Subdivision surfaces with isogeometric analysis adapted refinement weights
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Abstract
Subdivision surfaces provide an elegant isogeometric analysis framework for
geometric design and analysis of partial differential equations defined on
surfaces. They are already a standard in high-end computer animation and
graphics and are becoming available in a number of geometric modelling systems
for engineering design. The subdivision refinement rules are usually adapted
from knot insertion rules for splines. The quadrilateral Catmull-Clark scheme
considered in this work is equivalent to cubic B-splines away from
extraordinary, or irregular, vertices with other than four adjacent elements.
Around extraordinary vertices the surface consists of a nested sequence of
smooth spline patches which join
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1879-2685