Angle Estimation Using Hahn Moments for Image Analysis

Camacho-Bello, César; Báez-Rojas, José Javier

doi:10.1007/978-3-319-12568-8_16

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2016

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“…In recent years, moments have been successfully used in a variety of research areas such as image registration, 1 face recognition, 2 angle estimation, 3 watermarking, 4 pattern reconstruction, 5 medical imaging, [6][7][8] focus measures, 9 image analysis, 10 forensic applications, 11 gait phase detection, 12 and so forth. In the 1960s, Hu 13 introduced a set of invariants based on the low-order geometric moments for pattern recognition tasks.…”

Section: Introductionmentioning

confidence: 99%

Reconstruction of color biomedical images by means of quaternion generic Jacobi-Fourier moments in the framework of polar pixels

et al. 2016

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Abstract. A detailed analysis of the quaternion generic Jacobi-Fourier moments (QGJFMs) for color image description is presented. In order to reach numerical stability, a recursive approach is used during the computation of the generic Jacobi radial polynomials. Moreover, a search criterion is performed to establish the best values for the parameters α and β of the radial Jacobi polynomial families. Additionally, a polar pixel approach is taken into account to increase the numerical accuracy in the calculation of the QGJFMs. To prove the mathematical theory, some color images from optical microscopy and human retina are used. Experiments and results about color image reconstruction are presented.

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