Title :
An efficient method for the exact computation of Legendre moments of binary images
Author :
Dong, Zhifang ; Zhang, Hui ; Shu, Huazhong
Author_Institution :
Lab. of Image Sci. & Technol., Southeast Univ., Nanjing, China
Abstract :
Legendre moments have been widely used as feature descriptors in image analysis. This paper presents a new approach for the exact computation of Legendre moments of binary images. Using a Green´s formula, the double integral is first transformed into a simple integration along the boundary which is represented by a polygon. We then propose an efficient method for computing the line moments. Comparison with some known algorithms shows that the proposed algorithm is more accurate, and is independent of the slope, so that it is stable in numerical computation.
Keywords :
Green´s function methods; image processing; method of lines; Green formula; Legendre moments; binary images; double integral; feature descriptors; image analysis; line moments; numerical computation; Computational complexity; Computer applications; Image analysis; Image converters; Image processing; Integral equations; Iterative algorithms; Pattern recognition; Piecewise linear techniques; Polynomials; Legendre moments; geometric moments; glop insensitivity; polygon; special triangle;
Conference_Titel :
Digital Signal Processing, 2009 16th International Conference on
Conference_Location :
Santorini-Hellas
Print_ISBN :
978-1-4244-3297-4
Electronic_ISBN :
978-1-4244-3298-1
DOI :
10.1109/ICDSP.2009.5201245
