A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
A survey of the Hough transform
Computer Vision, Graphics, and Image Processing
CVGIP: Image Understanding
Randomized Hough transform: improved ellipse detection with comparison
Pattern Recognition Letters
Digital Image Processing
An efficient randomized algorithm for detecting circles
Computer Vision and Image Understanding
Introduction to Algorithms
Optimization of an Hough transform algorithm for the search of a center
Pattern Recognition
Algorithm for computer control of a digital plotter
IBM Systems Journal
A high-speed algorithm for elliptical object detection
IEEE Transactions on Image Processing
Minimax partial distortion competitive learning for optimal codebook design
IEEE Transactions on Image Processing
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Recently, Cauchie et al. presented an adaptive Hough transform-based algorithm to successfully solve the center-detection problem which is an important issue in many real-world problems. This paper presents a fast randomized algorithm to solve the same problem. With similar memory requirement and accuracy, the computational complexity analysis and comparison show that our proposed algorithm performs much better in terms of efficiency. We have tested our algorithm on 13 real images. Experimental results indicated that our algorithm has 38% execution-time improvement over Cauchie et al.'s algorithm. The extension of the proposed algorithm to detect multiple centers is also addressed.