Wavejets: A Local Frequency Framework for Shape Details Amplification. (May 2018)

• Record Type: Journal Article
• Authors: Béarzi, Yohann; Digne, Julie; Chaine, Raphaëlle
• Is Part Of: Computer graphics forum. Volume 37:Number 2(2018)
• Page Start: 13
• Page End: 24
• Publication Date: 2018-05
• Subjects: Categories and Subject Descriptors (according to ACM CCS) -- I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Curve, surface, solid and object representations; Computer graphics -- Periodicals; 006.605
• DOI: 10.1111/cgf.13338
• Languages: English
• ISSNs: 0167-7055

Abstract

Abstract: 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.