Generation of Knot Net for Calculation of Quadratic Triangular B-spline Surface of Human Head

Abstract

This paper deals with calculation of the quadratic triangular B-spline surface of the human head for the purpose of its modeling in the standard videocodec MPEG-4 SNHC. In connection with this we propose an algorithm of generation of the knot net and present the results of its application for triangulation of the 3D polygonal model Candide. Then for the model and generated knot net as well as an established distribution of control points we show the results of the calculated quadratic triangular B-spline surface of the human head including its textured version for the texture of the selected avatar.K e y w o r d s: triangular B-spline, quadratic surface, knot net, human head, 3D polygonal model

A Geometrically Exact Triangular Shell Element Based on Reproducing Kernel DMS-Splines

“…From the above analysis, it can be found that the location of the knots in the parametric domain play an important role in determining the DMS-splines. A major restriction on the position of the knot-cloud is that three knots can not be collinear [57] for a smooth surface. This is a severe task to obtain the knot-cloud over the parametric domain.…”

“…This is a severe task to obtain the knot-cloud over the parametric domain. In this study, the algorithm for generating the knot-net proposed by Mihalík [57] is adopted. This method considers the distance between the main knot and the extra knot as the only variable.…”

“…Pfeifle et al [55] proposed a method to fit the DMS-spline surface by using the scattered points data, and obtained the smooth surfaces by combining the least squares method and bending energy minimization method. Furthermore, Mihalík used the DMS-splines to model the human head surface [56,57], and proposed an effective algorithm for generating the knot-net.…”