منابع مشابه
Implicitizing Bi-Cubic Toric Surfaces by Dixon? - Resultant Quotients
Toric surface patches have two significant geometric properties: they are multi-sided and they are generalizations of both the triangular and rectangular Bezier surface patches. They also have a very nice algebraic property: their implicit equations are closely related to the Dixon determinant. In particular, for bi-cubic toric patches without base points, their implicit equation can always be ...
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Algebraic surfaces – which are frequently used in geometric modeling – are represented either in implicit or parametric form. Several techniques for parameterizing a rational algebraic surface as a whole exist. However, in many applications, it suffices to parameterize a small portion of the surface. This motivates the analysis of local parametrizations, i.e., parametrizations of a small neighb...
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ژورنال
عنوان ژورنال: European Journal of Mathematics
سال: 2015
ISSN: 2199-675X,2199-6768
DOI: 10.1007/s40879-015-0075-z