The distinctiveness of a curve in a parameterized neighborhood: extraction and applications

A new feature of curves pertaining to the acceptance/rejection decision in curve detection is proposed. The feature measures a curve's distinctiveness in its neighborhood, which is modeled by a one-parameter family of curves. A computational framework based on the Hough transform for extracting the distinctiveness feature is elaborated and examples of feature extractors for the circle and the ellipse are given. It is shown that the proposed feature can be extracted efficiently and is effective in separating signals from false positives. Experimental results with circle and ellipse testing that strongly support the efficiency and effectiveness claims are obtained. The results further demonstrate that the proposed feature exhibits good noise resiliency

[1]  W. C. Graustein,et al.  Introduction to higher geometry , 1933 .

[2]  Richard O. Duda,et al.  Use of the Hough transformation to detect lines and curves in pictures , 1972, CACM.

[3]  Robert C. Bolles,et al.  Parametric Correspondence and Chamfer Matching: Two New Techniques for Image Matching , 1977, IJCAI.

[4]  Robert C. Bolles,et al.  Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography , 1981, CACM.

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

[6]  Guido Gerig,et al.  FAST CONTOUR IDENTIFICATION THROUGH EFFICIENT HOUGH TRANSFORM AND SIMPLIFIED INTERPRETATION STRATEGY. , 1986 .

[7]  Gunilla Borgefors,et al.  Hierarchical Chamfer Matching: A Parametric Edge Matching Algorithm , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[8]  Erkki Oja,et al.  A new curve detection method: Randomized Hough transform (RHT) , 1990, Pattern Recognit. Lett..

[9]  W. Eric L. Grimson,et al.  On the Sensitivity of the Hough Transform for Object Recognition , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  V. F. Leavers,et al.  Which Hough transform , 1993 .

[11]  Daniel P. Huttenlocher,et al.  Comparing Images Using the Hausdorff Distance , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  M. Levine,et al.  Extracting geometric primitives , 1993 .

[13]  Josef Kittler,et al.  Hypothesis Testing: A Framework for Analyzing and Optimizing Hough Transform Performance , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[14]  Samuel C. Lee,et al.  A new method for quadratic curve detection using K-RANSAC with acceleration techniques , 1995, Pattern Recognit..

[15]  Andrew F. Laine,et al.  Circle recognition through a 2D Hough Transform and radius histogramming , 1999, Image Vis. Comput..

[16]  Naoki Saito,et al.  A Method to Detect and Characterize Ellipses Using the Hough Transform , 1999, IEEE Trans. Pattern Anal. Mach. Intell..

[17]  Markus Vincze,et al.  Robust tracking of ellipses at frame rate , 2001, Pattern Recognit..

[18]  Shigeo Abe DrEng Pattern Classification , 2001, Springer London.

[19]  Qiang Ji,et al.  A new efficient ellipse detection method , 2002, Object recognition supported by user interaction for service robots.

[20]  Narendra Ahuja,et al.  Detecting Faces in Images: A Survey , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[21]  Björn Stenger,et al.  Shape context and chamfer matching in cluttered scenes , 2003, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings..

[22]  Roger Sauter,et al.  Introduction to Probability and Statistics for Engineers and Scientists , 2005, Technometrics.