English

Analytic Definition of Curves and Surfaces by Parabolic Blending

Graphics 2021-08-23 v1

Abstract

A procedure for interpolating between specified points of a curve or surface is described. The method guarantees slope continuity at all junctions. A surface panel divided into p x q contiguous patches is completely specified by the coordinates of (p+1) x (q+1) points. Each individual patch, however, depends parametrically on the coordinates of 16 points, allowing shape flexibility and global conformity.

Keywords

Cite

@article{arxiv.cs/0503054,
  title  = {Analytic Definition of Curves and Surfaces by Parabolic Blending},
  author = {A. W. Overhauser},
  journal= {arXiv preprint arXiv:cs/0503054},
  year   = {2021}
}

Comments

9 pages, 4 figures, technical report