Characterizations of convexity in terms of Bezier coefficients I : surfaces over triangles /

Bibliographic Details
Main Authors:	Cheng, Zhengxing (Author), Chui, C. K. (Author)
Corporate Authors:	National Science Foundation (U.S.) (sponsoring body.), United States. Army Research Office (sponsoring body.)
Format:	Book
Language:	English
Published:	College Station, Texas : Center for Approximation Theory, Department of Mathematics, Texas A & M University, 1992.
Series:	CAT report ; no. 272.
Subjects:	Spline theory. Surfaces. Triangle. Curvature. Convex domains. Approximation theory. Approximations and expansions > Approximations and expansions > Spline approximation. Approximations and expansions > Approximations and expansions > Approximation by positive operators. Bézier polynomials Convexity Characterization Degree-raising Subdivisions

Description
Abstract:	Two characterizations of convex polynomial surfaces over triangles are derived in terms of their Bernstein-Bézier coefficients. The first one is obtained via degree-raising by considering the Gaussian curvature and applying a recent result of Micchelli and Pinkus, and the other is established by applying techniques from subdivision schemes. Both characterizations give rise to efficient algorithms for identifying convex (or concave) polynomial surfaces over triangular regions.
Item Description:	"June 1992." Funding information taken from page 1.
Physical Description:	17 pages ; 28 cm
Bibliography:	Includes bibliographical references (page 17).