi.org/10.5392/jkca.2010.10.4.106.

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30

Gao, Xifeng, Zhigang Deng, and Guoning Chen. "Hexahedral mesh re-parameterization from aligned base-complex." ACM Transactions on Graphics 34, no. 4 (2015): 1–10. http://dx.doi.org/10.1145/2766941.

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31

Park, Jaesik, Sudipta N. Sinha, Yasuyuki Matsushita, Yu-Wing Tai, and In So Kweon. "Robust Multiview Photometric Stereo Using Planar Mesh Parameterization." IEEE Transactions on Pattern Analysis and Machine Intelligence 39, no. 8 (2017): 1591–604. http://dx.doi.org/10.1109/tpami.2016.2608944.

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32

Li, Baojun, Xiangkui Zhang, Ping Zhou, and Ping Hu. "Mesh parameterization based on one-step inverse forming." Computer-Aided Design 42, no. 7 (2010): 633–40. http://dx.doi.org/10.1016/j.cad.2010.04.003.

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33

Mazur, Andrzej, and Grzegorz Duniec. "Influence of Parameterization of Some Physical Processes in Soils on Numerical Meteorological Forecasts of Surface Fields." Miscellanea Geographica 20, no. 4 (2016): 48–58. http://dx.doi.org/10.1515/mgrsd-2016-0023.

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Abstract Physical processes in soil-plant-water system are very complicated. Complex physical processes in soil, in particular interaction between soil-plant-water system have significant influence on processes in Planetary Boundary Layer. Changes of soil state can significantly modify processes in the PBL and meteorological fields. Since numerical models are to determine the forecast of high quality, the physical processes occurring in soil should be properly described and then appropriately introduced into a model. Every process in soil occurs on a smaller scale than original model’s domain,
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34

BAI, XIAOLIANG, and SHUSHENG ZHANG. "HIERARCHICAL PARAMETERIZATION OF TRIANGULAR MESH WITH A BOUNDARY POLYGON TRIANGULATION." International Journal of Image and Graphics 10, no. 03 (2010): 449–66. http://dx.doi.org/10.1142/s0219467810003858.

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Parameterizing a 3D triangular mesh is the process of finding an isomorphic planar mesh. It is widely used in graphics, as it is required, for instance, for surface fitting, texture mapping and re-meshing. In this paper, we present a new 3D approach to triangular mesh parameterization, which includes three steps: (1) construct a boundary polygon triangulation by mesh simplification; (2) parameterize the boundary polygon triangulation by first smoothing and then flattening it; (3) parameterize the interior vertices by parameterizing the vertex-split-cells one by one while refining the boundary
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35

Lei, Baozhen, Harald Löwe, and Xunwei Wang. "Applications of the Exponential Function of the Euclidean Motion Group to the Theory of Gearing." Advances in Mechanical Engineering 6 (January 1, 2014): 869580. http://dx.doi.org/10.1155/2014/869580.

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The present paper provides a first step to a new approach to the theory of gearing, which uses modern differential geometry in order to ensure a strict and coordinate-independent formulation. Here, we are mainly concerned with a basic equation, namely, the equation of meshing, of two rotating surfaces in mesh. Since we are able to solve this equation by the time parameter, we derive parameterizations of the mating pinion from a bevel gear as well as a parameterization for gears produced by special machine tools.
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36

Zeller, Christian, Binu Surendran, and Micheal F. Zaeh. "Parameterized Extended Finite Element Method for high thermal gradients." Journal of Computational Design and Engineering 5, no. 3 (2017): 329–36. http://dx.doi.org/10.1016/j.jcde.2017.12.001.

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Abstract The Finite Element Method results in inaccuracies for temperature changes at the boundary if the mesh is too coarse in comparison with the applied time step. Oscillations occur as the adjacent elements balance the excessive energy of the boundary element. An Extended Finite Element Method (XFEM) with extrinsic enrichment of the boundary element by a parameterized problem-specific ansatz function is presented. The method is able to represent high thermal gradients at the boundary with a coarse mesh as the enrichment function compensates for the excessive energy at the element affected
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37

Chen, Cailing, Kehua Su, and Xinyan Zhu. "Topological Disk Mesh Morphing Based on Area-Preserving Parameterization." Wuhan University Journal of Natural Sciences 23, no. 3 (2018): 201–9. http://dx.doi.org/10.1007/s11859-018-1311-4.

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38

Su, Kehua, Wei Chen, Na Lei, Junwei Zhang, Kun Qian, and Xianfeng Gu. "Volume preserving mesh parameterization based on optimal mass transportation." Computer-Aided Design 82 (January 2017): 42–56. http://dx.doi.org/10.1016/j.cad.2016.05.020.

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39

Su, Hua, Chunlin Gong, and Liangxian Gu. "Three-Dimensional CST Parameterization Method Applied in Aircraft Aeroelastic Analysis." International Journal of Aerospace Engineering 2017 (2017): 1–15. http://dx.doi.org/10.1155/2017/1874729.

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Class/shape transformation (CST) method has advantages of adjustable design variables and powerful parametric geometric shape design ability and has been widely used in aerodynamic design and optimization processes. Three-dimensional CST is an extension for complex aircraft and can generate diverse three-dimensional aircraft and the corresponding mesh automatically and quickly. This paper proposes a parametric structural modeling method based on gridding feature extraction from the aerodynamic mesh generated by the three-dimensional CST method. This novel method can create parametric structura
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40

Deacu, Daniel, Vincent Fortin, Erika Klyszejko, Christopher Spence, and Peter D. Blanken. "Predicting the Net Basin Supply to the Great Lakes with a Hydrometeorological Model." Journal of Hydrometeorology 13, no. 6 (2012): 1739–59. http://dx.doi.org/10.1175/jhm-d-11-0151.1.

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Abstract The paper presents the incremental improvement of the prediction of the Great Lakes net basin supply (NBS) with the hydrometeorological model Modélisation Environmentale–Surface et Hydrologie (MESH) by increasing the accuracy of the simulated NBS components (overlake precipitation, lake evaporation, and runoff into the lake). This was achieved through a series of experiments with MESH and its parent numerical weather prediction model [the Canadian Global Environmental Multiscale model in its regional configuration (GEM Regional)]. With forcing extracted from operational GEM Regional f
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41

Xin Zhou, Xun Wang, and Dingjun Huang. "Robust 3D Mesh Watermarking Based on Planar Parameterization and DCT." Journal of Convergence Information Technology 7, no. 13 (2012): 472–79. http://dx.doi.org/10.4156/jcit.vol7.issue13.55.

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42

Hicken, Jason E., and David W. Zingg. "Aerodynamic Optimization Algorithm with Integrated Geometry Parameterization and Mesh Movement." AIAA Journal 48, no. 2 (2010): 400–413. http://dx.doi.org/10.2514/1.44033.

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43

DATE, Hiroaki, Satoshi KANAI, and Takeshi KISHINAMI. "Triangular Mesh Modeling of Surface-detail-integrated Shape using Parameterization." Journal of the Japan Society for Precision Engineering 69, no. 4 (2003): 581–85. http://dx.doi.org/10.2493/jjspe.69.581.

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44

Fei, Jian fang, Ming Zhang, Hancheng Lu, and Guoxiang Yang. "A fine—Mesh numerical model with detailed boundary layer parameterization." Advances in Atmospheric Sciences 9, no. 4 (1992): 465–76. http://dx.doi.org/10.1007/bf02677079.

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45

Lee, Tong-Yee, Chih-Yuan Yao, Hung-Kuo Chu, Ming-Jen Tai, and Cheng-Chieh Chen. "Generating genus-n-to-m mesh morphing using spherical parameterization." Computer Animation and Virtual Worlds 17, no. 3-4 (2006): 433–43. http://dx.doi.org/10.1002/cav.146.

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46

Liu, Yimin, and Louis J. Durlofsky. "Multilevel Strategies and Geological Parameterizations for History Matching Complex Reservoir Models." SPE Journal 25, no. 01 (2019): 081–104. http://dx.doi.org/10.2118/193895-pa.

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Summary In this study, we explore using multilevel derivative-free optimization (DFO) for history matching, with model properties described using principal-component-analysis (PCA) -based parameterization techniques. The parameterizations applied in this work are optimization-based PCA (O-PCA) and convolutional-neural-network (CNN) -based PCA (CNN-PCA). The latter, which derives from recent developments in deep learning, is able to accurately represent models characterized by multipoint spatial statistics. Mesh adaptive direct search (MADS), a pattern-search method that parallelizes naturally,
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47

Vorsatz ,, J., Ch Ro¨ssl , and, and H. P. Seidel. "Dynamic Remeshing and Applications." Journal of Computing and Information Science in Engineering 3, no. 4 (2003): 338–44. http://dx.doi.org/10.1115/1.1631021.

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Triangle meshes are a flexible and generally accepted boundary representation for complex geometric shapes. In addition to their geometric qualities or topological simplicity, intrinsic qualities such as the shape of the triangles, their distribution on the surface and the connectivity are essential for many algorithms working on them. In this paper we present a flexible and efficient remeshing framework that improves these intrinsic properties while keeping the mesh geometrically close to the original surface. We use a particle system approach and combine it with an incremental connectivity o
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48

Wang, Zhao, Zhong-xuan Luo, Jie-lin Zhang, and Emil Saucan. "ARAP++: an extension of the local/global approach to mesh parameterization." Frontiers of Information Technology & Electronic Engineering 17, no. 6 (2016): 501–15. http://dx.doi.org/10.1631/fitee.1500184.

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49

Liu, Chengming, Zhongxuan Luo, Xiquan Shi, Fengshan Liu, and Xiaonan Luo. "A fast mesh parameterization algorithm based on 4-point interpolatory subdivision." Applied Mathematics and Computation 219, no. 10 (2013): 5339–44. http://dx.doi.org/10.1016/j.amc.2012.11.043.

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50

Zhu, Xue-Feng, and Ping Hu. "Mesh parameterization based on inverse finite element method: theory and application." Inverse Problems in Science and Engineering 21, no. 7 (2013): 1169–82. http://dx.doi.org/10.1080/17415977.2012.743539.

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