Wavejets: A Local Frequency Framework for Shape Details Amplification

Detail enhancement is a well‐studied area of 3D rendering and image processing, which has few equivalents for 3D shape processing. To enhance details, one needs an efficient analysis tool to express the local surface dynamics. We introduce Wavejets, a new function basis for locally decomposing a sha...

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Veröffentlicht in:Computer graphics forum Jg. 37; H. 2; S. 13 - 24
Hauptverfasser: Béarzi, Yohann, Digne, Julie, Chaine, Raphaëlle
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Oxford Blackwell Publishing Ltd 01.05.2018
Wiley
Schlagworte:
Amplification
Categories and Subject Descriptors (according to ACM CCS)
Computational Geometry
Computer Science
Computer Vision and Pattern Recognition
Graphics
I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Curve, surface, solid and object representations
Image enhancement
Image Processing
Surface dynamics
surface
solid and object representations
[Computer Graphics]: Computational Geometry and Object Modeling—Curve
ISSN:0167-7055, 1467-8659
Online-Zugang:Volltext
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Zusammenfassung:Detail enhancement is a well‐studied area of 3D rendering and image processing, which has few equivalents for 3D shape processing. To enhance details, one needs an efficient analysis tool to express the local surface dynamics. We introduce Wavejets, a new function basis for locally decomposing a shape expressed over the local tangent plane, by considering both angular oscillations of the surface around each point and a radial polynomial. We link the Wavejets coefficients to surface derivatives and give theoretical guarantees for their precision and stability with respect to an approximate tangent plane. The coefficients can be used for shape details amplification, to enhance, invert or distort them, by operating either on the surface point positions or on the normals. From a practical point of view, we derive an efficient way of estimating Wavejets on point sets and demonstrate experimentally the amplification results with respect to noise or basis truncation.
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.13338