Hierarchical Deformation of Locally Rigid Meshes
We propose a method for calculating deformations of models by deforming a low‐resolution mesh and adding details while ensuring that the details we add satisfy a set of constraints. Our method builds a low‐resolution representation of a mesh by using edge collapses and performs an as‐rigid‐as‐possib...
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| Vydané v: | Computer graphics forum Ročník 30; číslo 8; s. 2387 - 2396 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Oxford, UK
Blackwell Publishing Ltd
01.12.2011
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| ISSN: | 0167-7055, 1467-8659 |
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| Abstract | We propose a method for calculating deformations of models by deforming a low‐resolution mesh and adding details while ensuring that the details we add satisfy a set of constraints. Our method builds a low‐resolution representation of a mesh by using edge collapses and performs an as‐rigid‐as‐possible deformation on the simplified mesh. We then add back details by reversing edge‐collapses so that the shape of the mesh is locally preserved. While adding details, we deform the mesh to match the predicted positions of constraints so that constraints on the full‐resolution mesh are met. Our method operates on meshes with arbitrary triangulations, satisfies constraints over the full‐resolution mesh and converges quickly. |
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| AbstractList | We propose a method for calculating deformations of models by deforming a low‐resolution mesh and adding details while ensuring that the details we add satisfy a set of constraints. Our method builds a low‐resolution representation of a mesh by using edge collapses and performs an as‐rigid‐as‐possible deformation on the simplified mesh. We then add back details by reversing edge‐collapses so that the shape of the mesh is locally preserved. While adding details, we deform the mesh to match the predicted positions of constraints so that constraints on the full‐resolution mesh are met. Our method operates on meshes with arbitrary triangulations, satisfies constraints over the full‐resolution mesh and converges quickly. Abstract We propose a method for calculating deformations of models by deforming a low-resolution mesh and adding details while ensuring that the details we add satisfy a set of constraints. Our method builds a low-resolution representation of a mesh by using edge collapses and performs an as-rigid-as-possible deformation on the simplified mesh. We then add back details by reversing edge-collapses so that the shape of the mesh is locally preserved. While adding details, we deform the mesh to match the predicted positions of constraints so that constraints on the full-resolution mesh are met. Our method operates on meshes with arbitrary triangulations, satisfies constraints over the full-resolution mesh and converges quickly. [PUBLICATION ABSTRACT] |
| Author | Manson, Josiah Schaefer, Scott |
| Author_xml | – sequence: 1 givenname: Josiah surname: Manson fullname: Manson, Josiah organization: Texas A&M University, College Station, TX, USA josiahmanson@gmail.com, schaefer@cs.tamu.edu – sequence: 2 givenname: Scott surname: Schaefer fullname: Schaefer, Scott organization: Texas A&M University, College Station, TX, USA josiahmanson@gmail.com, schaefer@cs.tamu.edu |
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| Cites_doi | 10.1145/344779.344829 10.1109/TPAMI.1987.4767965 10.1145/1276377.1276479 10.1109/TVCG.2007.1054 10.1109/MCG.1982.1674489 10.1145/1141911.1141920 10.1145/1141911.1142001 10.1145/1276377.1276466 10.1145/1057432.1057456 10.1145/1073204.1073229 10.1145/1276377.1276457 10.1145/311535.311577 10.1145/1073204.1073217 10.1145/1276377.1276478 10.1145/15886.15903 10.1145/1186562.1015774 10.1111/j.1467-8659.2005.00885.x 10.1145/1276377.1276480 10.1145/1275808.1276491 10.1145/258734.258849 10.1145/280814.280831 10.1111/j.1467-8659.2009.01374.x |
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| References | Sumner R., Schmid J., Pauly M.: Embedded deformation for shape manipulation. ACM Transactions on Graphics 26, 3 (2007), 80:1-80:7. Lipman Y., Sorkine O., Levin D., Cohen-Or D.: Linear rotation-invariant coordinates for meshes. ACM Transactions on Graphics 24, 3 (2005), 479-487. Schaefer S., McPhail T., Warren J.: Image deformation using moving least squares. ACM Transactions on Graphics 25, 3 (2006), 533-540. Kilian M., Mitra N. J., Pottmann H.: Geometric modeling in shape space. ACM Transactions on Graphics (SIGGRAPH) 26, 3 (2007), 64:1-64:8. Botsch M., Sorkine O.: On linear variational surface deformation methods. IEEE Transactions on Visualization and Computer Graphics 14, 1 (2008), 213-230. 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), 81:1-81:9. Zeltzer D.: Motor control techniques for figure animation. IEEE Computer Graphics and Applications 2, 9 (1982), 53-59. Arun K. S., Huang T. S., Blostein S. D.: Least-squares fitting of two 3-d point sets. IEEE Transactions on Pattern Analysis and Machine Intelligence 9, 5 (1987), 698-700. Joshi P., Meyer M., DeRose T., Green B., Sanocki T.: Harmonic coordinates for character articulation. ACM Transactions on Graphics 26, 3 (2007),71:1-71:9. Landreneau E., Schaefer S.: Simplification of articulated meshes. Computer Graphics Forum 28, 2 (2009), 347-353. Zayer R., Rössl C., Karni Z., Seidel H.-P.: Harmonic guidance for surface deformation. Computer Graphics Forum 24, 3 (2005), 601-609. Sederberg T. W., Parry S. R.: Free-form deformation of solid geometric models. SIGGRAPH Computer Graphics 20, 4 (1986),151-160. 1987; 9 2000 1986; 20 1982; 2 2006; 25 2008; 14 1998 1997 2007 2007; 91 2006 2005 2007; 82 2004 2007; 26 2005; 24 1999 2009; 28 e_1_2_6_18_2 e_1_2_6_19_2 e_1_2_6_12_2 e_1_2_6_13_2 e_1_2_6_10_2 e_1_2_6_11_2 e_1_2_6_16_2 e_1_2_6_17_2 e_1_2_6_14_2 e_1_2_6_15_2 e_1_2_6_20_2 e_1_2_6_8_2 e_1_2_6_7_2 e_1_2_6_9_2 e_1_2_6_4_2 e_1_2_6_3_2 e_1_2_6_6_2 e_1_2_6_5_2 e_1_2_6_24_2 e_1_2_6_23_2 e_1_2_6_2_2 e_1_2_6_22_2 e_1_2_6_21_2 e_1_2_6_27_2 e_1_2_6_26_2 e_1_2_6_25_2 |
| References_xml | – reference: Joshi P., Meyer M., DeRose T., Green B., Sanocki T.: Harmonic coordinates for character articulation. ACM Transactions on Graphics 26, 3 (2007),71:1-71:9. – reference: Lipman Y., Sorkine O., Levin D., Cohen-Or D.: Linear rotation-invariant coordinates for meshes. ACM Transactions on Graphics 24, 3 (2005), 479-487. – reference: Kilian M., Mitra N. J., Pottmann H.: Geometric modeling in shape space. ACM Transactions on Graphics (SIGGRAPH) 26, 3 (2007), 64:1-64:8. – reference: Schaefer S., McPhail T., Warren J.: Image deformation using moving least squares. ACM Transactions on Graphics 25, 3 (2006), 533-540. – reference: Zayer R., Rössl C., Karni Z., Seidel H.-P.: Harmonic guidance for surface deformation. Computer Graphics Forum 24, 3 (2005), 601-609. – reference: Botsch M., Sorkine O.: On linear variational surface deformation methods. IEEE Transactions on Visualization and Computer Graphics 14, 1 (2008), 213-230. – reference: Landreneau E., Schaefer S.: Simplification of articulated meshes. Computer Graphics Forum 28, 2 (2009), 347-353. – reference: Sederberg T. W., Parry S. R.: Free-form deformation of solid geometric models. SIGGRAPH Computer Graphics 20, 4 (1986),151-160. – reference: Sumner R., Schmid J., Pauly M.: Embedded deformation for shape manipulation. ACM Transactions on Graphics 26, 3 (2007), 80:1-80:7. – reference: Zeltzer D.: Motor control techniques for figure animation. IEEE Computer Graphics and Applications 2, 9 (1982), 53-59. – reference: Arun K. S., Huang T. S., Blostein S. D.: Least-squares fitting of two 3-d point sets. IEEE Transactions on Pattern Analysis and Machine Intelligence 9, 5 (1987), 698-700. – 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), 81:1-81:9. – start-page: 11 year: 2006 end-page: 20 – start-page: 644 year: 2004 end-page: 651 – volume: 26 start-page: 1 issue: 3 year: 2007 end-page: 80 article-title: Embedded deformation for shape manipulation publication-title: ACM Transactions on Graphics – volume: 24 start-page: 479 issue: 3 year: 2005 end-page: 487 article-title: Linear rotation‐invariant coordinates for meshes publication-title: ACM Transactions on Graphics – start-page: 325 year: 1999 end-page: 334 – volume: 25 start-page: 533 issue: 3 year: 2006 end-page: 540 article-title: Image deformation using moving least squares publication-title: ACM Transactions on Graphics – start-page: 561 year: 2005 end-page: 566 – start-page: 209 year: 1997 end-page: 216 – start-page: 139 year: 2005 – start-page: 85 year: 2000 end-page: 94 – start-page: 105 year: 1998 end-page: 114 – volume: 28 start-page: 347 issue: 2 year: 2009 end-page: 353 article-title: Simplification of articulated meshes publication-title: Computer Graphics Forum – start-page: 175 year: 2004 end-page: 184 – start-page: 1108 year: 2006 end-page: 1117 – volume: 26 start-page: 1 issue: 3 year: 2007 end-page: 81 article-title: Mesh puppetry: Cascading optimization of mesh deformation with inverse kinematics publication-title: ACM Transactions on Graphics – volume: 2 start-page: 53 issue: 9 year: 1982 end-page: 59 article-title: Motor control techniques for figure animation publication-title: IEEE Computer Graphics and Applications – volume: 9 start-page: 698 issue: 5 year: 1987 end-page: 700 article-title: Least‐squares fitting of two 3‐d point sets publication-title: IEEE Transactions on Pattern Analysis and Machine Intelligence – volume: 82 start-page: 1 year: 2007 end-page: 82 – start-page: 357 year: 2006 end-page: 364 – volume: 24 start-page: 601 issue: 3 year: 2005 end-page: 609 article-title: Harmonic guidance for surface deformation publication-title: Computer Graphics Forum – volume: 26 start-page: 64:1 issue: 3 year: 2007 end-page: 64:8 article-title: Geometric modeling in shape space publication-title: ACM Transactions on Graphics (SIGGRAPH) – volume: 91 start-page: 1 year: 2007 end-page: 91 – start-page: 109 year: 2007 end-page: 116 – volume: 20 start-page: 151 issue: 4 year: 1986 end-page: 160 article-title: Free‐form deformation of solid geometric models publication-title: SIGGRAPH Computer Graphics – volume: 14 start-page: 213 issue: 1 year: 2008 end-page: 230 article-title: On linear variational surface deformation methods publication-title: IEEE Transactions on Visualization and Computer Graphics – volume: 26 start-page: 1 issue: 3 year: 2007 end-page: 71 article-title: Harmonic coordinates for character articulation publication-title: ACM Transactions on Graphics – ident: e_1_2_6_13_2 doi: 10.1145/344779.344829 – ident: e_1_2_6_2_2 – ident: e_1_2_6_3_2 doi: 10.1109/TPAMI.1987.4767965 – ident: e_1_2_6_23_2 doi: 10.1145/1276377.1276479 – ident: e_1_2_6_5_2 doi: 10.1109/TVCG.2007.1054 – ident: e_1_2_6_25_2 doi: 10.1109/MCG.1982.1674489 – ident: e_1_2_6_19_2 doi: 10.1145/1141911.1141920 – ident: e_1_2_6_22_2 doi: 10.1145/1141911.1142001 – ident: e_1_2_6_9_2 doi: 10.1145/1276377.1276466 – ident: e_1_2_6_18_2 doi: 10.1145/1057432.1057456 – ident: e_1_2_6_6_2 – ident: e_1_2_6_10_2 doi: 10.1145/1073204.1073229 – ident: e_1_2_6_12_2 doi: 10.1145/1276377.1276457 – ident: e_1_2_6_8_2 doi: 10.1145/311535.311577 – ident: e_1_2_6_15_2 doi: 10.1145/1073204.1073217 – ident: e_1_2_6_21_2 doi: 10.1145/1276377.1276478 – ident: e_1_2_6_20_2 doi: 10.1145/15886.15903 – ident: e_1_2_6_24_2 doi: 10.1145/1186562.1015774 – ident: e_1_2_6_27_2 doi: 10.1111/j.1467-8659.2005.00885.x – ident: e_1_2_6_16_2 doi: 10.1145/1276377.1276480 – ident: e_1_2_6_26_2 doi: 10.1145/1275808.1276491 – ident: e_1_2_6_7_2 doi: 10.1145/258734.258849 – ident: e_1_2_6_11_2 doi: 10.1145/280814.280831 – ident: e_1_2_6_4_2 – ident: e_1_2_6_14_2 doi: 10.1111/j.1467-8659.2009.01374.x – ident: e_1_2_6_17_2 |
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| Snippet | We propose a method for calculating deformations of models by deforming a low‐resolution mesh and adding details while ensuring that the details we add satisfy... Abstract We propose a method for calculating deformations of models by deforming a low-resolution mesh and adding details while ensuring that the details we... We propose a method for calculating deformations of models by deforming a low-resolution mesh and adding details while ensuring that the details we add satisfy... |
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| SubjectTerms | Analysis as-rigid-as-possible Computer graphics Construction Deformation Finite element method I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Boundary representations I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Hierarchy and Geometric Transformations Image processing systems Mathematical models mesh deformation multi-scale Representations Reversing Studies Triangulation |
| Title | Hierarchical Deformation of Locally Rigid Meshes |
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