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Elastically deformable models

Authors:

Demetri Terzopoulos,

Kurt FleischerAuthors Info & Claims

SIGGRAPH '87: Proceedings of the 14th annual conference on Computer graphics and interactive techniques

Pages 205 - 214

https://doi.org/10.1145/37401.37427

Published: 01 August 1987 Publication History

Abstract

The theory of elasticity describes deformable materials such as rubber, cloth, paper, and flexible metals. We employ elasticity theory to construct differential equations that model the behavior of non-rigid curves, surfaces, and solids as a function of time. Elastically deformable models are active: they respond in a natural way to applied forces, constraints, ambient media, and impenetrable obstacles. The models are fundamentally dynamic and realistic animation is created by numerically solving their underlying differential equations. Thus, the description of shape and the description of motion are unified.

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Cited By

Jingwen RJunfei DHongwei L(2024)Simulation of cloth with thickness based on isogeometric continuum elastic modelJournal of Image and Graphics10.11834/jig.22119929:1(243-255)Online publication date: 2024
https://doi.org/10.11834/jig.221199
Zhang JJames DKaufman D(2024)Progressive Dynamics for Cloth and Shell AnimationACM Transactions on Graphics10.1145/365821443:4(1-18)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658214
Corman E(2024)Curvature-Driven Conformal DeformationsACM Transactions on Graphics10.1145/365814543:4(1-16)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658145
Show More Cited By

Index Terms

Elastically deformable models
1. Computing methodologies
  1. Artificial intelligence
    1. Computer vision
      1. Image and video acquisition
        3D imaging
  2. Computer graphics
    1. Animation
    2. Shape modeling
      1. Parametric curve and surface models
      2. Volumetric models
2. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Partial differential equations

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Information & Contributors

Information

Published In

cover image ACM Conferences

SIGGRAPH '87: Proceedings of the 14th annual conference on Computer graphics and interactive techniques

August 1987

352 pages

ISBN:0897912276

DOI:10.1145/37401

Editor:
Maureen C. Stone

ACM SIGGRAPH Computer Graphics Volume 21, Issue 4
July 1987
299 pages
ISSN:0097-8930
DOI:10.1145/37402
Editor:
Maureen C. Stone
Issue’s Table of Contents
Seminal Graphics Papers: Pushing the Boundaries, Volume 2
August 2023
893 pages
ISBN:9798400708978
DOI:10.1145/3596711
Editor:
Mary C. Whitton
Department of Computer Science, UNC Chapel Hill, USA

Copyright © 1987 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

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Published: 01 August 1987

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SIGGRAPH '87 Paper Acceptance Rate 33 of 140 submissions, 24%;

Overall Acceptance Rate 1,822 of 8,601 submissions, 21%

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Cited By

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https://doi.org/10.11834/jig.221199
Zhang JJames DKaufman D(2024)Progressive Dynamics for Cloth and Shell AnimationACM Transactions on Graphics10.1145/365821443:4(1-18)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658214
Corman E(2024)Curvature-Driven Conformal DeformationsACM Transactions on Graphics10.1145/365814543:4(1-16)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658145
Shen XCai RBi MLv T(2024)Preconditioned Nonlinear Conjugate Gradient Method for Real-time Interior-point HyperelasticityACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657490(1-11)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657490
Li XLi MHan XWang HYang YJiang C(2024)A Dynamic Duo of Finite Elements and Material PointsACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657449(1-11)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657449
Ren JSegall ASorkine-Hornung O(2024)Digital Three-dimensional Smocking DesignACM Transactions on Graphics10.1145/363194543:2(1-17)Online publication date: 3-Jan-2024
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Li PWang TKesdogan TCeylan DSorkine‐Hornung O(2024)Neural Garment Dynamics via Manifold‐Aware TransformersComputer Graphics Forum10.1111/cgf.1502843:2Online publication date: 30-Apr-2024
https://doi.org/10.1111/cgf.15028
Feng YShang YLi XShao TJiang CYang Y(2024)PIE-NeRF: Physics-Based Interactive Elastodynamics with NeRF2024 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)10.1109/CVPR52733.2024.00426(4450-4461)Online publication date: 16-Jun-2024
https://doi.org/10.1109/CVPR52733.2024.00426
Feng FXiong SKobayashi HZhou YTanaka MKawamoto ANomura TZhu B(2024)Nonlinear topology optimization on thin shells using a reduced-order elastic shell modelThin-Walled Structures10.1016/j.tws.2024.111566197(111566)Online publication date: Apr-2024
https://doi.org/10.1016/j.tws.2024.111566
Chen WSu JSong WXu JZhu GLi YJi YLiu C(2024)Quality evaluation methods of handwritten Chinese characters: a comprehensive surveyMultimedia Systems10.1007/s00530-024-01396-830:4Online publication date: 4-Jul-2024
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