Bivariate Quadratic Splines on Crisscross Triangulations,

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)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1984
Accession Number
ADP002979

Entities

People

  • Charles K. Chui

Organizations

  • Texas A&M University

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Data Processing
  • Data Reduction
  • Image Processing
  • Image Restoration
  • Mathematics
  • Pattern Recognition
  • Polynomials
  • Recognition
  • Triangulation

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Image Processing and Computer Vision.

Technology Areas

  • AI & ML
  • AI & ML - Machine Learning Algorithms
  • Space
  • Space - Space Objects