Blending and Filling of NURBS Patches

Nurbs Approximation of A-Splines and A-Patches

Given A spline curves and A patch surfaces that are implicitly de ned on triangles and tetrahedra we determine their NURBS representations We provide a trimmed NURBS form for A spline curves and a parametric tensor product NURBS form for A patch surfaces We concentrate on cubic A patches providing a C continuous surface that interpolates a given triangulation together with surface normals at th...

A VLSI architecture for the computation of NURBS patches

Local progressive-iterative approximation format for blending curves and patches

Article history: Received 13 July 2009 Received in revised form 12 November 2009 Accepted 17 January 2010 Available online 20 January 2010

Filling polygonal holes with bicubic patches

Consider a bicubic rectangular patch complex which surrounds an n-sided hole in R. Then the problem of filling the hole with n bicubic rectangular patches is studied.

C1-Continuous Coons-type Blending of Triangular Patches

A Gordon–Coons-type surface construction starts from three differentiable triangular surface patches, which are defined on the same triangular parameter domain. If one boundary curve of each fits a curvilinear triangle, then the defined surface interpolates to these curves. The connection between the resulting surface and the constituents is C1 continuous along the common boundary curves with t...