Multiresolution Hough Transform-An Efficient Method of Detecting Patterns in Images

A new multiresolution coarse-to-fine search algorithm for efficient computation of the Hough transform is proposed. The algorithm uses multiresolution images and parameter arrays. Logarithmic range reduction is proposed to achieve faster convergence. Discretization errors are taken into consideration when accumulating the parameter array. This permits the use of a very simple peak detection algorithm. Comparative results using three peak detection methods are presented. Tests on synthetic and real-world images show that the parameters converge rapidly toward the true value. The errors in rho and theta , as well as the computation time, are much lower than those obtained by other methods. Since the multiresolution Hough transform (MHT) uses a simple peak detection algorithm, the computation time will be significantly lower than other algorithms if the time for peak detection is also taken into account. The algorithm can be generalized for patterns with any number of parameters. >

[1]  Christopher M. Brown Inherent Bias and Noise in the Hough Transform , 1983, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[2]  Edward H. Adelson,et al.  The Laplacian Pyramid as a Compact Image Code , 1983, IEEE Trans. Commun..

[3]  Josef Kittler,et al.  The Adaptive Hough Transform , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[4]  Frans C. A. Groen,et al.  Discretization errors in the Hough transform , 1981, Pattern Recognit..

[5]  Kim L. Boyer,et al.  The laplacian-of-gaussian kernel: A formal analysis and design procedure for fast, accurate convolution and full-frame output , 1989, Comput. Vis. Graph. Image Process..

[6]  Hungwen Li,et al.  Fast Hough transform: A hierarchical approach , 1986, Comput. Vis. Graph. Image Process..

[7]  Tsugito Maruyama,et al.  A Real-Time Processor for the Hough Transform , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[8]  Ching-Chung Li,et al.  A Line Extraction Method for Automated SEM Inspection of VLSI Resist , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Stephen D. Shapiro,et al.  Geometric Constructions for Predicting Hough Transform Performance , 1979, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[10]  Josef Kittler,et al.  A survey of the hough transform , 1988, Comput. Vis. Graph. Image Process..

[11]  Linda G. Shapiro,et al.  A new connected components algorithm for virtual memory computers , 1983, Comput. Vis. Graph. Image Process..