Sectional-curvature preserving skinning surfaces

Kaklis, PD; Ginnis, AI

dc.contributor.author	Kaklis, PD	en
dc.contributor.author	Ginnis, AI	en
dc.date.accessioned	2014-03-01T01:12:16Z
dc.date.available	2014-03-01T01:12:16Z
dc.date.issued	1996	en
dc.identifier.issn	0167-8396	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12036
dc.subject	Polynomial splines of nonuniform degree	en
dc.subject	Sectional-curvature preserving (scp) interpolatory surfaces	en
dc.subject	Shape preserving surfaces	en
dc.subject	Skinning surfaces	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Algorithms	en
dc.subject.other	Functions	en
dc.subject.other	Geometry	en
dc.subject.other	Interpolation	en
dc.subject.other	Polynomials	en
dc.subject.other	Set theory	en
dc.subject.other	Surfaces	en
dc.subject.other	Computer aided geometric design (CAGD)	en
dc.subject.other	Polynomial splines	en
dc.subject.other	Sectional curvature preserving skinning surfaces	en
dc.subject.other	Computer aided design	en
dc.title	Sectional-curvature preserving skinning surfaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0167-8396(95)00048-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0167-8396(95)00048-8	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	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
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Computer Aided Geometric Design	en
dc.identifier.doi	10.1016/0167-8396(95)00048-8	en
dc.identifier.isi	ISI:A1996VM55900002	en
dc.identifier.volume	13	en
dc.identifier.issue	7	en
dc.identifier.spage	601	en
dc.identifier.epage	619	en