C～2-continuous Surface Reconstruction Based On Triangle Mesh And B-spline Surface Smoothing

Surface reconstruction is of great importance in a variety of situations. The quality of reconstructed surfaces is related to many factors, such as quality of original data and surface fitting strategy, surface post-processing, and so on. In this thesis, the relative techniques of high quality surface reconstruction and surface interrogation based on triangular mesh are studied in depth. The main contents are as follows:(1) Typical mesh smoothing schemes are analyzed. A new method for mesh smoothing is presented. Experimental results demonstrate the proposed method is effective with the original features preserved entirely and the model distortion is very small. According to the characteristic of typical mesh smoothing technique, this thesis also proposes a novel approach to error estimation for mesh smoothing.(2) A novel surface reconstruction algorithm that solves the problem of C2- continuous piecewise bi-cubic B-spline surface reconstruction based on triangular mesh is developed. It can guarantee the whole surface is C2- continuous everywhere.(3) The thesis proposes an improved algorithm for fairing of bi-cubic B-spline surface which detects the location of non-fairing automatically and adjusts the relative control points.In addition, a new highlight-line method used for surface interrogation is presented.(4) The thesis provides the important data structure and the procedure of the surface reconstruction algorithm. The algorithm has been implemented with VC++6.0 on the platform of ACIS. Experimental results are presented to demonstrate the efficiency of the all proposed approaches.