LINEAR PRECISION FOR TORIC SURFACE PATCHES

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LINEAR PRECISION FOR TORIC SURFACE PATCHES (2008)

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by Hans-Christian Graf von Bothmer , Kristian Ranestad , Frank Sottile

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2 - 1 self

BibTeX

@MISC{Bothmer08linearprecision,
    author = {Hans-Christian Graf von Bothmer and Kristian Ranestad and Frank Sottile},
    title = {LINEAR PRECISION FOR TORIC SURFACE PATCHES},
    year = {2008}
}

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Abstract

We classify the homogeneous polynomials in three variables whose toric polar linear system defines a Cremona transformation. This classification also includes, as a proper subset, the classification of toric surface patches from geometric modeling which have linear precision. Besides the well-known tensor product patches and Bézier triangles, we identify a toric patch with trapezoidal shape that has linear precision.

Keyphrases

linear precision toric surface patch linear precision toric polar linear system zier triangle proper subset homogeneous polynomial well-known tensor product patch cremona transformation trapezoidal shape toric surface patch toric patch

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