Spline Subdivision Schemes for Convex Compact Sets

  title={Spline Subdivision Schemes for Convex Compact Sets},
  author={Nira Dyn and Elza Farkhi},
The application of spline subdivision schemes to data consisting of convex compact sets with addition replaced by Minkowski sums of sets is investigated These methods generate in the limit set valued functions which can be expressed explicitly in terms of linear com binations of integer shifts of B splines with the initial data as coe cients The subdivision techniques are used to conclude that these limit set valued spline functions have shape pre serving properties similar to those of the… CONTINUE READING