Arc-Length Constraint-Based Surface Deformation Using Energy-Minimum Optimization

Deformation of 3D objects is an important problem in many application domains, such as geometric modeling, computer graphics and computer-aided design. In this paper, we propose a method for deformation of 3D objects with arc-length constraints. We convert the curve into the polyline. Then we build the energy function of the polyline. Based on the minimum energy curve method, the curve on the mesh is deformed with arc-length constraints and multi-points constraints. The test results show that the proposed method has good performance. Compared to the other method, shape preserving of the curve is better. Finally, we use this method for the deformation of the 3D mannequin model.