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

1 Citation (Scopus)

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.",

keywords = "Control-net contraction, Geometric continuity, Polyhedral-net spline",

author = "Erkan Gunpinar and Kȩstutis Kar{\v c}iauskas and J{\"o}rg Peters",

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year = "2024",

month = aug,

doi = "10.1016/j.cad.2024.103727",

language = "English",

volume = "173",

journal = "CAD Computer Aided Design",

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AU - Gunpinar, Erkan

AU - Karčiauskas, Kȩstutis

AU - Peters, Jörg

PY - 2024/8

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N2 - 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.

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.

KW - Control-net contraction

KW - Geometric continuity

KW - Polyhedral-net spline

UR - https://www.scopus.com/pages/publications/85193543143

U2 - 10.1016/j.cad.2024.103727

DO - 10.1016/j.cad.2024.103727

M3 - Article

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SN - 0010-4485

VL - 173

JO - CAD Computer Aided Design

JF - CAD Computer Aided Design

M1 - 103727

ER -

Splines for Fast-Contracting Polyhedral Control Nets

Abstract

Bibliographical note

Keywords

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