Selective Degree Elevation for Multi‐Sided Bézier Patches

@article{Smith2015SelectiveDE,
  title={Selective Degree Elevation for Multi‐Sided B{\'e}zier Patches},
  author={J. Smith and S. Schaefer},
  journal={Computer Graphics Forum},
  year={2015},
  volume={34}
}
This paper presents a method to selectively elevate the degree of an S‐Patch of arbitrary dimension. We consider not only S‐Patches with 2D domains but 3D and higher‐dimensional domains as well, of which volumetric cage deformations are a subset. We show how to selectively insert control points of a higher degree patch into a lower degree patch while maintaining the polynomial reproduction order of the original patch. This process allows the user to elevate the degree of only one portion of the… Expand
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