The Minkowski sum of two simple surfaces generated by slope-monotone closed curves

Joon-Kyung Seong, Myung-Soo Kim, K. Sugihara
Geometric Modeling and Processing. Theory and Applications. GMP 2002. Proceedings  
We present an algorithm for computing Minkowski sums among surfaces of revolution and surfaces of linear extrusion, generated by slope-monotone closed curves. The special structure of these simple surfaces allows the process of normal matching between two surfaces to be expressed as an explicit equation. Based on this insight, we also present an efficient algorithm for computing the distance between two simple surfaces, even though they may in general be non-convex. Using an experimental
more » ... experimental implementation, the distance between two surfaces of revolution was computed in less than 0.5 msec on average.
doi:10.1109/gmap.2002.1027494 dblp:conf/gmp/SeongKS02 fatcat:atxb6avjkbgn5mvcqfp4gwznyu