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SUMMARY:Non-uniform Subdivision using Refine and Smooth\, and Bounded Curv
 ature Subdivision without Eigenanalysis - Tom Cashman and Malcolm Sabin
DTSTART:20070607T131500Z
DTEND:20070607T141500Z
UID:TALK7311@talks.cam.ac.uk
CONTACT:Tom Cashman
DESCRIPTION:Tom's talk: Non-uniform Subdivision using Refine and Smooth\n\
 nCurrent subdivision surfaces are uniform and only exist for low degree. N
 URBS (the standard surface representation for CAD/CAM) are much more gener
 al: non-uniform and well-defined for any degree. For subdivision surfaces 
 to have a claim as a NURBS-replacement\, this gap must be bridged.\n\nIn t
 his talk\, I will describe our work on fitting non-uniform subdivision int
 o a "refine and smooth" framework\, which is a first step towards finding 
 such a non-uniform\, general degree subdivision scheme.\n\nMalcolm's talk:
  Bounded Curvature Subdivision without Eigenanalysis\n\nIt has long been k
 nown how to achieve bounded curvature at extraordinary points of a subdivi
 sion scheme by using eigenanalysis and then adjusting the mask of each ext
 raordinary point. This talk provides an alternative insight\, based on sec
 ond divided differences\, and applies it to three familiar schemes. In eac
 h case a bounded curvature variant results\, with a very simple and elegan
 t implementation.\n\nBoth talks are rehearsals for presentations at the Ma
 ths of Surfaces conference in September.
LOCATION:Rainbow Room\, Computer Laboratory
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