Some aspects of fractional-order circular moments for image analysis

Vargas-Vargas, Horlando; Camacho-Bello, César; Rivera-López, José S.; Noriega-Escamilla, Alicia

doi:10.1016/j.patrec.2021.06.006

Cited by 5 publications

(1 citation statement)

References 21 publications

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“…Hosny et al [26] created a set of fractional-order shifted Gegenbauer moments (FrSGMs) for image understanding and recognition. Horlando et al [27] adopted fractional-order circular moments to solve some problems in image analysis. Guo et al [28] introduced the Fractional-Order Fish Migration Optimization algorithm, which provides an optimal solution that can easily skip the whole order speed by using a new position generation strategy based on a global optimal solution.…”

Section: Introductionmentioning

confidence: 99%

Recognition of 3D Images by Fusing Fractional-Order Chebyshev Moments and Deep Neural Networks

Gao,

Zhang,

Zhao

et al. 2024

Sensors

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In order to achieve efficient recognition of 3D images and reduce the complexity of network parameters, we proposed a novel 3D image recognition method combining deep neural networks with fractional-order Chebyshev moments. Firstly, the fractional-order Chebyshev moment (FrCM) unit, consisting of Chebyshev moments and the three-term recurrence relation method, is calculated separately using successive integrals. Next, moment invariants based on fractional order and Chebyshev moments are utilized to achieve invariants for image scaling, rotation, and translation. This design aims to enhance computational efficiency. Finally, the fused network embedding the FrCM unit (FrCMs-DNNs) extracts depth features to analyze the effectiveness from the aspects of parameter quantity, computing resources, and identification capability. Meanwhile, the Princeton Shape Benchmark dataset and medical images dataset are used for experimental validation. Compared with other deep neural networks, FrCMs-DNNs has the highest accuracy in image recognition and classification. We used two evaluation indices, mean square error (MSE) and peak signal-to-noise ratio (PSNR), to measure the reconstruction quality of FrCMs after 3D image reconstruction. The accuracy of the FrCMs-DNNs model in 3D object recognition was assessed through an ablation experiment, considering the four evaluation indices of accuracy, precision, recall rate, and F1-score.

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Section: Introductionmentioning

confidence: 99%