This part of the course notes describes some of the fundamental techniques that are used to define more sophisticated processing algorithms for point-based surfaces. In particular, efficient methods for estimating local surface properties, such as normal vector and curvature, are described. These computations are based on local neighborhoods of point samples, which are defined as subsets of a g...

Results from analyzing the curvature of a surface can be used to improve the implementation, e ciency, and e ectiveness of manufacturing and visualization of sculptured surfaces. In this paper, we develop a robust method using hybrid symbolic and numeric operators to create trimmed surfaces each of which is solely convex, concave, or saddle and partitions the original surface. The same method i...