Publication

Colour Interpolants for Polygonal Gradient Meshes

Hettinga, G. J., Brals, R. & Kosinka, J., Oct-2019, In : Computer aided geometric design. 74, 15 p., 101769.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Hettinga, G. J., Brals, R., & Kosinka, J. (2019). Colour Interpolants for Polygonal Gradient Meshes. Computer aided geometric design, 74, [101769]. https://doi.org/10.1016/j.cagd.2019.101769

Author

Hettinga, Gerben J. ; Brals, René ; Kosinka, Jiří. / Colour Interpolants for Polygonal Gradient Meshes. In: Computer aided geometric design. 2019 ; Vol. 74.

Harvard

Hettinga, GJ, Brals, R & Kosinka, J 2019, 'Colour Interpolants for Polygonal Gradient Meshes', Computer aided geometric design, vol. 74, 101769. https://doi.org/10.1016/j.cagd.2019.101769

Standard

Colour Interpolants for Polygonal Gradient Meshes. / Hettinga, Gerben J.; Brals, René; Kosinka, Jiří.

In: Computer aided geometric design, Vol. 74, 101769, 10.2019.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Hettinga GJ, Brals R, Kosinka J. Colour Interpolants for Polygonal Gradient Meshes. Computer aided geometric design. 2019 Oct;74. 101769. https://doi.org/10.1016/j.cagd.2019.101769


BibTeX

@article{9d4b758f926c4839ae843ffccf58c42d,
title = "Colour Interpolants for Polygonal Gradient Meshes",
abstract = "The gradient mesh is a powerful vector graphics primitive capable of representing detailed and scalable images. Borrowing techniques from 3D graphics such as subdivision surfaces and generalised barycentric coordinates, it has been recently extended from its original form supporting only rectangular arrays to (gradient) meshes of arbitrary manifold topology. We investigate and compare several formulations of the polygonal gradient mesh primitive capable of interpolating colour and colour gradients specified at the vertices of a 2D mesh of arbitrary manifold topology. Our study includes the subdivision based, topologically unrestricted gradient meshes (Lieng et al., 2017) and the cubic mean value interpolant (Li et al., 2013), as well as two newly-proposed techniques based on multisided parametric patches building on the Gregory generalised B{\'e}zier patch and the Charrot-Gregory corner interpolator. We adjust these patches from their original geometric 3D setting such that they have the same colour interpolation capabilities as the existing polygonal gradient mesh primitives. We compare all four techniques with respect to visual quality, performance, mathematical continuity, and editability.",
keywords = "Vector graphics, Colour interpolation, Generalised barycentric coordinates, Multisided patches, SURFACES",
author = "Hettinga, {Gerben J.} and Ren{\'e} Brals and Jiř{\'i} Kosinka",
year = "2019",
month = "10",
doi = "10.1016/j.cagd.2019.101769",
language = "English",
volume = "74",
journal = "Computer aided geometric design",
issn = "0167-8396",
publisher = "ELSEVIER SCIENCE BV",

}

RIS

TY - JOUR

T1 - Colour Interpolants for Polygonal Gradient Meshes

AU - Hettinga, Gerben J.

AU - Brals, René

AU - Kosinka, Jiří

PY - 2019/10

Y1 - 2019/10

N2 - The gradient mesh is a powerful vector graphics primitive capable of representing detailed and scalable images. Borrowing techniques from 3D graphics such as subdivision surfaces and generalised barycentric coordinates, it has been recently extended from its original form supporting only rectangular arrays to (gradient) meshes of arbitrary manifold topology. We investigate and compare several formulations of the polygonal gradient mesh primitive capable of interpolating colour and colour gradients specified at the vertices of a 2D mesh of arbitrary manifold topology. Our study includes the subdivision based, topologically unrestricted gradient meshes (Lieng et al., 2017) and the cubic mean value interpolant (Li et al., 2013), as well as two newly-proposed techniques based on multisided parametric patches building on the Gregory generalised Bézier patch and the Charrot-Gregory corner interpolator. We adjust these patches from their original geometric 3D setting such that they have the same colour interpolation capabilities as the existing polygonal gradient mesh primitives. We compare all four techniques with respect to visual quality, performance, mathematical continuity, and editability.

AB - The gradient mesh is a powerful vector graphics primitive capable of representing detailed and scalable images. Borrowing techniques from 3D graphics such as subdivision surfaces and generalised barycentric coordinates, it has been recently extended from its original form supporting only rectangular arrays to (gradient) meshes of arbitrary manifold topology. We investigate and compare several formulations of the polygonal gradient mesh primitive capable of interpolating colour and colour gradients specified at the vertices of a 2D mesh of arbitrary manifold topology. Our study includes the subdivision based, topologically unrestricted gradient meshes (Lieng et al., 2017) and the cubic mean value interpolant (Li et al., 2013), as well as two newly-proposed techniques based on multisided parametric patches building on the Gregory generalised Bézier patch and the Charrot-Gregory corner interpolator. We adjust these patches from their original geometric 3D setting such that they have the same colour interpolation capabilities as the existing polygonal gradient mesh primitives. We compare all four techniques with respect to visual quality, performance, mathematical continuity, and editability.

KW - Vector graphics

KW - Colour interpolation

KW - Generalised barycentric coordinates

KW - Multisided patches

KW - SURFACES

U2 - 10.1016/j.cagd.2019.101769

DO - 10.1016/j.cagd.2019.101769

M3 - Article

VL - 74

JO - Computer aided geometric design

JF - Computer aided geometric design

SN - 0167-8396

M1 - 101769

ER -

ID: 94997629