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Stereographic Draping is a mathematical model of garment draping that unfolds a 3-D garment surface to the corresponding flat garment patterns. This unfolding process is accurate only when the fabric is rigid. In general, it induces distortion in distance and area. The distortion is related to the intrinsic properties of the garment surface and the mechanical properties of the fabric. Mathematically, Stereographic Draping on a general surface is very difficult to be analyzed. Based on representation of the bicubic Bezier patch, the theoretical analysis was conducted to formulate the distortion properties of Stereographic Draping. This article is the part one of the results of the theoretical analysis. The distortion is expressed in terms of the intrinsic geometric properties of the garment surface. In part two, the focus will be on the distortion properties with respect to the fabric mechanical properties. The distortion theory provides insight in the garment pattern design theory and addresses the distortion properties.Institute of Textiles and Clothin

Distortion Theory of Stereographic Draping with Flexible Fabric on General Surface: Part I-Geometric Analysis