Publication

A bivariate C1 subdivision scheme based on cubic half-box splines

Barendrecht, P., Sabin, M. & Kosinka, J., May-2019, In : Computer aided geometric design. 71, p. 77-89 13 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Barendrecht, P., Sabin, M., & Kosinka, J. (2019). A bivariate C1 subdivision scheme based on cubic half-box splines. Computer aided geometric design, 71, 77-89. https://doi.org/10.1016/j.cagd.2019.04.004

Author

Barendrecht, Pieter ; Sabin, Malcolm ; Kosinka, Jiri. / A bivariate C1 subdivision scheme based on cubic half-box splines. In: Computer aided geometric design. 2019 ; Vol. 71. pp. 77-89.

Harvard

Barendrecht, P, Sabin, M & Kosinka, J 2019, 'A bivariate C1 subdivision scheme based on cubic half-box splines', Computer aided geometric design, vol. 71, pp. 77-89. https://doi.org/10.1016/j.cagd.2019.04.004

Standard

A bivariate C1 subdivision scheme based on cubic half-box splines. / Barendrecht, Pieter; Sabin, Malcolm; Kosinka, Jiri.

In: Computer aided geometric design, Vol. 71, 05.2019, p. 77-89.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Barendrecht P, Sabin M, Kosinka J. A bivariate C1 subdivision scheme based on cubic half-box splines. Computer aided geometric design. 2019 May;71:77-89. https://doi.org/10.1016/j.cagd.2019.04.004


BibTeX

@article{04ee67504eed44359af390e2d17cc941,
title = "A bivariate C1 subdivision scheme based on cubic half-box splines",
abstract = "Among the bivariate subdivision schemes available, spline-based schemes, such as Catmull-Clark and Loop, are the most commonly used ones. These schemes have known continuity and can be evaluated at arbitrary parameter values. In this work, we develop a C-1 spline-based scheme based on cubic half-box splines. Although the individual surface patches are triangular, the associated control net is three-valent and thus consists in general of mostly hexagons. In addition to introducing stencils that can be applied in extraordinary regions of the mesh, we also consider boundaries. Moreover, we show that the scheme exhibits ineffective eigenvectors. Finally, we briefly consider architectural geometry and isogeometric analysis as selected applications.",
keywords = "Bivariate subdivision, Three-valent meshes, Honeycomb scheme, Eigenanalysis, LINEAR INDEPENDENCE, CATMULL-CLARK, SURFACES",
author = "Pieter Barendrecht and Malcolm Sabin and Jiri Kosinka",
year = "2019",
month = may,
doi = "10.1016/j.cagd.2019.04.004",
language = "English",
volume = "71",
pages = "77--89",
journal = "Computer aided geometric design",
issn = "0167-8396",
publisher = "ELSEVIER SCIENCE BV",

}

RIS

TY - JOUR

T1 - A bivariate C1 subdivision scheme based on cubic half-box splines

AU - Barendrecht, Pieter

AU - Sabin, Malcolm

AU - Kosinka, Jiri

PY - 2019/5

Y1 - 2019/5

N2 - Among the bivariate subdivision schemes available, spline-based schemes, such as Catmull-Clark and Loop, are the most commonly used ones. These schemes have known continuity and can be evaluated at arbitrary parameter values. In this work, we develop a C-1 spline-based scheme based on cubic half-box splines. Although the individual surface patches are triangular, the associated control net is three-valent and thus consists in general of mostly hexagons. In addition to introducing stencils that can be applied in extraordinary regions of the mesh, we also consider boundaries. Moreover, we show that the scheme exhibits ineffective eigenvectors. Finally, we briefly consider architectural geometry and isogeometric analysis as selected applications.

AB - Among the bivariate subdivision schemes available, spline-based schemes, such as Catmull-Clark and Loop, are the most commonly used ones. These schemes have known continuity and can be evaluated at arbitrary parameter values. In this work, we develop a C-1 spline-based scheme based on cubic half-box splines. Although the individual surface patches are triangular, the associated control net is three-valent and thus consists in general of mostly hexagons. In addition to introducing stencils that can be applied in extraordinary regions of the mesh, we also consider boundaries. Moreover, we show that the scheme exhibits ineffective eigenvectors. Finally, we briefly consider architectural geometry and isogeometric analysis as selected applications.

KW - Bivariate subdivision

KW - Three-valent meshes

KW - Honeycomb scheme

KW - Eigenanalysis

KW - LINEAR INDEPENDENCE

KW - CATMULL-CLARK

KW - SURFACES

U2 - 10.1016/j.cagd.2019.04.004

DO - 10.1016/j.cagd.2019.04.004

M3 - Article

VL - 71

SP - 77

EP - 89

JO - Computer aided geometric design

JF - Computer aided geometric design

SN - 0167-8396

ER -

ID: 79325654