A B-Spline Approach to Hermite Subdivision

Abstract

We present a new approach to Hermite subdivision schemes. It is based on the observation that a sequence of second order Hermite data define a unique interpolating cubic C(sup 1) spline. The B-Spline form of this interpolating spline leads to a stationary binary subdivision scheme with 4 different subdivision rules for the control points. We construct a generalized 4-point scheme which leads to a new family of C(sup 2) Hermite subdivision schemes.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012006

Entities

People

  • B. Juettler
  • U. Schwanecke

Organizations

  • Johannes Kepler University Linz

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Continuity
  • Convergence
  • Generators
  • Intervals
  • Numbers
  • Optimization
  • Real Numbers
  • Sequences
  • Stationary
  • Technical Information Centers

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.