The medial axis of an object is the union of all points within the object that are the closest point for two or more points on the object's surface. The medial axis holds important information on the object's geometric properties. However, obtaining the exact medial axis for a given object is non-trivial. The goal of this project is to implement the ideas presented by Shin Yoshizawa for generating a manifold approximation of the 3D medial axis of a polyhedral mesh for use in mesh fracturing. This project was built off of source code provided by Yoshizawa and aims to extend the functionality to provide an approximation of the inner surfaces of a mesh after fracturing off a portion of the surface.
The current medial axis approximation is a decent estimation, however requires additional fine-tuning to achieve a more consistent and accurate medial axis. Voronoi diagrams tend to produce an erratic medial axis when noise is present in the mesh. This can be seen in the bunny10k mesh above.
Additionally, the medial axis approximation becomes less accurate as the density of the point cloud decreases. To combat this, faces can be subdivided a number of times prior to being sent to Qhull.