Chapter

Mathematics of Surfaces XI

Volume 3604 of the series Lecture Notes in Computer Science pp 350-363

Artifacts in Box-Spline Surfaces

  • Malcolm A. SabinAffiliated withComputer Laboratory, University of Cambridge
  • , Ursula H. AugsdörferAffiliated withComputer Laboratory, University of Cambridge
  • , Neil A. DodgsonAffiliated withComputer Laboratory, University of Cambridge

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Abstract

Certain problems in subdivision surfaces have provided the incentive to look at artifacts. Some of these effects are common to all box-spline surfaces, including the tensor product B-splines widely used in the form of NURBS, and these are worthy of study. Although we use the subdivision form of box- and B-splines as the mechanism for this study, and also apply the same mechanism to the subdivision schemes which are not box-splines, we are looking at problems which are not specific to subdivision surfaces, but which afflict all Box- and B-splines.