Yu-Cai Ma; Hai-Ru Long

New Method Simulating Flexible object-operator Cube Model

Full Text (PDF, 313KB), PP.33-41

Views: 0 Downloads: 0

Author(s)

Yu-Cai Ma ^1,* Hai-Ru Long ¹

1. Textile College of Donghua University, Shanghai, China

* Corresponding author.

DOI: https://doi.org/10.5815/ijem.2011.02.06

Received: 3 Jan. 2011 / Revised: 9 Feb. 2011 / Accepted: 9 Mar. 2011 / Published: 8 Apr. 2011

Index Terms

3-dimension simulation, transformation, operator, operator cube, operator approximation

Abstract

In order to represent complex graph drawing in the course of 3-dimensional dynamic simulating flexible objects such as fabric、garment、rope、netting yarn and rubber band, we designed a new mathematic model named operator cube. Any graph formed on the basis of the point information. In a word, if each point has enough geometry information, the graph can be drawn and rendered. Operator cube model came into being just because of that idea. The paper mainly discussed the theory of operator cube model. The model can transform a complex graph into a simple representation effectively and in real time, especially in the course of topology structure varying flexible object simulation. What’s more, the model can accurately express the simulation results. The model converted between the world coordinate system space and device coordinate system space. And the model and the conversion involved some profound mathematic theorems and our conclusions which were proved strictly.

Cite This Paper

Yu-Cai Ma, Hai-Ru Long,"New Method Simulating Flexible object-operator Cube Model", IJEM, vol.1, no.2, pp.33-41, 2011. DOI: 10.5815/ijem.2011.02.06

Reference

[1] Nadia Magnenat Thalmann, Pascal Volino. From erly draping to haute couture models: 20 years of research[J].Visual Computer, 2005, 21:506-519.

[2] David E Breen, Donald H House. A Particle-Based Model for Simulating the Draping Behaviour of Woven Cloth[J].Textile Research Journal, 1994, 64(11):663-685.

[3] D M Stump, W B Fraser. A Simplified Model of Fabric Drape Based on Ring Theory[J].Textile Research Journal, 1996, 66(8):506-514.

[4] Pascal Volino, Nadia Magnenat-Thalmann. Stop-and-go cloth draping[J].Visual computer, 2007, 23:669-677.

[5] Ming-xiang Chen, Qing-ping Sun, Ming-fai Yuen. Simulation of Fabric Drape Using A Thin Plate Element with Finite Rotation[J].Acta Mechanica Sinica, 1998, 14(3):239-247.

[6] Bijian Chen, Muthu Govindaraj. A Physically Based Model of Fabric Drape Using Flexible Shell Theory[J].Textile Research Journal, 1995, 65(6):324-330.

[7] L Dong, C Lekakou, M G Bader. Solid-mechanics finite element simulations of the draping of fabrics: a sensitivity analysis[J]. composites: Part A, 2000, 31:639-652.

[8] S F Chen, J L Hu, J G Teng. A finite-volume method for contact drape simulation of woven fabrics and garments[J].Finite Elements in Analysis and Design, 2001, 37:513-531.

[9] K Y Sze, X H Liu. Fabric drape simulation by solid-shell finite element method [J]. Finite Elements in Analysis and Design, 2007, 43:819-838.

[10] Jacqueline R Postle, Ron Postle. The Dynamics of Fabric Drape[J].Textile Research Journal, 1999, 69(9):623-629.

[11] W M Lo, J L Hu, L K Li. Modeling a Fabric Drape Profile[J].Textile Research Journal, 2002,72(5):454-463.

[12] Feng Ji, Ru-qin Li, Yi-ping Qiu. Simulate the Dynamic Draping Behaviour of Woven and Knitted Fabrics[J].Journal of Industrial Textiles, 2006, 35(3):201-215.

[13] Jose Miguel S Dias, Manuel N Gamito. A Discretized Linear Model for Cloth Buckling and Drape[J].Textile Research Journal, 2000, 70(4):285-297.

[14] Moon Koo Kang, Jeongjin Lee. A real-time cloth draping simulation algorithm using conjugate harmonic functions[J].Computers & Graphics, 2007, 31:271-279.

[15]Bijian Chen, Muthu Govindaraj. A Parametric Study of Fabric Drape[J].Textile Research Journal, 1996, 66(1):17-24.

[16] In Hwan Sul, Tae Jin Kang. Simulation of Cusick Drapemeter Using Particle-based Modeling:Stability Analysis of Explicit Integration Methods[J].Textile Research Journal, 2006, 76(9):712-719.

[17] Kunii T. singularity theoretical modeling and animation of garment wrinkle formation process[J].visual computer,1990,6(6):326-336.

[18] Jonathan M K,Dong L J.simulating knitted cloth at the yarn level [J]. ACM transactions on graphics,2008,27(1):1-9.

[19] Hidefumi W,Shinichi H.static modeling of linear object deformation based on differential geometry[J].the international journal of robotics research,2004,23(3):293-311.

[20] Yitong Z,Cuiyu L.a micro-mechanical model of knitted fabric and its application to the analysis of buckling under tension in wale direction:micro-mechanical model[J].acta mechanica sinica,2004,20(6):623-631.

[21] Frederic C,Nadia M T.a data-driven approach for real-time cltohes simulation[J].computer graphics forum,2005,24(2):173-183.

[22] [204]Georgii J, Westermam R. a multigrid frame work for real-time simulation of deformable bodies[J].computer & graphics, 2006,30:408-415.

[23] Jansson J. a discrete mechanics model for deformable bodies[J].computer aided design,2002,34:913-928.

[24] Gregire M, Schomer E. interactive simulation of one-dimensional flexible parts[J].computer aided design,2007,39:694-707.

[25] Rony G,David H.efficient simulation of inextensible cloth[J].ACM transactions on graphics,2007,26(3):1-7.

[26] Liang M,Jinlian H.generating seams and wrinkles for virtual clothing [C].proceedings of 2006 ACM interational conference on virtual reality continuum and its applications,2006,205-211.

[27] Chou K, Sun H. deformable simulation using force propagation model with finite element optimization[J].computer & graphics,2004, 28:559-568.

[28] Elliot E,Robert B.animating developble surfaces using nonconfoming elements[J].ACM transactions on graphics,2008,27(3):1-5.

International Journal of Engineering and Manufacturing (IJEM)