Generalized anisotropic stratified surface sampling

Quinn, Jonathan Alexander, Langbein, Frank Curd ORCID: https://orcid.org/0000-0002-3379-0323, Lai, Yukun ORCID: https://orcid.org/0000-0002-2094-5680 and Martin, Ralph Robert 2013. Generalized anisotropic stratified surface sampling. IEEE Transactions on Visualization and Computer Graphics 19 (7) , pp. 1143-1157. 10.1109/TVCG.2012.305

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Abstract

We introduce a novel stratified sampling technique for mesh surfaces that gives the user control over sampling density and anisotropy via a tensor field. Our approach is based on sampling space-filling curves mapped onto mesh segments via parametrizations aligned with the tensor field. After a short preprocessing step, samples can be generated in real time. Along with visual examples, we provide rigorous spectral analysis and differential domain analysis of our sampling. The sample distributions are of high quality: they fulfil the blue noise criterion, so have minimal artifacts due to regularity of sampling patterns, and they accurately represent isotropic and anisotropic densities on the plane and on mesh surfaces. They also have low discrepancy, ensuring that the surface is evenly covered.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Publisher:	IEEE
ISSN:	1077-2626
Last Modified:	24 Oct 2022 11:13
URI:	https://orca.cardiff.ac.uk/id/eprint/47332

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