2D and 3D image localization,compression and reconstruction using new hybrid moments

In this article, we will present a new set of hybrid polynomials and their corresponding moments, with a view to using them for the localization, compression and reconstruction of 2D and 3D images. These polynomials are formed from the Hahn and Krawtchouk polynomials. The process of calculating these is successfully stabilized using the modified recurrence relations with respect to the n order, the variable x and the symmetry property. The hybrid polynomial generation process is carried out in two forms: the first form contains the separable discrete orthogonal polynomials of Krawtchouk–Hahn (DKHP) and Hahn–Krawtchouk (DHKP). The latter are generated as the product of the discrete orthogonal Hahn and Krawtchouk polynomials, while the second form is the square equivalent of the first form, it consists of discrete squared Krawtchouk–Hahn polynomials (SKHP) and discrete polynomials of Hahn–Krawtchouk squared (SHKP). The experimental results clearly show the efficiency of hybrid moments based on hybrid polynomials in terms of localization property and computation time of 2D and 3D images compared to other types of moments; on the other hand, encouraging results have also been shown in terms of reconstruction quality and compression despite the superiority of classical polynomials.

     

Urogenital tuberculosis. Apropos of 40 cases

The authors report a series of 40 cases of genitourinary tuberculosis diagnosed and treated in the department of urology "B" of Avicenne hospital over a 7-year period. The objective of this study is to define the various diagnostic and therapeutic aspects of this disease. The patients were predominantly males (62.5%) with a mean age of 40 years. 25% of cases reported a history of extra-urinary tuberculosis. The very polymorphous clinical presentation is dominated by signs of cystitis (45%). Intravenous urography is frequently suggestive of the diagnosis based on the appearance and multiplicity of the lesions. The radiological lesions most frequently encountered were silent kidney (19 cases) and small tuberculous bladder (11 cases). The definitive diagnosis was established by pathological examination in 38 cases (biopsies, operative specimens, prostatic resection chips) and/or by demonstration of AFB in 2 cases (urine, pus). Tuberculostatic treatment was administered to all patients, either alone (5 cases) or, more usually, in combination with surgical and/or endo-urological treatment (35 cases), reflecting the magnitude and severity of the destructive and scar lesions.     

Correction to: 2D and 3D image localization,compression and reconstruction using new hybrid moments

Multidimensional Systems and Signal Processing -     

Fast computation of 3D Meixner’s invariant moments using 3D image cuboid representation for 3D image classification

Multimedia Tools and Applications - In this paper, we propose a new fast computation method of 3D discrete orthogonal invariant moments of Meixner. This proposed method is based on two fundamental...     

A new fast algorithm to compute moment 3D invariants of generalized Laguerre modified by fractional-order for pattern recognition

Multidimensional Systems and Signal Processing - Orthogonal moments are the projections of image functions on particular functions of the kernel. They play an essential role in image extraction:...     

Image analysis by Meixner moments and a digital filter

Multimedia Tools and Applications - In this paper, we propose a new method for the rapid calculation of Meixner’s discrete orthogonal moments and its inverses. In this method, we have used...     

Fast computation of Charlier moments and its inverses using Clenshaw’s recurrence formula for image analysis

Multimedia Tools and Applications - In this paper, we propose a new fast way to compute both the image Charlier moments and its inverses using Clenshaw’s recurrence formula. Firstly, we...     

Fast computation of inverse Meixner moments transform using Clenshaw’s formula

Multimedia Tools and Applications - Orthogonal moments are recognized as useful tools for object representation and image analysis. It was shown that they have better image representation...     

Robust zero-watermarking scheme based on novel quaternion radial fractional Charlier moments

Multimedia Tools and Applications - In this paper, we propose a zero-watermarking scheme based on a new set of quaternion moments called Quaternion Radial Fractional Charlier Moments (QRFrCMs) for...     

Robust 2D and 3D images zero - watermarking using dual Hahn moment invariants and Sine Cosine Algorithm

Multimedia Tools and Applications - In this paper, we initially provide significant improvements on the computational aspects of dual Hahn moment invariants (DHMIs) in both 2D and 3D domains. These...