평면전개를 이용한 3D 자유곡면 간의 곡면전개

This paper presents a method for surface to surface development between 3D sculptured surfaces. This technique can be used as a way of confirming in advance the contour shape of the original surface on the target surface that can minimize the geometric changes while the original surface is developed on a specific portion of the target surface of the human body. For this purpose, both the original and target surfaces were first tessellated and roughly flattened on a 2D plane. Next, the facet models were optimally developed onto a 2D plane by geometry-based method, minimizing geometric errors (e.g., area change ratio). Finally, the 3D point on the target surface corresponding to the 2D nodal point of the original facet model were obtained by calculating barycentric coordinates on the 2D plane. An example was presented to validate the proposed surface to surface development method.