ACS Algorithms for Complex Shapes with Certified Numerics and Topology Piecewise Linear Kernels for Simultaneous Approximation of Implicit and Mesh Surfaces from Point Cloud Data

We investigate a new method to compute a piecewise linear representation of a surface in R or R from a set of sample points from the surface. As implicit surface functions we use the weighted sum of piecewise linear kernel functions centered at the surface points. For such a function we can partition R or R in such a way that these functions are linear on… (More)