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Paper detail

Linear precision for toric surface patches

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 family of toric patches with trapezoidal shape, each of which has linear precision. Bézier triangles and tensor product patches are special cases of trapezoidal patches.

preprint2009arXivOpen access
Hans-Christian Graf von BothmerKristian RanestadFrank Sottile
math.AG
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Hans-Christian Graf von BothmerKristian RanestadFrank Sottile

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