Integration methods in the problem of modelling a~fabric based on the particles method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 9 (2006) no. 3, pp. 287-298.

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This paper describes a fabric simulation system. On the basis of the method of particles with allowance for physical properties of a fabric, the model and the algorithm for modelling the behaviour of a fabric on the surface of a rigid polyhedral object are developed. A comparative analysis of some different integration methods is made. And some results of the simulation are presented.
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V. V. Landovsky; V. D. Frolovskii. Integration methods in the problem of modelling a~fabric based on the particles method. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 9 (2006) no. 3, pp. 287-298. http://geodesic.mathdoc.fr/item/SJVM_2006_9_3_a7/

[1] Baraff D. and Witkin A., “Large steps in cloth simulation”, Proc. SIGGRAPH-98, 1998, 43–54

[2] Provot X., “Deformation constraints in a mass-spring model to describe rigid cloth behavior”, Proceedings of Graphics Interface, 1995, 147–154

[3] Hockney W. and Eastwood J. W., Computer Simulation Using Particles, McGraw-Hill, New York, 1981

[4] Frolovsky V. D., Landovsky V. V., “Modeling of fabric based on particles method”, Proc. of the Int. Forum isiCAD-2004, Ledas Ltd., Novosibirsk, 2004, 224–229

[5] Eberhardt A., Weber A., Strasser W., “A fast, flexible, particle-system model for clothes draping”, IEEE Computer Graphics and Applications, 16 (1996), 52–59 | DOI

[6] Kawabata S., Postle R., Niwa N., Objective Specification of Fabric Quality, Mechanical Properties and Performance, The Textile Mach. Soc. Japan Publications, 1982

[7] Frolovskii V. D., “Metod energeticheskikh funktsii postroeniya kvazirazvertok poverkhnostei”, Sib. zhurn. industrialnoi matem., 3:1 (2000), 195–204

[8] Novikov E. A., Yavnye metody dlya zhestkikh sistem, Nauka. Sib. Predpriyatie RAN, Novosibirsk, 1997 | MR

[9] Shewchuk J. R., An introduction to the conjugate gradient method without the agonizing pain, Technical Report CS-94-125, Carnegie Mellon University, Pittsburgh, 1994

[10] Pissanetski S., Tekhnologiya razrezhennykh matrits, Mir, M., 1988 | MR

[11] Balandin M. Yu., Shurina E. P., Metody resheniya SLAU bolshoi razmernosti, Izd-vo NGTU, Novosibirsk, 2000