The normal of a fractal surface

Wayne O. Cochran, Robert R. Lewis, John C. Hart

Research output: Contribution to journalArticle

Abstract

We have discovered a class of fractal functions that are differentiable. Fractal interpolation functions have been used for over a decade to generate rough functions passing through a set of given points. The integral of a fractal interpolation function remains a fractal interpolation function, and this new fractal interpolation function is differentiable. Tensor products of pairs of these fractal functions form fractal surfaces with a well-defined tangent plane. We use this surface normal to shade fractal surfaces, and demonstrate its use with renderings of fractal mirror.

Original languageEnglish (US)
Pages (from-to)209-218
Number of pages10
JournalVisual Computer
Volume17
Issue number4
DOIs
StatePublished - Jun 2001

Keywords

  • Fractal
  • Fractal function
  • Fractal terrain
  • Iterated function system
  • Recurrent modeling

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design

Fingerprint Dive into the research topics of 'The normal of a fractal surface'. Together they form a unique fingerprint.

  • Cite this