Non-Oriented MLS Gradient Fields

We introduce a new approach for defining continuous non‐oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that compu...

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Vydáno v:	Computer graphics forum Ročník 32; číslo 8; s. 98 - 109
Hlavní autoři:	Chen, Jiazhou, Guennebaud, Gaël, Barla, Pascal, Granier, Xavier
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Oxford Blackwell Publishing Ltd 01.12.2013 Wiley
Témata:	Analysis and systems Approximation Computer graphics Computer Science curves and surfaces Graphics I.3.3 [Computer Graphics]: Picture/Image Generation-Display algorithms I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Geometric algorithms I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling—Geometric algorithms, languages, and systems Image Processing languages Studies surface reconstruction Image Processing Surface Reconstruction Curves and Surfaces
ISSN:	0167-7055, 1467-8659
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Popis
Shrnutí:	We introduce a new approach for defining continuous non‐oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that computes higher‐order local approximations of non‐oriented input gradients. In particular, we show that our novel isotropic linear approximation outperforms its lower‐order alternative: surface or image structures are much better preserved, and instabilities are significantly reduced. Thanks to its ease of implementation (on both CPU and GPU) and small performance overhead, we believe our approach will find a widespread use in graphics applications, as demonstrated by the variety of our results. We introduce a new approach for defining continuous non‐oriented gradient fields from discrete inputs, a fundamental stage for a variety of computer graphics applications such as surface or curve reconstruction, and image stylization. Our approach builds on a moving least square formalism that computes higher‐order local approximations of non‐oriented input gradients. In particular, we show that our novel isotropic linear approximation outperforms its lower‐order alternative: surface or image structures are much better preserved, and instabilities are significantly reduced.
Bibliografie:	ark:/67375/WNG-ZKM3GM7J-1 National Natural Science Foundation of China - No. 61303138 Supplementary Video S1.Supplimental result images. ANR DRAO project - No. 12-JS02-003 01 ANR SeARCH project - No. ANR-09-CORD-019 istex:BF79EBF90C9000A36DE30AA81E7F214862FC0FFC ArticleID:CGF12164 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23
ISSN:	0167-7055 1467-8659
DOI:	10.1111/cgf.12164