Three Dimentional Texture Mapping Fabric Surface by Using Surface Fitting Method

This paper describes a method of texture mapping using surface fitting for rendering the 3D fabric surface. In the applications of texture mapping to fabric surface model, it is necessary to know point-to-point correspondence between position (x, y, z) on 3D surface and the texture address (u, v). We got measured coordinate of fabric surface using an automatic 3D digitizer system for 3D modeling. Because shape modeled from measured coordinate is very complicated, it is difficult to find texture address on mapped object. These problem causes distortion of the mapped images and not suiting texture to 3D shape. After we marked grid lines on fabric surface to display texture address, we measured 3D deformation of this fabric. Resulting measuring, basic correspondence we gotten at intersection on grid lines. The computation of correspondence for texture mapping was performed in two stages. First, approximate correspondence was computed from basic correspondence using surface fitting. Next, for optimization, approximate correspondence was adjusted to complicated shape with distance of modeled surface. We could apply texture mapping to 3D fabric surface with optimum orrespondence which was gotten by this method. New method for texture mapping is able to apply to textile design system and fashion design system.