Let r be a fixed positive integer. It is shown that, given any partial orders >1, . . ., >r on the same n-element set P, there exist disjoint subsets A, B P, each with at l...
Thie paper presents a representation echeme for polyhedral objects in arbitrary dimensions. Each object ie represented as the algebraic sum of convex polyhedra (cells). Each cell ...
A k-dense corridor through a finite set, S, of n points in the plane is the open region of the plane that is bounded by two parallel lines that intersect the convex hull of S and ...
Moving-Least-Squares (MLS) Surfaces undergoing large deformations need periodic regeneration of the point set (point-set resampling) so as to keep the point-set density quasi-unif...
In this paper a method for fitting open surfaces to an unorganized set of data points is presented using a level set representation of the surface. This is done by tracking a curv...