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Proceedings Paper

Orthogonal wavelet moments and their multifractal invariants
Author(s): Dm. V. Uchaev; D. V. Uchaev; V. A. Malinnikov
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Paper Abstract

This paper introduces a new family of moments, namely orthogonal wavelet moments (OWMs), which are orthogonal realization of wavelet moments (WMs). In contrast to WMs with nonorthogonal kernel function, these moments can be used for multiresolution image representation and image reconstruction. The paper also introduces multifractal invariants (MIs) of OWMs which can be used instead of OWMs. Some reconstruction tests performed with noise-free and noisy images demonstrate that MIs of OWMs can also be used for image smoothing, sharpening and denoising. It is established that the reconstruction quality for MIs of OWMs can be better than corresponding orthogonal moments (OMs) and reduces to the reconstruction quality for the OMs if we use the zero scale level.

Paper Details

Date Published: 14 February 2015
PDF: 8 pages
Proc. SPIE 9445, Seventh International Conference on Machine Vision (ICMV 2014), 94450U (14 February 2015); doi: 10.1117/12.2180706
Show Author Affiliations
Dm. V. Uchaev, Moscow State Univ. of Geodesy and Cartography (Russian Federation)
D. V. Uchaev, Moscow State Univ. of Geodesy and Cartography (Russian Federation)
V. A. Malinnikov, Moscow State Univ. of Geodesy and Cartography (Russian Federation)


Published in SPIE Proceedings Vol. 9445:
Seventh International Conference on Machine Vision (ICMV 2014)
Antanas Verikas; Branislav Vuksanovic; Petia Radeva; Jianhong Zhou, Editor(s)

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