Hierarchical multiresolution reconstruction of shell surfaces
We present an adaptive, hierarchical Hh-multiresolution reconstruction algorithm to model shell surface objects from a matched pair of triangulated surfaces. Shell surfaces are an interval of contours of trivariate functions with prismatic support. In ...
C2 free-form surfaces of degree (3,5)
This paper introduces new techniques for modeling low degree, smooth free-form surfaces of unrestricted patch layout. In particular, surfaces that are C2 after reparametrization can be built from tensor-product Bézier or spline patches of degree (3, 3) ...
Regular triangulations of dynamic sets of points
The Delaunay triangulations of a set of points are a class of triangulations which play an important role in a variety of different disciplines of science. Regular triangulations are a generalization of Delaunay triangulations that maintain both their ...
A new implicit representation of a planar rational curve with high order singularity
This paper presents a new representation for the implicit equation of a planar rational curve with high order singularity by using moving curves technique. The new representation is the determinant of a matrix which is less than one half the size of the ...