Shape Decomposition using Modal Analysis

We introduce a novel algorithm that decomposes a deformable shape into meaningful parts requiring only a single input pose. Using modal analysis, we are able to identify parts of the shape that tend to move rigidly. We define a deformation energy on the shape, enabling modal analysis to find the typ...

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Vydáno v:	Computer graphics forum Ročník 28; číslo 2; s. 407 - 416
Hlavní autoři:	Huang, Qi-Xing, Wicke, Martin, Adams, Bart, Guibas, Leonidas
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Oxford, UK Blackwell Publishing Ltd 01.04.2009
Témata:	Algorithms and Systems-Computational Geometry and Object Modeling [I.3.5]: Physically-Based Modeling-Simulation and Modeling [I.6.5]: Model Development Computational Geometry and Object Modeling [I.3.5]: Geometric Algorithms Computational Geometry and Object Modeling [I.3.5]: Geometric Algorithms, Languages, and Systems—Computational Geometry and Object Modeling [I.3.5]: Physically‐Based Modeling—Simulation and Modeling [I.6.5]: Model Development Computer graphics Decomposition Energy Languages Studies
ISSN:	0167-7055, 1467-8659
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Abstract	We introduce a novel algorithm that decomposes a deformable shape into meaningful parts requiring only a single input pose. Using modal analysis, we are able to identify parts of the shape that tend to move rigidly. We define a deformation energy on the shape, enabling modal analysis to find the typical deformations of the shape. We then find a decomposition of the shape such that the typical deformations can be well approximated with deformation fields that are rigid in each part of the decomposition. We optimize for the best decomposition, which captures how the shape deforms. A hierarchical refinement scheme makes it possible to compute more detailed decompositions for some parts of the shape. Although our algorithm does not require user intervention, it is possible to control the process by directly changing the deformation energy, or interactively refining the decomposition as necessary. Due to the construction of the energy function and the properties of modal analysis, the computed decompositions are robust to changes in pose as well as meshing, noise, and even imperfections such as small holes in the surface.
AbstractList	We introduce a novel algorithm that decomposes a deformable shape into meaningful parts requiring only a single input pose. Using modal analysis, we are able to identify parts of the shape that tend to move rigidly. We define a deformation energy on the shape, enabling modal analysis to find the typical deformations of the shape. We then find a decomposition of the shape such that the typical deformations can be well approximated with deformation fields that are rigid in each part of the decomposition. We optimize for the best decomposition, which captures how the shape deforms. A hierarchical refinement scheme makes it possible to compute more detailed decompositions for some parts of the shape. Although our algorithm does not require user intervention, it is possible to control the process by directly changing the deformation energy, or interactively refining the decomposition as necessary. Due to the construction of the energy function and the properties of modal analysis, the computed decompositions are robust to changes in pose as well as meshing, noise, and even imperfections such as small holes in the surface. We introduce a novel algorithm that decomposes a deformable shape into meaningful parts requiring only a single input pose. Using modal analysis, we are able to identify parts of the shape that tend to move rigidly. We define a deformation energy on the shape, enabling modal analysis to find the typical deformations of the shape. We then find a decomposition of the shape such that the typical deformations can be well approximated with deformation fields that are rigid in each part of the decomposition. We optimize for the best decomposition, which captures how the shape deforms. A hierarchical refinement scheme makes it possible to compute more detailed decompositions for some parts of the shape. Although our algorithm does not require user intervention, it is possible to control the process by directly changing the deformation energy, or interactively refining the decomposition as necessary. Due to the construction of the energy function and the properties of modal analysis, the computed decompositions are robust to changes in pose as well as meshing, noise, and even imperfections such as small holes in the surface. [PUBLICATION ABSTRACT] We introduce a novel algorithm that decomposes a deformable shape into meaningful parts requiring only a single input pose. Using modal analysis, we are able to identify parts of the shape that tend to move rigidly. We define a deformation energy on the shape, enabling modal analysis to find the typical deformations of the shape. We then find a decomposition of the shape such that the typical deformations can be well approximated with deformation fields that are rigid in each part of the decomposition. We optimize for the best decomposition, which captures how the shape deforms. A hierarchical refinement scheme makes it possible to compute more detailed decompositions for some parts of the shape. Although our algorithm does not require user intervention, it is possible to control the process by directly changing the deformation energy, or interactively refining the decomposition as necessary. Due to the construction of the energy function and the properties of modal analysis, the computed decompositions are robust to changes in pose as well as meshing, noise, and even imperfections such as small holes in the surface.
Author	Wicke, Martin Huang, Qi-Xing Adams, Bart Guibas, Leonidas
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References_xml	– reference: Gal R., Cohen-Or D.: Salient geometric features for partial shape matching and similarity. ACM Transactions on Graphics 25, 1 (2006), 130-150. – reference: Au O. K.-C., Tai C.-L., Chu H.-K., Cohen-Or D., Lee T.-Y.: Skeleton Extraction by Mesh Contraction. ACM Transactions on Graphics 27, 3 (2008). – reference: Choi M. G., Ko H.-S.: Modal Warping: Real-Time Simulation of Large Rotational Deformation and Manipulation. IEEE Transactions on Visualization and Computer Graphics 11 (2005), 91-101. – reference: James D. L., Twigg C. D.: Skinning mesh animations. ACM Transactions on Graphics 24, 3 (2005), 399-407. – reference: Hofer M., Odehnal B., Pottmann H., Steiner T., Wallner J.: 3D shape recognition and reconstruction based on line element geometry. In IEEE International Conference on Computer Vision (2005), vol. 2, pp. 1532-1538. – reference: Funkhouser T., Kazhdan M., Shilane P., Min P., Kiefer W., Tal A., Rusinkiewicz S., Dobkin D.: Modeling by example. ACM Transactions on Graphics 23, 3 (2004), 652-663. – reference: Shapira L., Shamir A., Cohen-Or D.: Consistent mesh partitioning and skeletonisation using the shape diameter function. Visual Computer 24, 4 (2008), 249-259. – reference: Yan D.-M., Liu Y., Wang W.: Quadric Surface Extraction by Variational Shape Approximation. In Geometric Modeling and Processing (2006), pp. 73-86. – reference: Sclaroff S., Pentland A.: Modal Matching for Correspondence and Recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence 17, 6 (1995), 545-561. – reference: James D., Pai D.: DyRT: Dynamic Response Textures for Real Time Deformation Simulation With Graphics Hardware. ACM Transactions on Graphics 21, 3 (2002), 582-585. – reference: Shi X., Zhou K., Tong Y., Desbrun M., Bao H., Guo B.: Mesh puppetry: cascading optimization of mesh deformation with inverse kinematics. ACM Transactions on Graphics 26, 3 (2007), 81. – reference: Wu J., Kobbelt L.: Structure Recovery via Hybrid Variational Surface Approximation. Computer Graphics Forum 24, 3 (2005), 277-284. – reference: Katz S., Leifman G., Tal A.: Mesh Segmentation using Feature Point and Core Extraction. The Visual Computer (Pacific Graph.) 21, 8-10 (2005), 649-658. – reference: Kilian M., Mitra N. J., Pottmann H.: Geometric Modeling in Shape Space. ACM Transactions on Graphics 26, 3 (2007), 1-8. – reference: Barbič J., James D. L.: Real-Time subspace integration for St. Venant-Kirchhoff deformable models. ACM Transactions on Graphics 24, 3 (2005), 982-990. – reference: Baran I., Popović J.: Automatic rigging and animation of 3D characters. ACM Transactions on Graphics 26, 3 (2007), 72. – reference: Liu R., Zhang H.: Mesh Segmentation via Spectral Embedding and Contour Analysis. 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Snippet	We introduce a novel algorithm that decomposes a deformable shape into meaningful parts requiring only a single input pose. Using modal analysis, we are able...
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SubjectTerms	Algorithms and Systems-Computational Geometry and Object Modeling [I.3.5]: Physically-Based Modeling-Simulation and Modeling [I.6.5]: Model Development Computational Geometry and Object Modeling [I.3.5]: Geometric Algorithms Computational Geometry and Object Modeling [I.3.5]: Geometric Algorithms, Languages, and Systems—Computational Geometry and Object Modeling [I.3.5]: Physically‐Based Modeling—Simulation and Modeling [I.6.5]: Model Development Computer graphics Decomposition Energy Languages Studies
Title	Shape Decomposition using Modal Analysis
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