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An operator calculus for surface and volume modelingThe mathematical techniques which form the foundation for most of the surface and volume modeling techniques used in practice are briefly described. An outline of what may be termed an operator calculus for the approximation and interpolation of functions of more than one independent variable is presented. By considering the linear operators associated with bivariate and multivariate interpolation/approximation schemes, it is shown how they can be compounded by operator multiplication and Boolean addition to obtain a distributive lattice of approximation operators. It is then demonstrated via specific examples how this operator calculus leads to practical techniques for sculptured surface and volume modeling.
Document ID
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Gordon, W. J.
(Drexel Univ. Philadelphia, PA, United States)
Date Acquired
August 12, 2013
Publication Date
March 1, 1984
Publication Information
Publication: NASA. Langley Research Center Computer-Aided Geometry Modeling
Subject Category
Computer Programming And Software
Accession Number
Funding Number(s)
CONTRACT_GRANT: N00014-80-C-0176
Distribution Limits
Work of the US Gov. Public Use Permitted.
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