Sectional-curvature preserving skinning surfaces

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1996 (EN)
Sectional-curvature preserving skinning surfaces (EN)

Ginnis, AI (EN)
Kaklis, PD (EN)

N/A (EN)

In this work we develop a method for constructing sectional-curvature preserving (scp) C-2-continuous surfaces, which interpolate point-sets lying on parallel planes. The working function space consists of skinning surfaces, whose skeletal lines and blending functions are polynomial splines of nonuniform degree. The asymptotic behaviour of these surfaces and their sectional curvature, as the segment degrees tend to infinity globally or semilocally, is thoroughly studied. This study provides sufficient geometrical conditions on the given data ensuring that, if the segment degrees increase semilocally then the surface will eventually become sep in the corresponding parameter subdomain. Based on the obtained asymptotic results, an automatic algorithm for constructing sep interpolatory surfaces is developed and numerically tested. (EN)


Computer aided geometric design (CAGD) (EN)
Polynomial splines of nonuniform degree (EN)
Polynomial splines (EN)
Skinning surfaces (EN)
Surfaces (EN)
Functions (EN)
Sectional curvature preserving skinning surfaces (EN)
Geometry (EN)
Interpolation (EN)
Algorithms (EN)
Sectional-curvature preserving (scp) interpolatory surfaces (EN)
Set theory (EN)
Polynomials (EN)
Computer aided design (EN)
Shape preserving surfaces (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Computer Aided Geometric Design (EN)



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