Line Pattern Retrieval Using Relational Histograms

This paper presents a new compact shape representation for retrieving line-patterns from large databases. The basic idea is to exploit both geometric attributes and structural information to construct a shape histogram. We realize this goal by computing the N-nearest neighbor graph for the lines-segments for each pattern. The edges of the neighborhood graphs are used to gate contributions to a two-dimensional pairwise geometric histogram. Shapes are indexed by searching for the line-pattern that maximizes the cross correlation of the normalized histogram bin-contents. We evaluate the new method on a database containing over 2,500 line-patterns each composed of hundreds of lines.

[1]  W. Eric L. Grimson,et al.  Localizing Overlapping Parts by Searching the Interpretation Tree , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[2]  Frank C. D. Tsai Geometric hashing with line features , 1994, Pattern Recognit..

[3]  Michael J. Swain,et al.  Interactive indexing into image databases , 1993, Electronic Imaging.

[4]  Václav Hlaváč,et al.  Properties of Local Geometric Constraints , 1991 .

[5]  Alistair J. Bray Properties of Local Geometric Constraints , 1991, BMVC.

[6]  William J. Christmas,et al.  Structural Matching in Computer Vision Using Probabilistic Relaxation , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  Edwin R. Hancock,et al.  Structural Matching by Discrete Relaxation , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[8]  M. S. Costa,et al.  Scene analysis using appearance-based models and relational indexing , 1995, Proceedings of International Symposium on Computer Vision - ISCV.

[9]  Gérard G. Medioni,et al.  Structural Indexing: Efficient 3-D Object Recognition , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  Neil A. Thacker,et al.  Assessing the completeness properties of pairwise geometric histograms , 1995, Image Vis. Comput..

[11]  Radu Horaud,et al.  Polyhedral object recognition by indexing , 1995, Pattern Recognit..

[12]  Y. C. Hecker,et al.  On Geometric Hashing and the Generalized Hough Transform , 1994, IEEE Trans. Syst. Man Cybern. Syst..

[13]  Timothy F. Cootes,et al.  Active Shape Model Search using Pairwise Geometric Histograms , 1996, BMVC.

[14]  K. Boyer,et al.  Organizing Large Structural Modelbases , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  Michael J. Swain,et al.  The capacity of color histogram indexing , 1994, 1994 Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[16]  Gérard G. Medioni,et al.  Structural Indexing: Efficient 2D Object Recognition , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[17]  Esther M. Arkin,et al.  An efficiently computable metric for comparing polygonal shapes , 1991, SODA '90.

[18]  Leonidas J. Guibas,et al.  A metric for distributions with applications to image databases , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[19]  Neil A. Thacker,et al.  The Use of Geometric Histograms for Model-Based Object Recognition , 1993, BMVC.

[20]  Benoit Huet,et al.  Graph Matching for Shape Retrieval , 1998, NIPS.

[21]  Georgy L. Gimel'farb,et al.  On retrieving textured images from an image database , 1996, Pattern Recognit..