Geometric contact for curves and surfaces

Mazure, Marie-Laurence

doi:10.1016/0167-8396(94)90031-0

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A G 2 -Continuous 5-sided Filling Surface1

A Notion Of Shape-preserving Interpolation In Ir1

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2002

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Cited by 7 publications

(2 citation statements)

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“…We define the classical G 2 -continuity conditions ( [16], [17], [5], [3], [2], [8], [23]) by introducing the following functions (where i = 0, 1) defined on [0, 1] →IR 3 :…”

Section: A G 2 -Continuous 5-sided Filling Surfacementioning

confidence: 99%

Blowing up: application to $G^2$ -continuous 8-sided filling patch

Fiorot

Gibaru

2002

Numerische Mathematik

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“…We define the classical G 2 -continuity conditions ( [16], [17], [5], [3], [2], [8], [23]) by introducing the following functions (where i = 0, 1) defined on [0, 1] →IR 3 :…”

Section: A G 2 -Continuous 5-sided Filling Surfacementioning

confidence: 99%

Blowing up: application to $G^2$ -continuous 8-sided filling patch

Fiorot

Gibaru

2002

Numerische Mathematik

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“…of Q(u) will also be continuous in u 1 ; u N ]. As a consequence the elements of F 3 (U) exhibit Fr enetframe continuity of order 3 (i.e., F 3 -continuity or F 3 -contact; see Mazure (1994)). Furthermore, it can be shown that the continuity assumption (ii) can be replaced by the following matrix equation at the interior parameter nodes :…”

Section: A Notion Of Shape-preserving Interpolation In Irmentioning

confidence: 99%