We construct a class of envelope surfaces in Rd , more precisely envelopes of balls. An envelope surface is a closed C1 (tangent continuous) manifold wrapping tightly around the u...
The present paper investigates two-parameter families of spheres in R3 and their corresponding two-dimensional surfaces in R4 . Considering a rational surface in R4 , the envelo...
We analyze degeneracy of lower envelopes of algebraic surfaces. We focus on the cases omitted in the existing complexity analysis of lower envelopes [Halperin and Sharir 1993], an...
Lower envelopes are fundamental structures in computational geometry, which have many applications, such as computing general Voronoi diagrams and performing hidden surface removal...
In this paper, we describe an algorithm for generating an exact rational envelope of a two-parameter family of spheres given by a quadratic patch in R3,1 , which is considered as ...