Accession Number:

ADP002979

Title:

Bivariate Quadratic Splines on Crisscross Triangulations,

Descriptive Note:

Corporate Author:

TEXAS A AND M UNIV COLLEGE STATION DEPT OF MATHEMATICS

Personal Author(s):

• Chui,C. K.

Report Date:

1984-02-01

Pagination or Media Count:

6.0

Abstract:

A bivariate C superscript 1 quadratic B-spline basis for the space of C superscript 1 piecewise polynomials with total degree two on a crisscross triangulation is given. This basis has very important algebraic, geometric and approximatic properties, and can be used in a variety of applications. In particular, it can be used adaptively in pattern recognition, image processing and data reduction. In image restoration, for example, it gives much better pictures than the tensor product splines using the same discrete data. Author

Descriptors:

• *Bivariate analysis
• Splines(Geometry)
• Polynomials
• Quadratic equations
• Triangulation
• Approximation(Mathematics)
• Pattern recognition
• Image processing

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE