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In this study, we present the bicubic Hermite element method (BHEM), a new computational framework devised for the elastodynamic simulation of parametric thin-shell structures.
The generation of interelement compatible stiffness and mass matrices by the use of interpolation formulae
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Finite element stiffness matrices for analysis of plates in bending
Clough R., Tocher J · 1965
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A refined triangular plate bending finite element
Bell K · 1969
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Multiplier and gradient methods
Hestenes M. R · 1969
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Ray tracing parametric patches
Kajiya J. T · 1982
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Procedural Elements for Computer Graphics
Rogers D. F · 1984
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On ray tracing parametric surfaces
Toth D. L · 1985
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Elastically deformable models
Terzopoulos D., Platt J., Barr A., Fleischer K · 1987
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Ray Tracing Parametric Surfaces by Subdivision in Viewing Plane
Woodward C · 1989
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Ray tracing trimmed rational surface patches
Nishita T., Sederberg T. W., Kakimoto M · 1990
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Curve intersection using bézier clipping
Sederberg T., Nishita T · 1990
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Geometric collisions for time-dependent parametric surfaces
Von Herzen B., Barr A. H., Zatz H. R · 1990
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Efficient ray tracing for bezier and b-spline surfaces
Barth W., Stuerzlinger W · 1993
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Interval methods for multi-point collisions between time-dependent curved surfaces
Snyder J. M., Woodbury A. R., Fleischer K., Currin B., Barr A. H · 1993
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Solving systems of polynomial equations
Manocha D · 1994
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Isoparametric hermite elements
Petera J., Pittman J. F. T · 1994
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Vision - an architecture for global illumination calculations
Slusallek P., Seidel H.-P · 1995
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Efficient and accurate interference detection for polynomial deformation
Hughes M., DiMattia C., Lin M., Manocha D · 1996
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Ray tracing of spline surfaces: Bézier clipping, chebyshev boxing, and bounding volume hierarchy - a critical comparison with new results
Campagna S., Slusallek P., Seidel H · 1997
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Triangular nurbs and their dynamic generalizations
Qin H., Terzopoulos D · 1997
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Large steps in cloth simulation
Baraff D., Witkin A · 1998
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Rapid and accurate contact determination between spline models using shelltrees
Krishnan S., Gopi M., Lin M., Manocha D., Pattekar A · 1998
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On de casteljau’s algorithm
Boehm W., Müller A · 1999
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Theory of Shells , vol. 3 (Mathematical Elasticity)
Ciarlet P. G · 2000
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Practical ray tracing of trimmed nurbs surface
Martin W., Cohen E., Fish R., Shirley P · 2000
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Fully c1-conforming subdivision elements for finite deformation thin-shell analysis
Cirak F., Ortiz M · 2001
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Curves and Surfaces for CAGD: A Practical Guide , 5th ed
Farin G · 2001
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Robust treatment of collisions, contact and friction for cloth animation
Bridson R., Fedkiw R., Anderson J · 2002
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Stable but responsive cloth
Choi K.-J., Ko H.-S · 2002
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Simulation of clothing with folds and wrinkles
Bridson R., Marino S., Fedkiw R · 2003
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Geometry and physics of wrinkling
Cerda E., Mahadevan L · 2003
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Discrete shells
Grinspun E., Hirani A. N., Desbrun M., Schröder P · 2003
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A discrete model for inelastic deformation of thin shells
Gingold Y., Secord A., Han J. Y., Grinspun E., Zorin D · 2004
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Robust and numerically stable bézier clipping method for ray tracing nurbs surfaces
Efremov A., Havran V., Seidel H.-P · 2005
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Finite element based solutions of thin-shell problems with a small strain
Phusakulkajorn W · 2013
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Embedded thin shells for wrinkle simulation
Rémillard O., Kry P. G · 2013
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Multi-layer skin simulation with adaptive constraints
Li P., Kry P. G · 2014
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Dynamic cloth simulation by isogeometric analysis
Lu J., Zheng C · 2014
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Adaptive tearing and cracking of thin sheets
Pfaff T., Narain R., de Joya J. M., O’Brien J. F · 2014
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Surface Texturing Through Cylinder Buckling
Seffen K. A., Stott S. V · 2014
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Geimer M., Abert O · 2005
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Isogeometric analysis: Cad, finite elements, nurbs, exact geometry and mesh refinement
Hughes T., Cottrell J., Bazilevs Y · 2005
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The Finite Element Method for Solid and Structural Mechanics
O.C. Z., R.L. T., David F · 2005
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Curves and Surfaces for Computer Graphics
Salomon D · 2005
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Collision detection for deformable objects
Teschner M., Kimmerle S., Heidelberger B., Zachmann G., Raghupathi L., Fuhrmann A., Cani M.-P., Faure F., Magnenat-Thalmann N., Strasser W., Volino P · 2005
Cited alongside, same era.
Direct and fast ray tracing of nurbs surfaces
Abert O., Geimer M., Muller S · 2006
Cited alongside, same era.
Direct ray tracing of full-featured subdivision surfaces with bezier clipping
Tejima T., Fujita M., Matsuoka T · 2015
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Smoothed aggregation multigrid for cloth simulation
Tamstorf R., Jones T., McCormick S. F · 2015
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Modeling and data-driven parameter estimation for woven fabrics
Clyde D., Teran J., Tamstorf R · 2017
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Novel quadrilateral elements based on explicit hermite polynomials for bending of kirchhoff–love plates
Beheshti A · 2018
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Physical simulation of environmentally induced thin shell deformation
Chen H.-Y., Sastry A., van Rees W. M., Vouga E · 2018
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A material point method for thin shells with frictional contact
Guo Q., Han X., Fu C., Gast T., Tamstorf R., Teran J · 2018
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A quadrilateral g1-conforming finite element for the kirchhoff plate model
Greco L., Cuomo M., Contrafatto L · 2019
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Poly-spline finite-element method
Schneider T., Dumas J., Gao X., Botsch M., Panozzo D., Zorin D · 2019
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On the wrinkling and restabilization of highly stretched sheets
Wang T., Fu C., Xu F., Huo Y., Potier-Ferry M · 2019
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Fine wrinkling on coarsely meshed thin shells
Chen Z., Chen H.-Y., Kaufman D. M., Skouras M., Vouga E · 2021
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An implicit g1-conforming bi-cubic interpolation for the analysis of smooth and folded kirchhoff–love shell assemblies
Greco L., Cuomo M · 2021
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Sum-of-squares geometry processing
Marschner Z., Zhang P., Palmer D., Solomon J · 2021
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Physical validation of simulators in computer graphics: A new framework dedicated to slender elastic structures and frictional contact
Romero V., Ly M., Rasheed A. H., Charrondière R., Lazarus A., Neukirch S., Bertails-Descoubes F · 2021
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The shape matching element method: Direct animation of curved surface models
Trusty T., Chen H., Levin D. I. W · 2021
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Libshell
Vouga E., Jourdan D · 2021
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Gpu-based simulation of cloth wrinkles at submillimeter levels
Wang H · 2021
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Progressive simulation for cloth quasistatics
Zhang J. E., Dumas J., Fei Y. R., Jacobson A., James D. L., Kaufman D. M · 2022
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High-order incremental potential contact for elastodynamic simulation on curved meshes
Ferguson Z., Jain P., Zorin D., Schneider T., Panozzo D · 2023
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Physically Based Rendering, fourth edition: From Theory to Implementation , 4th ed
Pharr M., Jakob W., Humphreys G · 2023
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Sum-of-squares collision detection for curved shapes and paths
Zhang P., Marschner Z., Solomon J., Tamstorf R · 2023
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Subdivision surfaces: a new paradigm for thin-shell finite-element analysis
Cirak F., Ortiz M., Schröder P · 2072
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