Linear Precision for Toric Surface Patches Academic Article

abstract

• We classify the homogeneous polynomials in three variables whose toric polar linear system defines a Cremona transformation. This classification 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 Bzier triangles, we identify a family of toric patches with trapezoidal shape, each of which has linear precision. Furthermore, Bzier triangles and tensor product patches are special cases of trapezoidal patches. SFoCM 2009.

authors

• Sottile, Frank

published proceedings

• Foundations of Computational Mathematics

author list (cited authors)

• Grafvon Bothmer, H., Ranestad, K., & Sottile, F.

citation count

• 4

complete list of authors

• Graf von Bothmer, Hans-Christian||Ranestad, Kristian||Sottile, Frank

publication date

• February 2010

publisher

• Springer Nature  Publisher

published in

• Foundations of Computational Mathematics  Journal

keywords

• 46 Information And Computing Sciences
• 49 Mathematical Sciences

Digital Object Identifier (DOI)

• 10.1007/s10208-009-9052-6

start page

• 37

end page

• 66

volume

• 10

issue

• 1

URL

• http://dx.doi.org/10.1007/s10208-009-9052-6