The potential method for blending surfaces and corners:

We survey the potential method for blending implicit algebraic surfaces, summarizing and extending work previously reported. The method is capable of deriving blends for pairs of algebraic surfaces, and is guaranteed to produce blending surfaces of lowest possible degree for two quadrics in general...

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Bibliographische Detailangaben
Hauptverfasser: Hoffmann, Christoph (VerfasserIn), Hopcroft, John E. 1939- (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Ithaca, New York 1985
Schriftenreihe:Cornell University <Ithaca, NY> / Department of Computer Science: Technical report 699
Schlagworte:
Zusammenfassung:We survey the potential method for blending implicit algebraic surfaces, summarizing and extending work previously reported. The method is capable of deriving blends for pairs of algebraic surfaces, and is guaranteed to produce blending surfaces of lowest possible degree for two quadrics in general position
We give two paradigms by which to understand the method. The first paradigm views the blends as surfaces swept out by a family of space curves. The second, more general paradigm considers the surfaces as result of deformation of a parameter space effected by substitution. The method has a general formulation based on projective parameter spaces, but is also the image under projective transformation of the simpler, affine formulation
The deformation by substitution paradigm is extended to blend blending surfaces at solid vertices without a degree penalty, under the assumption that the vertex valence has been reduced to three. It may also lead to a general solution for blending patches of algebraic surfaces that meet tangentially. A special case of this problem is solved and illustrated
Beschreibung:22 S. Ill., graph. Darst.

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