Mesh generation and refinement of polygonal data sets

Abstract

Abstract

Trends and Solutions in CAD/CG

“…Let us note that our main premise is to take account of a surface variation σ (an analog of surface curvature) that might be useful for correct choice of a radius of support (r-sphere) for reconstruction taking into consideration the orientations of local surface elements. In our work (63) , we have investigated rather simple scheme taking account of the local geometry of a surface. Figure 13 shows the results of reconstruction using the approach discussed above.…”

2D Local Sample-Based Interpolation as a Tool for Approximation of 3D Point Sets

“…In recent years, it has received much attention due to the works of Melenk and Babuska (30) and Krysl et al (31) Application of PUM for goals of geometry modeling was considered in a recent article by Ohtake et al (32) In fact, PUM does not provide overall smoothness. According to our experiments (33) with PUM, reconstructed surfaces often exhibit clearly visible "bumps," so a surface generated by PUM should be refined by applying smoothing algorithms.…”