Research And Implementation Approximate Rigid Mesh Deformation Techniques

Triangular mesh model deformation technology has been a hot spot of research in the field of computer graphics, and the results of their research have been widely used in film and television animation, game development, virtual reality, and applied to education as well, such as medical education, skill training. Whether satisfy the requirement of rigid and the robustness are always important evaluation criterion on mesh deformation algorithm. Deformation based on Laplacian coordinates can better keep the model detail features, but due to its own defects, details distortion will happen after large scale deformation, and the algorithm has robustness problem. Based on these, with intensive study Laplacian mesh deformation, direct at its existing problems and algorithm robustness, put forward the corresponding improved algorithm, and developed the mesh deformation system which has certain application value.The contents of this article have four main aspects:1. Reviewed research Situation of mesh deformation techniques, explained the principles, analysed the benefits and limitations. Studed of the mesh deformation technology based on Laplacian coordinates in depth.2. To solve Laplacian coordinates rotation variation problem in deformation process, proposed normal modified based Laplacian mesh deformation algorithm. Based geometric meaning of cotangent weight Laplacian coordinates, take many iterations to correct the direction of Laplacian coordinate vector direction, so that to approximate the vertex normals. The algorithm has fast convergence speed, high stability, and achieve reasonable deformation result, effectively prevent change of local volume and distortion of details.3. Studied and achieved classical as-rigid-as-possible surface modeling algorithm, and pointed out the poor robustness when dealing with degraded mesh. Robust as-rigid-as-possible mesh deformation algorithm is proposed for the problem. The algorithm added detail-preserved mesh optimization processing into the mesh deformation procedure, thus effectively improving the quality of deformation results and the robustness of the algorithm.4. For the sake of making mesh deformation algorithm proposed be used for the user, we designed and developed a mesh deformation system. In the deformation system, some functions come to realize such as input and output of the model, mesh model display, interactive operation, deformation editing. Allows the user efficiently to complete the deformation of the mesh model according to deformation intent.