Orthogonal wavelet moments and their multifractal invariants

Dm. V. Uchaev; D. V. Uchaev; V. A. Malinnikov

doi:10.1117/12.2180706

14 February 2015 Orthogonal wavelet moments and their multifractal invariants

Dm. V. Uchaev, D. V. Uchaev, V. A. Malinnikov

Proceedings Volume 9445, Seventh International Conference on Machine Vision (ICMV 2014); 94450U (2015) https://doi.org/10.1117/12.2180706
Event: Seventh International Conference on Machine Vision (ICMV 2014), 2014, Milan, Italy

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.

Citation Download Citation

Dm. V. Uchaev, D. V. Uchaev, and V. A. Malinnikov "Orthogonal wavelet moments and their multifractal invariants", Proc. SPIE 9445, Seventh International Conference on Machine Vision (ICMV 2014), 94450U (14 February 2015); https://doi.org/10.1117/12.2180706

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