A novel algorithm for triangulating 2d point clouds using multi-dimensional data structures and nearest neighbour approach

Abstract

Generating a mesh from a point cloud has always been a complex and tedious task. It requires many guidelines to be followed and geometry specific boundary condition to be taken care of. Mostly we end up writing a new algorithm for each scenario. The existing algorithms like Delaunay triangulation end up taking a lot of time without taking care of the internal holes properly. Also the convergence is not guaranteed. In this paper, we present a recursion free algorithm for triangulating a structured surface with n-vertices with or without holes using Ball trees. The algorithm takes the input in the form of an image, creates a mask for the object to be triangulated and then creates a mesh for it with respect to computed vertices.