Ahuja, R.K., Magnanti, T.L., and Orlin, J.B. 1993. *Network Flows*. Prentice Hall: Englewood Cliffs, NJ.

Belongie, S., Carson, C., Greenspan, H., and Malik, J. 1998. Colorand texture-based image segmentation using EM and its application to content-based image retrieval. In *IEEE International Conference on Computer Vision*, Bombay, India. pp. 675–682.

Bentley, J.L. 1975. Multidimensional binary search trees used for associative searching. *Communications of the ACM*, 18:509–517.

Bigün, J. and du Buf, J.M. 1994. N-folded symmetries by complex moments in Gabor space and their application to unsupervised texture segmentation. *IEEE Transactions on Pattern Analysis and Machine Intelligence*, 16(1):80–87.

Bovik, A.C., Clark, M., and Geisler, W.S. 1990. Multichannel texture analysis using localized spatial filters. *IEEE Transactions on Pattern Analysis and Machine Intelligence*, 12(12):55–73.

Bozkaya, T. and Ozsoyoglu, M. 1997. Distance-based indexing for high-dimensional metric spaces. *SIGMOD Record (ACM Special Interest Group on Management of Data)*, 26(2):357–368.

Brodatz, P. 1966. *Textures: A Photographic Album for Artists and Designers*: Dover: New York, NY.

Clarkson, K.L. 1997. Nearest neighbor queries in metric spaces. In *ACM Symposium on the Theory of Computing*, pp. 609–617.

Cover, T.M. and Thomas, J.A. 1991. *Elements of Information Theory*. Wiley Series in Telecommunications. John Wiley & Sons: New York, NY, USA.

Das, M., Riseman, E.M., and Draper, B.A. 1997. FOCUS: Searching for multi-colored objects in a diverse image database. In *Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition*, pp. 756–761.

Daugman, J.D. 1998. Complete discrete 2-d Gabor transforms by neural networks for image analysis and compression. *IEEE Transactions on Acoustics, Speech, and Signal Processing*, 36:1169–1179.

Duda, R.O. and Hart, P.E. 1973. *Pattern Classification and Scene Analysis*. Wiley: New York.

Farrokhnia, F. and Jain, A.K. 1991. A multi-channel filtering approach to texture segmentation. In *Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition*, pp. 364–370.

Field, D.J. 1987. Relations between the statistics of natural images and the response properties of cortical cells. *Journal of the Optical Society of America A*, 4(12):2379–2394.

Gabor, D. 1946. Theory of communication. *The Journal of the Institute of Electrical Engineers, Part III*, 93(21):429–457.

Hafner, J., Sawhney, H.S., Equitz, W., Flickner, M., and Niblack, W. 1995. Efficient color histogram indexing for quadratic form distance functions. *IEEE Transactions on Pattern Analysis and Machine Intelligence*, 17(7):729–735.

Hillier, F.S. and Lieberman, G.J. 1990. *Introduction to Mathematical Programming*. McGraw-Hill, New York, NY.

Hitchcock, F.L. 1941. The distribution of a product from several sources to numerous localities. *J. Math. Phys.*, 20:224–230.

Karmarkar, N. 1984. A new polynomial-time algorithm for linear programming. In *Proceedings of the Sixteenth Annual ACM Symposium on Theory of Computing*, Washington, DC. pp. 302–311.

Klee, V. and Minty, G. 1972. How good is the simplex algorithm. In *Inequalities*, Vol. III, O. Shisha (Ed.). Academic Press: New York, NY, pp. 159–175.

Kullback, S. 1968. *Information Theory and Statistics* Dover: New York, NY.

Liu, F. and Picard, R.W. 1996. Periodicity, directionality, and randomness: Wold features for image modeling and retrieval. *IEEE Transactions on Pattern Analysis and Machine Intelligence*, 18(7):722–733.

Manjunath, B.S. and Ma, W.Y. 1996. Texture features for browsing and retrieval of image data. *IEEE Transactions on Pattern Analysis and Machine Intelligence*, 18(8):837–842.

Nasrabad, N.M. and King, R.A. 1988. Image coding using vector quantization: A review. *IEEE Transactions on Communication*, 36(8):957–971.

Niblack, W., Barber, R., Equitz, W., Flickner, M.D., Glasman, E.H., Petkovic, D., Yanker, P., Faloutsos, C., Taubin, G., and Heights, Y. 1993. Querying images by content, using color, texture, and shape. In *SPIE Conference on Storage and Retrieval for Image and Video Databases*, Vol. 1908, pp. 173–187.

Peleg, S., Werman, M., and Rom, H. 1989. A unified approach to the change of resolution: Space and gray-level. *IEEE Transactions on Pattern Analysis and Machine Intelligence*, 11:739–742.

Poynton, C. 1996. *A Technical Introduction to Digital Video*. John Wiley and Sons, New York, NY.

Puzicha, J., Hofmann, T., and Buhmann, J. 1997. Non-parametric similarity measures for unsupervised texture segmentation and image retrieval. In *Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition*, pp. 267–272.

Rachev, S.T. 1984. The Monge-Kantorovich mass transference problem and its stochastic applications. *Theory of Probability and its Applications*, XXIX(4):647–676.

Russell, E.J. 1969. Extension of Dantzig's algorithm to finding an initial near-optimal basis for the transportation problem. *Operations Research*, 17:187–191.

Shen, H.C. and Wong, A.K.C. 1983. Generalized texture representation and metric. *Computer, Vision, Graphics, and Image Processing*, 23:187–206.

Smith, J.R. 1997. *Integrated Spatial and Feature Image Systems: Retrieval, Analysis and Compression*. Ph.D. Thesis, Columbia University.

Stolfi, J. 1994. Personal communication.

Stricker, M. and Orengo, M. 1995. Similarity of color images. In *SPIE Conference on Storage and Retrieval for Image and Video Databases III*, Vol. 2420, pp. 381–392.

Swain, M.J. and Ballard, D.H. 1991. Color indexing. *International Journal of Computer Vision*, 7(1):11–32.

Tversky, A. 1977. Features of similarity. *Psychological Review*, 84(4):327–352.

Werman, M., Peleg, S., and Rosenfeld, A. 1985. A distance metric for multi-dimensional histograms. *Computer, Vision, Graphics, and Image Processing*, 32:328–336.

Wyszecki, G. and Stiles, W.S. 1982. *Color Science: Concepts and Methods, Quantitative Data and Formulae*. John Wiley and Sons: New York, NY.

Zikan, K. 1990. *The Theory and Applications of Algebraic Metric Spaces*. Ph.D. Thesis, Stanford University.