Dynamic Cloth Simulation and its Evaluation Experiments in Vacuum

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1 TVRSJ Vol.8 No.3, 23 *1 1 1 Dynamic Cloth Simulation and its Evaluation Experiments in Vacuum Kazuyoshi Tagawa *1, Hirotaku Hayashi 1 and Ryugo Kijima 1 Abstract In spite of many dynamic cloth simulation methods have been proposed in computer graphics and textile engineering field, there are no quantitative evaluation method for comparing real and virtual with various dynamic deformations that can be seen our daily life. Therefore dynamic cloth simulation method have been improved based on subjective evaluations. In this paper, the evaluation experiments in vacuum is proposed and sevral result of experiment is evaluated and discussed. Keywords : cloth simulation, deformable model, spring-mass network, virtual fashion VR VR CG CG CG Weil [1] ProvotThalmannEberhardt *1 *1 Gifu University 1 Fig. 1 Research field and classification of cloth simulation method [2,3,4]BaraffDesbrunChoi [5,6,7]TerzopoulosBreen [8,9,1,11] Collier Yu [12, 13] [14, 15] [16]

2 Vol.8, No.3, 23 [17, 18, 19, 2, 21, 22, 23, 24] [25, 26] 1) 2) [27, 28] [26] [29] 1.3 CG 2 [3] [31, 32, 33] [34] 2 2 Fig. 2 Example of experiments for realizing accurate cloth simulation KES(Kawabata s Evaluation System for fabric)[35] ( KES-FB1/2) a) ε F 3(a) A 5gf cm

3 : ( B) C b) K M 3(b) A G 5 F [gf cm] A C ε [%] (a) εm B M [gf cm/cm] -2.5 F E G A B C D K [cm ] (b) 3 Fig. 3 Typical hysteresis curves of fabric 2.2 a) 4(a) 4(b) 2 P i,p j P i F tensile F tensile = T ( l l l ) l L ij (1) l l L ij P i P j T (ε) - 4 b) 5 3 P i, P j, P k P i F bend F bend = M(K) l w N i (2) K 3 P i, P j, P k R w (a) Pi Ftensile Pj (b) 4 Fig. 4 Calculation of tensile force l P i P j N i P i P j M(K) - Rate M(K) =DK D 1 exp{ α(k K)} M ( ) dk dt > (3a) M(K) =DK D 1 exp{ α(k K)} M ( ) dk dt < (3b) K KES 2.5 M M = 1 2 D 1{1exp( 2αK )} (4) Fbend Ni Pi f 5 Fig. 5 Calculation of bending force P j f 2.3 Euler Pj x n1 i = x n i v n i dt (5) Pk

4 Vol.8, No.3, 23 v n1 i = v n i Fn i dt m i (6) m i i x i i v i i F i i dt n n 1 75mm x (87,37) y :1mm 2mm :5mm 9% 1%(a) (b) (a) (a) 3 2 1cm 1/6 (a) (b) 4 6 Fig. 6 Experimental equipment 8 KES F [gf/cm] Bending Moment [gf cm/cm] (a) y x (b) 7 Fig. 7 Detail of experiments Experimental F =.1191 ε ε ε [%] Fig. 8 D= D1=.1181 α=24.94 (a) - 2.5(Experimental) - 2.(Experimental) - 1.5(Experimental) - 1.(Experimental) -.5(Experimental) Rate Model Curvature [cm ] (b) 8 Physical properties of the cloth

5 : 65% g/cm Pa 7 5mm 2.5mm Rate.1 Xeon 2.GHz PC-AT x y 2.8mm y[mm] x [mm] (a) x [mm] 1 5 (b) 9 Fig. 9 Dumped swing -5 Experimental Simulated Time [s] 1 Fig. 1 Relationship between time and amplitude

6 Vol.8, No.3, y[mm] 4 (4) x[mm] (a) (b) θ [rad] Fig. 11 Rotation by impulsive force { Exprimental 4 θ=14661.t t t t (t<.481) θ=2.88 (t.481) t [s] 12 t θ Fig. 12 Relationship between time t and angle θ of rotation 4 (1) 5 (2) 2 (3) [1] Jerry Weil: The Synthesis of Cloth Objects, Proceedings of SIGGRAPH 86, Vol.2, No.4, pp.49-54(1986). [2] Xavier Provot: Deformation Constraints in a Mass-Spring Model to Describe Rigid Cloth Behavior, Proceedings of Graphics Interface 95, pp (1995). [3] Nadia Magnenat Thalmann, Martin Courchesne, Pascal Volino: Simulating Deformable Clothes for Fashion Industry, Proceedings of International Conference on Virtual Systems and MultiMedia, pp.58-66(1995). [4] Bernhard Eberhardt, Andreas Weber, Wilfgang Strasser: A Fast, Flexible, Particle-System Model for Cloth Draping, Computer Graphics in Textile and Apparel, pp.52-59(1996). [5] David Baraff, Andrew Witkin: Large Steps in Cloth Simulation, Proceedings of SIGGRAPH 98, pp.43-54(1998). [6] Mathieu Desbrun, Peter Schröder, Alan Barr: Interactive Animation of Structured Deformable Objects, Proceedings of Graphic Interface 99(1999). [7] Kwang-Jin Choi, Hyeong-Seok Ko: Stable but Responsive Cloth, Proceedings of SIG- GRAPH 2(22). [8] Demetri Terzopoulos: Elastically Deformable Models, Proceedings of SIGGRAPH 87, pp (1987). [9],,,,, :,, Vol.44, No.5, pp (1988). [1] David E. Breen, Donald H. House, Michell J. Wozny: Predicting the Drape of Woven Cloth Using Interacting Particles, Proceedings of SIG- GRAPH 94, pp (1994). [11],, : PARTY,, Vol.J77-D-II, No.5, pp (1994). [12] J.R. Collier, Bilie J. Collier, Gina O Toole, S.M. Sargand: Drape Prediction by Means of Finiteelement Analysis, Journal of Textile Institute, Vol.82, No.1, pp.96-17(1991). [13] W.R. Yu, T.J. Kang, K. Chung: Drape Simulation of Woven Fabrics by Using Explicit Dynamic Analysis, Journal of Textile Institute, Vol.91, Part 1, No.2, pp (2). [14] L. Gan, N.G. Ly, G.P. Steven: A Study of Fabric Deformation Using Nonlinear Finite Elements, Textile Research Journal, Vol.65, No.11, pp (1995).

7 : [15] Bittino A., Laurentini A., Scalbrin S.: Quantitatively Comparing Virtual and Real Draping of Cloth, VSCG21(21). [16], :,, Vol.52, No.6, pp (1996). [17], :,, Vol.28, No.12, pp.t146-t152(1975). [18] Peirce, F. T.: The Geometory of Cloth Structure, Journal of Textile Institute, Vol.28, pp.45-97(1937). [19] Grosberg, P.: The Mechanical Properties of Woven Fabrics, Textile Research Journal, Vol.36, pp (1966). [2] B. Olofusson: Study of Inelastic Deformations of Textile Fabrics, Journal of Textile Institute, Vol.58, No.6, pp (1967). [21] Abbott, G. M., Grosberg, P., and Leaf, G. A. V.: The Mechanical Properties of Woven Fabrics, Textile Research Journal, Vol.41, pp (1971). [22] Huang, N. C.: Finite Biaxial Extension of Completely Set Plain Woven Fabrics, J. Appl. Mech., Vol.46, pp (1979). [23] T.G. Clapp, H. Peng: Bukling of Woven Fabrics, Textile Research Journal, Vol.6, pp (199). [24] Fengjun Shi, Jinlian Hu: Modeling the Creasing Properties of Woven Fabrics, Textile Research Journal, Vol.7, No.3, pp (2). [25],,,,, Vol.5, No.2, pp.92-9(1993). [26] P. Potluri, J. Atkinson, I. Porat: Large Deformation Modelling of Flexible Materials, Journal of Textile Institute, Vol.87, Part 1, No.1(1996). [27] M. Horio, S. Onogi: Forced Vibration of Reed as a Method of Determining Viscoelasticity, J. Appl. Phys., Vol.22, No.7, pp (1951). [28],,,,, :,, Vol.4, No.9, pp. T81-T97(1987). [29] :, 15, pp.191(22). [3] :,, Vol.5, No.5, pp (1972). [31], :,, Vol.32, No.5, pp (1981). [32] :,, Vol.51, No.7, pp (1995). [33], :,, Vol.49, No.12, pp.t324-t332(1996). [34],, :,, Vol.52, No.2, pp.69-75(1996). [35], 2,, (198) ACM CAD () (PD) ACM () ( )

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