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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Vydané v:Computer graphics forum Ročník 32; číslo 8; s. 98 - 109
Hlavní autori: Chen, Jiazhou, Guennebaud, Gaël, Barla, Pascal, Granier, Xavier
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Oxford Blackwell Publishing Ltd 01.12.2013
Wiley
Predmet:
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.
Bibliografia: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
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12164