G1 interpolation using piecewise quadric and cubic surfaces

Chandrajit L. Bajaj

doi:10.1117/12.19736

1 August 1990 G1 interpolation using piecewise quadric and cubic surfaces

Chandrajit L. Bajaj

Proceedings Volume 1251, Curves and Surfaces in Computer Vision and Graphics; (1990) https://doi.org/10.1117/12.19736
Event: Electronic Imaging: Advanced Devices and Systems, 1990, Santa Clara, CA, United States

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.

Citation Download Citation

Chandrajit L. Bajaj "G1 interpolation using piecewise quadric and cubic surfaces", Proc. SPIE 1251, Curves and Surfaces in Computer Vision and Graphics, (1 August 1990); https://doi.org/10.1117/12.19736

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