Matches in SemOpenAlex for { <https://semopenalex.org/work/W2551246478> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W2551246478 abstract "Parametrie spline curves and surfaces are typieally constructed so that some number of derivatives match where the curve segments or surface patches abut. If derivatives up to order n are continuous, the segments or patches are said to meet with eR, or nth order parametrie eontinuitll. It has been shown previously that parametrie continuity is sufficient, but not necessary, for geometrie smoothness. The geometrie measures of unit tangent and eur1lature v~tors for curves, and tangent plane and Dupin indieatrixfor surfaces, have been used to define first and Becond order geometrie eontinuitll. In this paper, we extend the notion of geometrie continuity to arbitrary order n (aR) for curves and surfaces, and present an intuitive development of constraint equations that are necessary and sufficient for it. The constraints (known as the Beta eonstraints) result from a direct application of the univariate chain rule for curves and the bivariate chain rule for surfaces. For first and second order continuity, the Beta constraints are equivalent to requiring continuity of the geometrie measures described above." @default.
- W2551246478 created "2016-11-30" @default.
- W2551246478 creator A5030916311 @default.
- W2551246478 creator A5046623635 @default.
- W2551246478 date "1985-01-01" @default.
- W2551246478 modified "2023-09-24" @default.
- W2551246478 title "An Intuitive Approach to Geometrie Continuity for Parametrie Curves and Surfaees" @default.
- W2551246478 cites W120125598 @default.
- W2551246478 cites W1978165033 @default.
- W2551246478 cites W2031175543 @default.
- W2551246478 cites W2073422063 @default.
- W2551246478 cites W2112165068 @default.
- W2551246478 hasPublicationYear "1985" @default.
- W2551246478 type Work @default.
- W2551246478 sameAs 2551246478 @default.
- W2551246478 citedByCount "0" @default.
- W2551246478 crossrefType "journal-article" @default.
- W2551246478 hasAuthorship W2551246478A5030916311 @default.
- W2551246478 hasAuthorship W2551246478A5046623635 @default.
- W2551246478 hasConcept C102634674 @default.
- W2551246478 hasConcept C105795698 @default.
- W2551246478 hasConcept C118733216 @default.
- W2551246478 hasConcept C134306372 @default.
- W2551246478 hasConcept C138187205 @default.
- W2551246478 hasConcept C161584116 @default.
- W2551246478 hasConcept C199163554 @default.
- W2551246478 hasConcept C2524010 @default.
- W2551246478 hasConcept C2776799497 @default.
- W2551246478 hasConcept C33923547 @default.
- W2551246478 hasConceptScore W2551246478C102634674 @default.
- W2551246478 hasConceptScore W2551246478C105795698 @default.
- W2551246478 hasConceptScore W2551246478C118733216 @default.
- W2551246478 hasConceptScore W2551246478C134306372 @default.
- W2551246478 hasConceptScore W2551246478C138187205 @default.
- W2551246478 hasConceptScore W2551246478C161584116 @default.
- W2551246478 hasConceptScore W2551246478C199163554 @default.
- W2551246478 hasConceptScore W2551246478C2524010 @default.
- W2551246478 hasConceptScore W2551246478C2776799497 @default.
- W2551246478 hasConceptScore W2551246478C33923547 @default.
- W2551246478 hasLocation W25512464781 @default.
- W2551246478 hasOpenAccess W2551246478 @default.
- W2551246478 hasPrimaryLocation W25512464781 @default.
- W2551246478 hasRelatedWork W155018218 @default.
- W2551246478 hasRelatedWork W1557156151 @default.
- W2551246478 hasRelatedWork W159331246 @default.
- W2551246478 hasRelatedWork W1602943529 @default.
- W2551246478 hasRelatedWork W177391181 @default.
- W2551246478 hasRelatedWork W1825388966 @default.
- W2551246478 hasRelatedWork W1991182588 @default.
- W2551246478 hasRelatedWork W2118355331 @default.
- W2551246478 hasRelatedWork W2212674604 @default.
- W2551246478 hasRelatedWork W22444828 @default.
- W2551246478 hasRelatedWork W2384098859 @default.
- W2551246478 hasRelatedWork W2503668925 @default.
- W2551246478 hasRelatedWork W2554165515 @default.
- W2551246478 hasRelatedWork W2594751050 @default.
- W2551246478 hasRelatedWork W2742442948 @default.
- W2551246478 hasRelatedWork W2745295029 @default.
- W2551246478 hasRelatedWork W2913580678 @default.
- W2551246478 hasRelatedWork W3038111559 @default.
- W2551246478 hasRelatedWork W3080928158 @default.
- W2551246478 hasRelatedWork W3162749550 @default.
- W2551246478 isParatext "false" @default.
- W2551246478 isRetracted "false" @default.
- W2551246478 magId "2551246478" @default.
- W2551246478 workType "article" @default.