On convex Bézier triangles

نویسندگان

  • H. PRAUTZSCH
  • H PRAUTZSCH
چکیده

— Goodman [8] showed that uniform subdivision of triangular Bézier nets preserves convexity. Hère, a very short proofofthis f act is given which applies even to box spline surfaces and degree élévation instead of subdivision. Secondiy, it is shown that every Bézier net of a quadratic convex Bézier triangle can be subdivided such that the net becomes convex.

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تاریخ انتشار 2009