Linear precision for toric surface patches

H-C. Graf von Bothmer, K. Ranestad, and F. Sottile.

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 B\'ezier triangles, we identify a toric patch with trapezoidal shape that has linear precision.



The manuscript in pdf.
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