Smooth Irregular Mesh Interpolation

Abstract

The construction of a smooth surface from an irregular mesh in space is considered. The mesh vertices can either be interpolated or approximated as a control net. A collection of triangular Bezier patches results from a local, affine invariant and visually smooth interpolation scheme that can represent surfaces of arbitrary topological type. It is based on a domain 4-split. Beside the surface construction scheme, the optimal employment of the numerous degrees of freedom is crucial for an overall pleasing shape. Different local minimum norm criteria are tested to see if they produce satisfactory shapes.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP011991

Entities

People

  • Georges-pierre Bonneau
  • Riadh Taleb
  • Stefanie Hahmann

Organizations

  • National Center for Scientific Research

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Computations
  • Construction
  • Continuity
  • Equations
  • Fungi
  • Interpolation
  • Linear Programming
  • Linear Systems
  • Optimization
  • Polynomials
  • Scalar Functions
  • Shape
  • Side Effects
  • Technical Information Centers
  • Triangles

Readers

  • Computer Vision.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers