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Title: Complex composite derivative and its application to edge detection
Authors: Pan, Xiang
Ye, Yongqiang
Wang, Jianhong
Gao, Xudong
He, Chun
Wang, Danwei
Jiang, Bin
Li, Lihua
Keywords: DRNTU::Engineering::Computer science and engineering::Computing methodologies::Image processing and computer vision
Issue Date: 2014
Source: Pan, X., Ye, Y., Wang, J., Gao, X., He, C., Wang, D., et al. (2014). Complex composite derivative and its application to edge detection. SIAM journal on imaging sciences, 7(4), 2807-2832.
Series/Report no.: SIAM journal on imaging sciences
Abstract: In this paper, a detailed study on a composite derivative is performed. The composite derivative, which is formed from the combination of fractional integration and derivative and performs a $90^\circ$ phase shift as the traditional first derivative does, is applied to edge detection and the results are analyzed, emphasizing the compromise ability between selectivity and noise suppression. Both objective and subjective comparisons with other edge detectors are carried out, including evaluations through the use of the benchmark Berkeley Segmentation Dataset (BSDS500). In contrast with the classical first-order derivative, the composite derivative is order-steerable; one can adjust the orders of fractional integration and derivative to tune magnitude characteristic and reach a compromise between sensitivity to noise and detection accuracy.
ISSN: 1936-4954
DOI: 10.1137/130947908
Schools: School of Electrical and Electronic Engineering 
Rights: © 2014 Society for Industrial and Applied Mathematics. This paper was published in SIAM Journal on Imaging Sciences and is made available as an electronic reprint (preprint) with permission of Society for Industrial and Applied Mathematics. The paper can be found at the following official DOI: [].  One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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