Soft Folding
We introduce soft folding, a new interactive method for designing and exploring thin‐plate forms. A user specifies sharp and soft folds as two‐dimensional(2D) curves on a flat sheet, along with the fold magnitude and sharpness of each. Then, based on the soft folds, the system computes the three‐dim...
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| Vydáno v: | Computer graphics forum Ročník 32; číslo 7; s. 167 - 176 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Oxford
Blackwell Publishing Ltd
01.10.2013
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| ISSN: | 0167-7055, 1467-8659 |
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| Abstract | We introduce soft folding, a new interactive method for designing and exploring thin‐plate forms. A user specifies sharp and soft folds as two‐dimensional(2D) curves on a flat sheet, along with the fold magnitude and sharpness of each. Then, based on the soft folds, the system computes the three‐dimensional(3D) folded shape. Internally, the system first computes a fold field, which defines local folding operations on a flat sheet. A fold field is a generalization of a discrete fold graph in origami, replacing a graph with sharp folds with a continuous field with soft folds. Next, local patches are folded independently according to the fold field. Finally, a globally folded 3D shape is obtained by assembling the locally folded patches. This algorithm computes an approximation of 3D developable surfaces with user‐defined soft folds at an interactive speed. The user can later apply nonlinear physical simulation to generate more realistic results. Experimental results demonstrated that soft folding is effective for producing complex folded shapes with controllable sharpness. |
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| AbstractList | We introduce soft folding, a new interactive method for designing and exploring thin‐plate forms. A user specifies sharp and soft folds as two‐dimensional(2D) curves on a flat sheet, along with the fold magnitude and sharpness of each. Then, based on the soft folds, the system computes the three‐dimensional(3D) folded shape. Internally, the system first computes a fold field, which defines local folding operations on a flat sheet. A fold field is a generalization of a discrete fold graph in origami, replacing a graph with sharp folds with a continuous field with soft folds. Next, local patches are folded independently according to the fold field. Finally, a globally folded 3D shape is obtained by assembling the locally folded patches. This algorithm computes an approximation of 3D developable surfaces with user‐defined soft folds at an interactive speed. The user can later apply nonlinear physical simulation to generate more realistic results. Experimental results demonstrated that soft folding is effective for producing complex folded shapes with controllable sharpness. We introduce soft folding, a new interactive method for designing and exploring thin-plate forms. A user specifies sharp and soft folds as two-dimensional(2D) curves on a flat sheet, along with the fold magnitude and sharpness of each. Then, based on the soft folds, the system computes the three-dimensional(3D) folded shape. Internally, the system first computes a fold field, which defines local folding operations on a flat sheet. A fold field is a generalization of a discrete fold graph in origami, replacing a graph with sharp folds with a continuous field with soft folds. Next, local patches are folded independently according to the fold field. Finally, a globally folded 3D shape is obtained by assembling the locally folded patches. This algorithm computes an approximation of 3D developable surfaces with user-defined soft folds at an interactive speed. The user can later apply nonlinear physical simulation to generate more realistic results. Experimental results demonstrated that soft folding is effective for producing complex folded shapes with controllable sharpness. [PUBLICATION ABSTRACT] |
| Author | Igarashi, T. Mitani, J. Zhu, L. |
| Author_xml | – sequence: 1 givenname: L. surname: Zhu fullname: Zhu, L. organization: The University of Tokyo – sequence: 2 givenname: T. surname: Igarashi fullname: Igarashi, T. organization: The University of Tokyo – sequence: 3 givenname: J. surname: Mitani fullname: Mitani, J. organization: University of Tsukuba |
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| Cites_doi | 10.1145/1882261.1866183 10.1111/j.1467-8659.2011.01966.x 10.1145/1185657.1185659 10.1111/j.1467-8659.2007.01059.x 10.1109/TVCG.2007.1054 10.1111/j.1467-8659.2009.01395.x 10.1111/j.1467-8659.2007.01047.x 10.1017/CBO9780511735172 10.1145/1778765.1778847 10.1145/2077355 10.1145/2185520.2185582 10.1145/1073204.1073216 10.1111/j.1467-8659.2006.00982.x 10.1145/1360612.1360674 10.1145/2461912.2462010 10.1145/1073204.1073229 10.1145/1360612.1360665 10.1145/2185520.2185605 10.1111/j.1467-8659.2009.01600.x 10.1016/0167-8396(94)00031-M 10.1145/1281500.1281532 10.1145/1186822.1073217 10.1145/1015706.1015772 10.1111/j.1467-8659.2012.03162.x 10.1145/1141911.1141941 10.1016/j.cad.2007.06.001 |
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| References | [UIM12] Umetani N., Igarashi T., Mitra N. J.: Guided exploration of physically valid shapes for furniture design. ACM Trans. Graph. 31, 4 (July 2012), 86:1-86:11. 2. [EB08] English E., Bridson R.: Animating developable surfaces using nonconforming elements. ACM Trans. Graph. 27, 3 (Aug. 2008), 66:1-66:5. 2,3. [DO07] Demaine E. D., O'Rourke J.: Geometric Folding Algorithms: Linkages, Origami, Polyhedra. Cambridge Univ. Press, 2007. 2, 3. [NPO13] Narain R., Pfaff T., O'Brien J. F.: Folding and crumpling adaptive sheets. ACM Transactions on Graphics 32, 4 (July 2013). Proceedings of ACM SIGGRAPH 2013, Anaheim. 3, 9. [PF95] Pottmann H., Farin G. E.: Developable rational bézier and b-spline surfaces. Computer Aided Geometric Design 12, 5 (1995), 513-531. 2. [MZ12] Myles A., Zorin D.: Global parametrization by incremental flattening. ACM Trans. Graph. 31, 4 (July 2012), 109:1-109:11. 7. [BS08] Botsch M., Sorkine O.: On linear variational surface deformation methods. IEEE Transactions on Visualization and Computer Graphics 14, 1 (Jan. 2008), 213-230. 2. [BW08] Bo P., Wang W.: Geodesic-controlled developable surfaces for modeling paper bending. Comput. Graph. Forum 26 (2008), 365-374. 2. [KFC*08] Kilian M., Flöry S., Chen Z., Mitra N. J., Sheffer A., Pottmann H.: Curved folding. ACM Trans. Graph. 27, 3 (Aug. 2008), 75:1-75:9. 1, 2, 8. [Wan08] Wang C. C. L.: Towards flattenable mesh surfaces. Comput. Aided Des. 40, 1 (2008), 109-122. 2. [JSW05] Ju T., Schaefer S., Warren J.: Mean value coordinates for closed triangular meshes. ACM Trans. Graph. 24, 3 (July 2005), 561-566. 2. [LPW*06] Liu Y., Pottmann H., Wallner J., Yang Y.-L., Wang W.: Geometric modeling with conical meshes and developable surfaces. ACM Trans. Graph. (SIGGRAPH) 25 (2006), 681-689. 2. [DC76] Do Carmo M.: Differential Geometry of Curves and Surfaces. Prentice-Hall, 1976. 2. [AJC11] Andrews J., Joshi P., Carr N.: A linear variational system for modeling from curves. Computer Graphics Forum 30, 6 (2011), 1850-1861. Presented at SGP 2012. 3, 6. [CPS11] Crane K., Pinkall U., Schröder P.: Spin transformations of discrete surfaces. ACM Trans. Graph. 40 (2011). 3. [EP09] Eigensatz M., Pauly M.: Positional, metric, and curvature control for constraint-based surface deformation. Computer Graphics Forum 28, 2 (2009), 551-558. 3. [IM10] Igarashi T., Mitani J.: Apparent layer operations for the manipulation of deformable objects. ACM Trans. Graph. 29, 4 (July 2010), 110:1-110:7. 2. [RPC*10] Rohmer D., Popa T., Cani M.-P., Hahmann S., Sheffer A.: Animation wrinkling: augmenting coarse cloth simulations with realistic-looking wrinkles. ACM Trans. Graph. 29, 6 (Dec. 2010), 157:1-157:8. 3. [MHTG05] Müller M., Heidelberger B., Teschner M., Gross M.: Meshless deformations based on shape matching. ACM Trans. Graph. 24, 3 (July 2005), 471-478. 2, 5, 6. [YBS07] Yoshizawa S., Belyaev A. G., Seidel H.-P.: Skeleton-based variational mesh deformations. Computer Graphics Forum 26, 3 (2007), 255-264. EUROGRAPHICS'07. 2. [WDAH10] Winkler T., Drieseberg J., Alexa M., Hormann K.: Multi-scale geometry interpolation. Computer Graphics Forum 29, 2 (May 2010), 309-318. 3. [SVWG12] Solomon J., Vouga E., Wardetzky M., Grinspun E.: Flexible developable surfaces. Comp. Graph. Forum 31, 5 (Aug. 2012), 1567-1576. 2, 8. [BK04] Botsch M., Kobbelt L.: An intuitive framework for real-time freeform modeling. ACM Trans. Graph. 23, 3 (Aug. 2004), 630-634. 1, 2. [BSG12] Barbič J., Sin F., Grinspun E.: Interactive editing of deformable simulations. ACM Trans. on Graphics (SIGGRAPH 2012) 31, 4 (2012). 1. July 2010; 29 July 2012; 31 2011 2010 1995; 12 2011; 40 1976 2011; 30 July 2013; 32 2007 2006 July 2005; 24 2005; 2005 2012; 31 2009; 28 Aug. 2012; 31 Jan. 2008; 14 Dec. 2010; 29 2000 Aug. 2008; 27 2006; 25 2008; 26 Aug. 2004; 23 sep 2006 2008; 40 May 2010; 29 2007; 26 e_1_2_7_6_1 e_1_2_7_4_1 e_1_2_7_3_1 e_1_2_7_7_1 e_1_2_7_19_1 e_1_2_7_18_1 e_1_2_7_17_1 e_1_2_7_16_1 e_1_2_7_2_1 e_1_2_7_14_1 e_1_2_7_13_1 e_1_2_7_12_1 e_1_2_7_11_1 e_1_2_7_10_1 e_1_2_7_27_1 e_1_2_7_28_1 e_1_2_7_29_1 Narain R. (e_1_2_7_24_1) 2013; 32 Pottmann H. (e_1_2_7_26_1) 2010 Lipman Y. (e_1_2_7_21_1) 2005 Igarashi T. (e_1_2_7_15_1) 2010; 29 Do Carmo M. (e_1_2_7_9_1) 1976 e_1_2_7_30_1 e_1_2_7_25_1 e_1_2_7_31_1 e_1_2_7_32_1 e_1_2_7_23_1 e_1_2_7_33_1 e_1_2_7_22_1 e_1_2_7_34_1 e_1_2_7_35_1 e_1_2_7_20_1 e_1_2_7_36_1 Crane K. (e_1_2_7_8_1) 2011; 40 Barbič J. (e_1_2_7_5_1) 2012; 31 |
| References_xml | – reference: [CPS11] Crane K., Pinkall U., Schröder P.: Spin transformations of discrete surfaces. ACM Trans. Graph. 40 (2011). 3. – reference: [SVWG12] Solomon J., Vouga E., Wardetzky M., Grinspun E.: Flexible developable surfaces. Comp. Graph. Forum 31, 5 (Aug. 2012), 1567-1576. 2, 8. – reference: [JSW05] Ju T., Schaefer S., Warren J.: Mean value coordinates for closed triangular meshes. ACM Trans. Graph. 24, 3 (July 2005), 561-566. 2. – reference: [PF95] Pottmann H., Farin G. E.: Developable rational bézier and b-spline surfaces. Computer Aided Geometric Design 12, 5 (1995), 513-531. 2. – reference: [DO07] Demaine E. D., O'Rourke J.: Geometric Folding Algorithms: Linkages, Origami, Polyhedra. Cambridge Univ. Press, 2007. 2, 3. – reference: [BSG12] Barbič J., Sin F., Grinspun E.: Interactive editing of deformable simulations. ACM Trans. on Graphics (SIGGRAPH 2012) 31, 4 (2012). 1. – reference: [BS08] Botsch M., Sorkine O.: On linear variational surface deformation methods. IEEE Transactions on Visualization and Computer Graphics 14, 1 (Jan. 2008), 213-230. 2. – reference: [DC76] Do Carmo M.: Differential Geometry of Curves and Surfaces. Prentice-Hall, 1976. 2. – reference: [EB08] English E., Bridson R.: Animating developable surfaces using nonconforming elements. ACM Trans. Graph. 27, 3 (Aug. 2008), 66:1-66:5. 2,3. – reference: [WDAH10] Winkler T., Drieseberg J., Alexa M., Hormann K.: Multi-scale geometry interpolation. Computer Graphics Forum 29, 2 (May 2010), 309-318. 3. – reference: [MZ12] Myles A., Zorin D.: Global parametrization by incremental flattening. ACM Trans. Graph. 31, 4 (July 2012), 109:1-109:11. 7. – reference: [RPC*10] Rohmer D., Popa T., Cani M.-P., Hahmann S., Sheffer A.: Animation wrinkling: augmenting coarse cloth simulations with realistic-looking wrinkles. ACM Trans. Graph. 29, 6 (Dec. 2010), 157:1-157:8. 3. – reference: [Wan08] Wang C. C. L.: Towards flattenable mesh surfaces. Comput. Aided Des. 40, 1 (2008), 109-122. 2. – reference: [AJC11] Andrews J., Joshi P., Carr N.: A linear variational system for modeling from curves. Computer Graphics Forum 30, 6 (2011), 1850-1861. Presented at SGP 2012. 3, 6. – reference: [NPO13] Narain R., Pfaff T., O'Brien J. F.: Folding and crumpling adaptive sheets. ACM Transactions on Graphics 32, 4 (July 2013). Proceedings of ACM SIGGRAPH 2013, Anaheim. 3, 9. – reference: [BK04] Botsch M., Kobbelt L.: An intuitive framework for real-time freeform modeling. ACM Trans. Graph. 23, 3 (Aug. 2004), 630-634. 1, 2. – reference: [IM10] Igarashi T., Mitani J.: Apparent layer operations for the manipulation of deformable objects. ACM Trans. Graph. 29, 4 (July 2010), 110:1-110:7. 2. – reference: [BW08] Bo P., Wang W.: Geodesic-controlled developable surfaces for modeling paper bending. Comput. Graph. Forum 26 (2008), 365-374. 2. – reference: [KFC*08] Kilian M., Flöry S., Chen Z., Mitra N. J., Sheffer A., Pottmann H.: Curved folding. ACM Trans. Graph. 27, 3 (Aug. 2008), 75:1-75:9. 1, 2, 8. – reference: [LPW*06] Liu Y., Pottmann H., Wallner J., Yang Y.-L., Wang W.: Geometric modeling with conical meshes and developable surfaces. ACM Trans. Graph. (SIGGRAPH) 25 (2006), 681-689. 2. – reference: [EP09] Eigensatz M., Pauly M.: Positional, metric, and curvature control for constraint-based surface deformation. Computer Graphics Forum 28, 2 (2009), 551-558. 3. – reference: [UIM12] Umetani N., Igarashi T., Mitra N. J.: Guided exploration of physically valid shapes for furniture design. ACM Trans. Graph. 31, 4 (July 2012), 86:1-86:11. 2. – reference: [YBS07] Yoshizawa S., Belyaev A. G., Seidel H.-P.: Skeleton-based variational mesh deformations. Computer Graphics Forum 26, 3 (2007), 255-264. EUROGRAPHICS'07. 2. – reference: [MHTG05] Müller M., Heidelberger B., Teschner M., Gross M.: Meshless deformations based on shape matching. ACM Trans. Graph. 24, 3 (July 2005), 471-478. 2, 5, 6. – volume: 29 start-page: 309 issue: 2 year: May 2010 end-page: 318 article-title: Multi‐scale geometry interpolation publication-title: Computer Graphics Forum – volume: 27 start-page: 75:1 issue: 3 year: Aug. 2008 end-page: 75:9 article-title: Curved folding publication-title: ACM Trans. Graph. – volume: 23 start-page: 630 issue: 3 year: Aug. 2004 end-page: 634 article-title: An intuitive framework for real‐time freeform modeling publication-title: ACM Trans. Graph. – volume: 27 start-page: 66:1 issue: 3 year: Aug. 2008 end-page: 66:5 article-title: Animating developable surfaces using nonconforming elements publication-title: ACM Trans. Graph. – year: 2007 – start-page: 180 year: 2006 end-page: 187 – year: 2000 – volume: 26 start-page: 255 issue: 3 year: 2007 end-page: 264 article-title: Skeleton‐based variational mesh deformations publication-title: Computer Graphics Forum – start-page: 124:1 year: 2011 end-page: 124:12 – volume: 29 start-page: 110:1 issue: 4 year: July 2010 end-page: 110:7 article-title: Apparent layer operations for the manipulation of deformable objects publication-title: ACM Trans. Graph. – volume: 32 issue: 4 year: July 2013 article-title: Folding and crumpling adaptive sheets publication-title: ACM Transactions on Graphics – volume: 28 start-page: 551 issue: 2 year: 2009 end-page: 558 article-title: Positional, metric, and curvature control for constraint‐based surface deformation publication-title: Computer Graphics Forum – volume: 12 start-page: 513 issue: 5 year: 1995 end-page: 531 article-title: Developable rational bézier and b‐spline surfaces publication-title: Computer Aided Geometric Design – volume: 24 start-page: 561 issue: 3 year: July 2005 end-page: 566 article-title: Mean value coordinates for closed triangular meshes publication-title: ACM Trans. Graph. – volume: 26 start-page: 365 year: 2008 end-page: 374 article-title: Geodesic‐controlled developable surfaces for modeling paper bending publication-title: Comput. Graph. Forum – volume: 2005 start-page: 479 year: 2005 end-page: 487 – volume: 31 issue: 4 year: 2012 article-title: Interactive editing of deformable simulations publication-title: ACM Trans. on Graphics (SIGGRAPH 2012) – volume: 29 start-page: 157:1 issue: 6 year: Dec. 2010 end-page: 157:8 article-title: Animation wrinkling: augmenting coarse cloth simulations with realistic‐looking wrinkles publication-title: ACM Trans. Graph. – volume: 14 start-page: 213 issue: 1 year: Jan. 2008 end-page: 230 article-title: On linear variational surface deformation methods publication-title: IEEE Transactions on Visualization and Computer Graphics – year: 2006 – volume: 25 start-page: 681 year: 2006 end-page: 689 article-title: Geometric modeling with conical meshes and developable surfaces publication-title: ACM Trans. Graph. 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| Snippet | We introduce soft folding, a new interactive method for designing and exploring thin‐plate forms. A user specifies sharp and soft folds as two‐dimensional(2D)... We introduce soft folding, a new interactive method for designing and exploring thin-plate forms. A user specifies sharp and soft folds as two-dimensional(2D)... |
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| SubjectTerms | and systems Approximation Computer Graphics [I.3.5]: Computational Geometry and Object Modeling-Geometric algorithms Computer Graphics [I.3.5]: Computational Geometry and Object Modeling—Geometric algorithms, languages, and systems Computer Graphics [I.3.6]: Methodology and Techniques-Interaction Techniques languages |
| Title | Soft Folding |
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