Surface Flattening Assisted with 3D Mannequin Based On Minimum Energy

Authors: Shih-Wen Hsiao, Rong-Qi Chen, Chien-Yu Lin

Abstract:

The topic of surface flattening plays a vital role in the field of computer aided design and manufacture. Surface flattening enables the production of 2D patterns and it can be used in design and manufacturing for developing a 3D surface to a 2D platform, especially in fashion design. This study describes surface flattening based on minimum energy methods according to the property of different fabrics. Firstly, through the geometric feature of a 3D surface, the less transformed area can be flattened on a 2D platform by geodesic. Then, strain energy that has accumulated in mesh can be stably released by an approximate implicit method and revised error function. In some cases, cutting mesh to further release the energy is a common way to fix the situation and enhance the accuracy of the surface flattening, and this makes the obtained 2D pattern naturally generate significant cracks. When this methodology is applied to a 3D mannequin constructed with feature lines, it enhances the level of computer-aided fashion design. Besides, when different fabrics are applied to fashion design, it is necessary to revise the shape of a 2D pattern according to the properties of the fabric. With this model, the outline of 2D patterns can be revised by distributing the strain energy with different results according to different fabric properties. Finally, this research uses some common design cases to illustrate and verify the feasibility of this methodology.

Keywords: Surface flattening, Strain energy, Minimum energy, approximate implicit method, Fashion design.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1094569

References:

[1] P.N.Azariadis, and N.A.Aspragathos, "Design of plane development of doubly curved surface,”Comput Aided Des., vol. 29,pp.675-685,1997.
[2] C.Bennis,J. M.Vézien,andG.Iglésias,"Piecewise surface flattening for non-distorted texture mapping,”Comput Graph.,vol. 25,pp. 237-46,1991.
[3] J.Hoschek, "Approximation of surfaces of revolution by developable surfaces,”Comput Aided Des.,vol. 30,pp. 757-763, 1997.
[4] J. McCartney, B. K.Hinds, andB.L.Seow,"The flattening of triangulated surfaces incorporating darts and gussets,”ComputAided Des.,vol.31,pp.249-260, 1999.
[5] C. C. L.Wang, S. S. F. Chen, andM. M. F.Yuen,"Surface flattening based on energy model,”Comput Aided Des.,vol. 34,pp. 823-833, 2002.
[6] P. N. Azariadis, and N. A.Aspragathos,"On using planar developments to perform texture mapping on arbitrarily curved surfaces,”Comput Graph.,vol.24,pp. 539-554, 2000.
[7] P. N. Azariadis, andN. A.Aspragathos,"Geodesic curvature preservation in surface flattening through constrained global optimization,”Comput Aided Des.,vol. 33,pp. 581-591, 2001.
[8] J.McCartney, B. K.Hinds,andK. W. Chong,"Pattern flattening for orthotropic materials,”Comput Aided Des.,vol. 37,pp. 631-644, 2005.
[9] C. C. L.Wang, K.Tang, and B. M. L.Yeung. "Freeform surface flattening based on fitting a woven mesh model,”Comput Aided Des.,vol. 37,pp. 799-814,2005.
[10] Y.Zhong,and B.Xu, "A physically based method for triangulated surface flattening,”Comput Aided Des.,vol. 38,pp. 1062-1073, 2006.
[11] C. K.Au,andY. S. Ma,"Garment pattern definition, development and application with associative feature approach,”ComputInd.,vol. 61,pp.524-531,2010.
[12] C. C. L.Wang,"WireWarping: A fast surface flattening approach with length-preserved feature curves,”Comput Aided Des.,vol. 40,pp.381-395, 2008.
[13] H.Q.Huang, P. Y.Mok, Y.L.Kwok, andJ. S.Au. "Block pattern generation: From parameterizing human bodies to fit feature-aligned and flattenable 3D garments,”Comput Ind.,vol. 63,pp.680-691,2012.
[14] C. C. L. Wang,andK. Tang,"Woven model based geometric design of elastic medical braces,”Comput Aided Des.,vol. 39,pp.69-79, 2007.
[15] C. C. L.Wang, andK.Tang,"Pattern computation for compression garment by a physical/geometric approach,”Comput Aided Des.,vol. 42,pp.78-85, 2010.
[16] X.Provot,"Deformation constraints in a mass-spring model to describe rigid cloth behavior,”in 1995Proc.Graphics Interface Conf., pp.147-154.
[17] D.Baraff, andA.Witkin,"Large steps in cloth simulation,”Comput Graph.,vol.32,pp.43-52,1998.
[18] M.Desbrun,andB. P. A. Schroder,"Interactive animation of structured deformable objects,” in 1999Proc.Graphics Interface Conf.,pp.1-8.
[19] Y. M.Kang, J. H. Choi, and H. G.Cho,"Fast and stable Animation of Cloth with an approximated implicit method,” in 2000Proc.Computer Graphics International Conf., pp.247-255.
[20] Y. M.Kang, J. H.Choi, H. G.Cho, and C. J.Park, "An efficient animation of wrinkled cloth with approximate implicit integration,”Vis Comput.,vol. 17,pp.147-157, 2001.
[21] Y.M.Kang,and H. G. Cho,"Bilayered approximate integration for rapid and plausible animation of virtual cloth with realistic wrinkles,” in 2002Proc.Computer Animation Conf., pp.203-211.