Zagazig University Digital Repository
Home
Thesis & Publications
All Contents
Publications
Thesis
Graduation Projects
Research Area
Research Area Reports
Search by Research Area
Universities Thesis
ACADEMIC Links
ACADEMIC RESEARCH
Zagazig University Authors
Africa Research Statistics
Google Scholar
Research Gate
Researcher ID
CrossRef
Fast computation of orthogonal Fourier-Mellin moments in polar coordinates
Faculty
Computer Science
Year:
2011
Type of Publication:
Article
Pages:
73-80
Authors:
Hosny, Khalid Mohamed, Shouman, Mohamed A, Salam, Hayam M. Abdel
DOI:
10.1007/s11554-009-0135-z
Journal:
JOURNAL OF REAL-TIME IMAGE PROCESSING SPRINGER HEIDELBERG
Volume:
6
Research Area:
Computer Science; Engineering; Imaging Science \& Photographic Technology
ISSN
ISI:000290543600002
Keywords :
Fourier-Mellin moments, Symmetry property, Fast algorithm, Polar coordinates, Gray-level images
Abstract:
Fast, accurate and memory-efficient method is proposed for computing orthogonal Fourier-Mellin moments. Since the basis polynomials are continuous orthogonal polynomials defined in polar coordinates over a unit disk, the proposed method is applied to polar coordinates where the unit disk is divided into a number of non-overlapping circular rings that are divided into circular sectors of the same area. Each sector is represented by one point in its center. The implementation of this method completely removes both approximation and geometrical errors produced by the conventional methods. Based on the symmetry property, a fast and memory-efficient algorithm is proposed to accelerate the moment's computations. A comparison to conventional methods is performed. Numerical experiments are performed to ensure the efficiency of the proposed method.
Online
PDF
جامعة المنصورة
جامعة الاسكندرية
جامعة القاهرة
جامعة سوهاج
جامعة الفيوم
جامعة بنها
جامعة دمياط
جامعة بورسعيد
جامعة حلوان
جامعة السويس
شراقوة
جامعة المنيا
جامعة دمنهور
جامعة المنوفية
جامعة أسوان
جامعة جنوب الوادى
جامعة قناة السويس
جامعة عين شمس
جامعة أسيوط
جامعة كفر الشيخ
جامعة السادات
جامعة طنطا
جامعة بنى سويف