Splines for Fast-Contracting Polyhedral Control Nets

Erkan Gunpinar; Kȩstutis Karčiauskas; Jörg Peters

doi:10.1016/j.cad.2024.103727

Splines for Fast-Contracting Polyhedral Control Nets

Erkan Gunpinar, Kȩstutis Karčiauskas, Jörg Peters^*

^*Corresponding author for this work

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

Rapid reduction in the number of quad-strips, to accommodate narrower surface passages or reduced shape fluctuation, leads to configurations that challenge existing spline surface constructions. A new spline surface construction for fast contracting polyhedral control-nets delivers good shape. A nestedly refinable construction of piecewise degree (2,4) is compared with a uniform degree (3,3) spline construction.

Original language	English
Article number	103727
Journal	CAD Computer Aided Design
Volume	173
DOIs	https://doi.org/10.1016/j.cad.2024.103727
Publication status	Published - Aug 2024

Bibliographical note

Publisher Copyright:
© 2024

Keywords

Control-net contraction
Geometric continuity
Polyhedral-net spline

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10.1016/j.cad.2024.103727

Cite this

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title = "Splines for Fast-Contracting Polyhedral Control Nets",

abstract = "Rapid reduction in the number of quad-strips, to accommodate narrower surface passages or reduced shape fluctuation, leads to configurations that challenge existing spline surface constructions. A new spline surface construction for fast contracting polyhedral control-nets delivers good shape. A nestedly refinable construction of piecewise degree (2,4) is compared with a uniform degree (3,3) spline construction.",

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AB - Rapid reduction in the number of quad-strips, to accommodate narrower surface passages or reduced shape fluctuation, leads to configurations that challenge existing spline surface constructions. A new spline surface construction for fast contracting polyhedral control-nets delivers good shape. A nestedly refinable construction of piecewise degree (2,4) is compared with a uniform degree (3,3) spline construction.

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KW - Geometric continuity

KW - Polyhedral-net spline

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Splines for Fast-Contracting Polyhedral Control Nets

Abstract

Bibliographical note

Keywords

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