Robust edge detection

Edge detection is an important issue in computer vision and image understanding systems. Most conventional techniques have assumed Gaussian noise, and their performance could decrease with the departure of noise distribution from normality. In this paper, we present an edge detection approach using robust statistics. The edge structure is first detected by a robust one-way design model, and then localized by a robust contrast test. Finally, hysteresis thresholding is applied to yield the output edge map. To evaluate its performance, experiments were carried out on synthetic and real images corrupted with both Gaussian noise and a mixture of Gaussian and impulsive noise. The results show that the performance of the proposed edge detector is stable and reliable under severe impulsive noise conditions.

[1]  Alfredo Restrepo,et al.  Adaptive trimmed mean filters for image restoration , 1988, IEEE Trans. Acoust. Speech Signal Process..

[2]  Rangasami L. Kashyap,et al.  Robust image modeling techniques with an image restoration application , 1988, IEEE Trans. Acoust. Speech Signal Process..

[3]  D Marr,et al.  Theory of edge detection , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[4]  Sudeep Sarkar,et al.  Robust Visual Method for Assessing the Relative Performance of Edge-Detection Algorithms , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[5]  S. Sheather,et al.  Robust Estimation and Testing , 1990 .

[6]  Robert M. Haralick,et al.  Digital Step Edges from Zero Crossing of Second Directional Derivatives , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[7]  N. Nahi,et al.  Bayesian recursive image estimation. , 1972 .

[8]  F. R. Hansen,et al.  Image segmentation using simple markov field models , 1982, Comput. Graph. Image Process..

[9]  R. P. Johnson,et al.  Contrast based edge detection , 1990, Pattern Recognit..

[10]  K. Yuen,et al.  The two-sample trimmed t for unequal population variances , 1974 .

[11]  Qiang Ji,et al.  Efficient facet edge detection and quantitative performance evaluation , 2002, Pattern Recognit..

[12]  JERZY SIUZDAK,et al.  A single filter for edge detection , 1998, Pattern Recognit..

[13]  Fabrizio Russo.  Edge detection in noisy images using fuzzy reasoning , 1998, IEEE Trans. Instrum. Meas..

[14]  Ludwik Kurz,et al.  Analysis of Variance in Statistical Image Processing , 1997 .

[15]  Thomas S. Huang,et al.  Nonparametric tests for edge detection in noise , 1986, Pattern Recognit..

[16]  R. Wilcox.  Introduction to Robust Estimation and Hypothesis Testing , 1997 .

[17]  John F. Canny.  A Variational Approach to Edge Detection , 1983, AAAI.

[18]  Alan L. Yuille,et al.  A regularized solution to edge detection , 1985, J. Complex..

[19]  Amlan Kundu.  Robust edge detection , 1990, Pattern Recognit..

[20]  David Malah,et al.  A study of edge detection algorithms , 1982, Comput. Graph. Image Process..