MIPS: An Efficient Global Parametrization Method

Abstract

The problem of parametrizing 3D data points is fundamental for many applications in computer-aided geometric design, e.g., surface fitting, texture mapping, and remeshing. We present a new method for constructing a global parametrization of a triangulated (topologically disk-like) surface over a planar region with minimal distortion. In contrast to many existing approaches which need the boundary of the parametrization to be fixed in advance, the boundary develops naturally with this new algorithm.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012025

Entities

People

  • Guenther Greiner
  • Kai Hormann

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Computations
  • Coordinate Systems
  • Curvature
  • Data Sets
  • Differential Geometry
  • Distortion
  • Energy
  • Geometric Forms
  • Geometry
  • High Energy
  • Linear Algebra
  • Linear Systems
  • Shape
  • Technical Information Centers
  • Triangles

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Vision.
  • Graph Algorithms and Convex Optimization.