A quad-tree approach to image segmentation which combines statistical and spatial information

Abstract A new approach to the problem of image segmentation is presented. By combining a nonparametric classifier, based on a clustering algorithm, with a quad-tree representation of the image, the scheme is both simple to implement and performs well, giving satisfactory results at signal-to-noise ratios well below 1. The results of an analysis of the algorithm are borne out by a comprehensive set of tests on Gaussian images and synthetic textures, which demonstrate its principal features.

[1]  Geoffrey H. Ball,et al.  ISODATA, A NOVEL METHOD OF DATA ANALYSIS AND PATTERN CLASSIFICATION , 1965 .

[2]  Hanan Samet,et al.  Region representation: quadtrees from boundary codes , 1980, CACM.

[3]  H. Elliott,et al.  Stochastic boundary estimation and object recognition , 1980 .

[4]  Roland Wilson,et al.  The Uncertainty Principle in Image Processing , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  Robert M. Hawlick Statistical and Structural Approaches to Texture , 1979 .

[6]  佐藤 孝紀,et al.  A Hierarchical Data Structure for Picture Processing , 1976 .

[7]  Michael Shneier,et al.  Linear Time Calculations of Geometric Properties Using Quadtrees , 1979 .

[8]  R.M. Haralick,et al.  Statistical and structural approaches to texture , 1979, Proceedings of the IEEE.

[9]  G.B. Coleman,et al.  Image segmentation by clustering , 1979, Proceedings of the IEEE.

[10]  Richard O. Duda,et al.  Pattern classification and scene analysis , 1974, A Wiley-Interscience publication.

[11]  Roland Wilson A Class of Local Centroid Algorithms for Classification and Quantization in Spaces of Arbitrary Dimension , 1983 .

[12]  Hans Knutsson,et al.  The Operational Definition of the Position of Line and Edge , 1982 .

[13]  Azriel Rosenfeld,et al.  Segmentation and Estimation of Image Region Properties through Cooperative Hierarchial Computation , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[14]  Nasser E. Nahi,et al.  Image Boundary Estimation , 1977, IEEE Transactions on Computers.