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

fYear

2009

fDate

5-7 July 2009

Firstpage

1

Lastpage

4

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICDSP.2009.5201245

Filename

5201245