Subpixel edge detection of color images by principal axis analysis and moment-preserving principle

This paper discusses a new approach for detecting edges with sub-pixel accuracy in color images using the principal axis analysis and the moment-preserving principle. First, the principal axis of the color vectors in a three-dimensional space is obtained analytically for each image block. Based on the projection scores, the direction of the line edge is obtained by analyzing the three-dimensional principal axis of a color image block. Next, by preserving some spatial color moments of the pixels of each square block, analytic formulas are derived to extract the edge feature. Experiments on both synthetic and real images show that the accuracy of the proposed method is comparable to other color edge detectors. The proposed algorithm can be performed very fast for real-time applications with no need for special hardware.

[1]  Y. Shan,et al.  Sub-pixel location of edges with non-uniform blurring: a finite closed-form approach , 2000 .

[2]  Ling-Hwei Chen,et al.  Moment-preserving curve detection , 1988, IEEE Trans. Syst. Man Cybern..

[3]  Svetha Venkatesh,et al.  Modeling Edges at Subpixel Accuracy Using the Local Energy Approach , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Jean-Philippe Thiran,et al.  PCA in autocorrelation space , 2002, Object recognition supported by user interaction for service robots.

[5]  Steven W. Zucker,et al.  Local Scale Control for Edge Detection and Blur Estimation , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[6]  Anil K. Jain Fundamentals of Digital Image Processing , 2018, Control of Color Imaging Systems.

[7]  Guner S. Robinson Color Edge Detection , 1977 .

[8]  Ja-Chen Lin,et al.  Color image sharpening by moment-preserving technique , 1995, Signal Process..

[9]  Shyi-Chyi Cheng Content-based image retrieval using moment-preserving edge detection , 2003, Image Vis. Comput..

[10]  Gérard G. Medioni,et al.  Detection of Intensity Changes with Subpixel Accuracy Using Laplacian-Gaussian Masks , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[11]  Dimitris Anastassiou,et al.  Subpixel edge localization and the interpolation of still images , 1995, IEEE Trans. Image Process..

[12]  Sugata Ghosal,et al.  Orthogonal moment operators for subpixel edge detection , 1993, Pattern Recognit..

[13]  Wen-Hsiang Tsai,et al.  Moment-preserving corner detection , 1990, Pattern Recognit..

[14]  Shyi-Chyi Cheng,et al.  Image compression by moment-preserving edge detection , 1994, Pattern Recognit..

[15]  Panos E. Trahanias,et al.  Vector order statistics operators as color edge detectors , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[16]  Hsien-Che Lee,et al.  Detecting boundaries in a vector field , 1991, IEEE Trans. Signal Process..

[17]  I.E. Abdou,et al.  Quantitative design and evaluation of enhancement/thresholding edge detectors , 1979, Proceedings of the IEEE.

[18]  Mongi A. Abidi,et al.  Fusion Of Edge Maps In Color Images , 1988, Other Conferences.

[19]  John P. Oakley,et al.  Efficient method for finding the position of object boundaries to sub-pixel precision , 1991, Image Vis. Comput..

[20]  Wen-Hsiang Tsai,et al.  Moment-preserving thresolding: A new approach , 1985, Comput. Vis. Graph. Image Process..

[21]  William K. Pratt,et al.  Digital image processing (2nd ed.) , 1991 .

[22]  Augusto Sarti,et al.  Estimation and Compensation of Subpixel Edge Localization Error , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[23]  Soo-Chang Pei,et al.  Color image processing by using binary quaternion-moment-preserving thresholding technique , 1999, IEEE Trans. Image Process..

[24]  Owen Robert Mitchell,et al.  Edge Location to Subpixel Values in Digital Imagery , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[25]  Jacob Scharcanski,et al.  Edge detection of color images using directional operators , 1997, IEEE Trans. Circuits Syst. Video Technol..