Biquartic C1-surface splines over irregular meshes

Jörg Peters
1995 Computer-Aided Design  
Extending and complementing the definition of C 1 surface splines in [Peters '93], the biquartic surface splines improve continuity and shape properties in the case where the user chooses to model entirely with four-sided patches. The splines generalize the construction of C 1 surfaces from tensor-product B-spline control points to a wider class of control meshes capable of outlining arbitrary free-form surfaces in space. Irregular meshes with non quadrilateral cells and more or fewer than four
more » ... cells meeting at a point are allowed so that arbitrary free-form surfaces with or without boundary can be modeled in the same conceptual frame work as tensor-product B-splines. That is, the mesh points serve as control points of a smooth piecewise polynomial surface representation that is local and evaluates by averaging.
doi:10.1016/0010-4485(95)00010-0 fatcat:hv3dalosrjgevaoeiipquqwuua