ISSN 0253-2778

CN 34-1054/N

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Open AccessOpen Access JUSTC Original Paper

Adaptive tearing of crumpled thin sheets

  • School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2016.11.003
  • Received Date: 20 January 2015
  • Accepted Date: 10 May 2015
  • Rev Recd Date: 10 May 2015
  • Publish Date: 30 November 2016
    Abstract

  • Abstract

    Tearing paper is commonly seen in our daily life. Simulating this effect is an important application of thin sheet deformation. Existing approaches only research the cracking effect on normal flat paper. Our work aims at physically simulating tearing papers that have been crumpled by external forces. To achieve this effect, the crumpling tensor field was used as a guidance to grow the cracking paths using external force in an iterative manner. In each step, a physical measurement field defined over the planar domain of paper was updated. A triangular mesh representing the paper was dynamically restructured. Experiments show that the proposed approach generates realistic paper tearing effect with randomly shaped cracking path and physically-plausible cracking details.

    Abstract

    Tearing paper is commonly seen in our daily life. Simulating this effect is an important application of thin sheet deformation. Existing approaches only research the cracking effect on normal flat paper. Our work aims at physically simulating tearing papers that have been crumpled by external forces. To achieve this effect, the crumpling tensor field was used as a guidance to grow the cracking paths using external force in an iterative manner. In each step, a physical measurement field defined over the planar domain of paper was updated. A triangular mesh representing the paper was dynamically restructured. Experiments show that the proposed approach generates realistic paper tearing effect with randomly shaped cracking path and physically-plausible cracking details.
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    • References(15)
  • [1]
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    [2]
    BOTSCH M, SORKINE O. On linear variational surface deformation methods[J]. IEEE Transactions on Visualization and Computer Graphics, 2008, 14(1): 213-230.
    [3]
    PFAFF T, NARAIN R, DE JOYA J M, et al. Adaptive tearing and cracking of thin sheets[J]. ACM Transactions on Graphics (TOG), 2014, 33(4): 110.
    [4]
    GRINSPUN E, HIRANI A N, DESBRUN M, et al. Discrete shells[C]// Proceedings of the 2003 ACM SIGGRAPH/ Eurographics symposium on Computer animation. Switzerland: Eurographics Association, 2003: 62-67.
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    KONG Chuan, LUO Dayong. Research of cloth simulation using mass-spring and implicit method[J]. Computer Engineering and Applications, 2011, 47(9): 225-227.
    [6]
    BARGTEIL A W, WOJTAN C, HODGINS J K, et al. A finite element method for animating large viscoplastic flow[J]. ACM Transactions on Graphics (TOG), 2007, 26(3): 16.
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    WICKE M, RITCHIE D, KLINGNER B M, et al. Dynamic local remeshing for elastoplastic simulation[J]. ACM Transactions on Graphics (TOG), 2010, 29(4): 49.
    [8]
    NARAIN R, PFAFF T, OBRIEN J F. Folding and crumpling adaptive sheets[J]. ACM Transactions on Graphics (TOG), 2013, 32(4): 51.
    [9]
    ANDO R, THREY N, WOJTAN C. Highly adaptive liquid simulations on tetrahedral meshes[J]. ACM Transactions on Graphics (TOG), 2013, 32(4): 103.
    [10]
    CLAUSEN P, WICKE M, SHEWCHUK J R, et al. Simulating liquids and solid-liquid interactions with lagrangian meshes[J]. ACM Transactions on Graphics (TOG), 2013, 32(2): 17.
    [11]
    NARAIN R, SAMII A, OBRIEN J F. Adaptive anisotropic remeshing for cloth simulation[J]. ACM Transactions on Graphics (TOG), 2012, 31(6): 152.
    [12]
    BUSARYEV O, DEY T K, WANG H. Adaptive fracture simulation of multi-layered thin plates[J]. ACM Transactions on Graphics (TOG), 2013, 32(4): 52.
    [13]
    TERZOPOULOS D, FLEISCHER K. Modeling inelastic deformation: viscolelasticity, plasticity, fracture[C]// ACM Siggraph Computer Graphics. ACM, 1988, 22(4): 269-278.
    [14]
    OBRIEN J F, HODGINS J K. Graphical modeling and animation of brittle fracture[C]// Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Techniques. New York: ACM Press/Addison-Wesley Publishing Co, 1999: 137-146.
    [15]
    GINGOLD Y, SECORD A, HAN J Y, et al. A discrete model for inelastic deformation of thin shells[C]// ACM SIGGRAPH/ Eurographics Symposium on Computer Animation. Grenoble, France: Eurographics Association, 2004.
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    [1]
    YUMER M E, KARA L B. Co-constrained handles for deformation in shape collections[J]. ACM Transactions on Graphics (TOG), 2014, 33(6): 187.
    [2]
    BOTSCH M, SORKINE O. On linear variational surface deformation methods[J]. IEEE Transactions on Visualization and Computer Graphics, 2008, 14(1): 213-230.
    [3]
    PFAFF T, NARAIN R, DE JOYA J M, et al. Adaptive tearing and cracking of thin sheets[J]. ACM Transactions on Graphics (TOG), 2014, 33(4): 110.
    [4]
    GRINSPUN E, HIRANI A N, DESBRUN M, et al. Discrete shells[C]// Proceedings of the 2003 ACM SIGGRAPH/ Eurographics symposium on Computer animation. Switzerland: Eurographics Association, 2003: 62-67.
    [5]
    孔川, 罗大庸. 利用弹簧质点模型和隐式方法的布料模拟研究[J]. 计算机工程与应用, 2011, 47(9): 225-227.
    KONG Chuan, LUO Dayong. Research of cloth simulation using mass-spring and implicit method[J]. Computer Engineering and Applications, 2011, 47(9): 225-227.
    [6]
    BARGTEIL A W, WOJTAN C, HODGINS J K, et al. A finite element method for animating large viscoplastic flow[J]. ACM Transactions on Graphics (TOG), 2007, 26(3): 16.
    [7]
    WICKE M, RITCHIE D, KLINGNER B M, et al. Dynamic local remeshing for elastoplastic simulation[J]. ACM Transactions on Graphics (TOG), 2010, 29(4): 49.
    [8]
    NARAIN R, PFAFF T, OBRIEN J F. Folding and crumpling adaptive sheets[J]. ACM Transactions on Graphics (TOG), 2013, 32(4): 51.
    [9]
    ANDO R, THREY N, WOJTAN C. Highly adaptive liquid simulations on tetrahedral meshes[J]. ACM Transactions on Graphics (TOG), 2013, 32(4): 103.
    [10]
    CLAUSEN P, WICKE M, SHEWCHUK J R, et al. Simulating liquids and solid-liquid interactions with lagrangian meshes[J]. ACM Transactions on Graphics (TOG), 2013, 32(2): 17.
    [11]
    NARAIN R, SAMII A, OBRIEN J F. Adaptive anisotropic remeshing for cloth simulation[J]. ACM Transactions on Graphics (TOG), 2012, 31(6): 152.
    [12]
    BUSARYEV O, DEY T K, WANG H. Adaptive fracture simulation of multi-layered thin plates[J]. ACM Transactions on Graphics (TOG), 2013, 32(4): 52.
    [13]
    TERZOPOULOS D, FLEISCHER K. Modeling inelastic deformation: viscolelasticity, plasticity, fracture[C]// ACM Siggraph Computer Graphics. ACM, 1988, 22(4): 269-278.
    [14]
    OBRIEN J F, HODGINS J K. Graphical modeling and animation of brittle fracture[C]// Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Techniques. New York: ACM Press/Addison-Wesley Publishing Co, 1999: 137-146.
    [15]
    GINGOLD Y, SECORD A, HAN J Y, et al. A discrete model for inelastic deformation of thin shells[C]// ACM SIGGRAPH/ Eurographics Symposium on Computer Animation. Grenoble, France: Eurographics Association, 2004.
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