Year: 1994
Type: article
Abstract: 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 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.
Author: Jörg Peters
Institution: Purdue University West Lafayette
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W2161562157