Accession Number:

ADP011991

Title:

Smooth Irregular Mesh Interpolation

Descriptive Note:

Conference paper

Corporate Author:

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE GRENOBLE (FRANCE) LAB DE MODELISATION ET CALCUL

Personal Author(s):

• Hahmann, Stefanie
• Bonneau, Georges-Pierre
• Taleb, Riadh

Report Date:

2000-01-01

Pagination or Media Count:

10.0

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.

Descriptors:

• *INTERPOLATION
• APPROXIMATION(MATHEMATICS)
• FRANCE
• TANGENTS
• CURVES(GEOMETRY)

Subject Categories:

• Numerical Mathematics
• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE