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Proceedings Paper

G1 interpolation using piecewise quadric and cubic surfaces
Author(s): Chandrajit L. Bajaj
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Paper Abstract

Algorithms are presented for constructing G' continuous meshes of degree two (quadric) and degree three (cubic) implicitly defined, piecewise algebraic surfaces, which exactly fit any given collection of points and algebraic space curves, of arbitrary degree. A combination of techniques are used from computational algebraic geometry and numerical approximation theory which reduces the problem to solving coupled systems of linear equations and low degree, polynomial equations.

Paper Details

Date Published: 1 August 1990
PDF: 12 pages
Proc. SPIE 1251, Curves and Surfaces in Computer Vision and Graphics, (1 August 1990); doi: 10.1117/12.19736
Show Author Affiliations
Chandrajit L. Bajaj, Purdue Univ. (United States)

Published in SPIE Proceedings Vol. 1251:
Curves and Surfaces in Computer Vision and Graphics
Leonard A. Ferrari; Rui J. P. de Figueiredo, Editor(s)

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