Abstract
In this work we explored class separability in feature spaces built on extended representations of pixel planes (EPP) produced using scale pyramid, subband pyramid, and image transforms. The image transforms included Chebyshev, Fourier, wavelets, gradient, and Laplacian; we also utilized transform combinations, including Fourier, Chebyshev, and wavelets of the gradient transform, as well as Fourier of the Laplacian transform. We demonstrate that all three types of EPP promote class separation. We also explored the effect of EPP on suboptimal feature libraries, using only textural features in one case and only Haralick features in another. The effect of EPP was especially clear for these suboptimal libraries, where the transform-based representations were found to increase separability to a greater extent than scale or subband pyramids. EPP can be particularly useful in new applications where optimal features have not yet been developed.
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Tanimoto S., Pavlidis T.: A hierarchical data structure for picture processing. Comput. Graph. Image Process. 4, 104–119 (1975)
Bourbakis N.G., Klinger A.: A hierarchical picture coding scheme. Pattern Recognit. 22, 317–329 (1989)
Burt P., Adelson E.: The Laplacian pyramid as a compact image code. IEEE Trans. Commun. 31, 532–540 (1983)
Simoncelli E., Adelson E.H.: Subband transforms. In: Woods, J. (eds) Subband Image Coding, Kluwer, Norwell (1991)
Lindeberg T.: Scale-Space Theory in Computer Vision. Kluwer, Norwell (1994)
Freeman W.H., Adelson E.H.: The design and use of steerable filters. IEEE Trans. Pattern Anal. Mach. Intell. 13, 891–906 (1991)
Lowe D.G.: Distinctive image features from scale-invariant keypoints. Int. J. Comput. Vis. 60, 91–110 (2004)
Rosenfeld A.: From image analysis to computer vision: an annotated bibliography 1955–1979. Comput. Vis. Image Underst. 84, 298–324 (2001)
Murphy, K., Torrralba, A., Eaton, D., Freeman, W.: Object detection and localization using local and global featues. In: Lecture Notes in Computer Science, vol. 4170, pp. 382–400 (2006)
Boland M.V., Murphy R.F.: A neural network classifier capable of recognizing the patterns of all major subcellular structures in fluorescence microscope images of HeLa cells. Bioinformatics 17, 1213–1223 (2001)
Murphy R.F.: Automated interpretation of protein subcellular location patterns: implications for early detection and assessment. Ann. N. Y. Acad. Sci. 1020, 124–131 (2004)
Ranzato M., Taylor P.E., House J.M., Flagan R.C., LeCun Y., Perona P.: Automatic recognition of biological particles in microscopic images. Pattern Recognit. Lett. 28, 31–39 (2007)
Orlov, N., Johnston, J., Macura, T., Wolkow, C., Goldberg, I.: Pattern recognition approaches to compute image similarities: application to age related morphological change. In: International Symposium on Biomedical Imaging: From Nano to Macro, Arlington, VA, pp. 1152–1156 (2006)
Johnston J.L., Iser W.B., Chow D.K., Goldberg I.G., Wolkow C.A.: Quantitative image analysis reveals distinct structural transitions during aging in Caenorhabditis elegans tissues. PLOS One 3, e2821 (2008)
Orlov N.V., Chen W.W., Eckley D.M., Macura T.J., Shamir L., Jaffe E.S., Goldberg I.G.: Automatic classification of lymphoma images with transform-based global features. IEEE Trans. Inf. Technol. Biomed. 14, 1003–1013 (2010)
Orlov, N.V., Eckley, D.M., Shamir, L., Goldberg, I.G.: Machine vision for classifying biological and biomedical images. In: Visualization, Imaging and Image Processing. Palma de Mallorca, Spain (2008)
Shamir L., Ling S.M., Scott W., Orlov N., Macura T., Eckley D.M., Ferrucci L., Goldberg I. G.: Knee X-ray image analysis method for automated detection of Osteoarthritis. IEEE Trans. Biomed. Eng. 56, 407–415 (2009)
Shamir, L., Ling, S.M., Scott, W., Hochberg, M., Ferrucci, L., Goldberg, I.G.: Early detection of radiographic knee osteoarthritis using computer-aided analysis. Osteoarthritis Cartilage 17, 1307 (2009)
Shamir L., Ling S., Rahimi S., Ferruccic L., Goldberg I.G.: Biometric identification using knee X-rays. Int. J. Biometrics 1, 365–370 (2009)
Shamir, L., Delaney, J.D., Orlov, N., Eckley, D.M., Goldberg, I.G.: Pattern recognition software and techniques for biological image analysis. PLOS Comput. Biol. 6 (2010)
Gurevich I.B., Koryabkina I.V.: Comparative analysis and classification of features for image models. Pattern Recognit. Image Anal. 16, 265–297 (2006)
Orlov N., Shamir L., Macura T., Johnston J., Eckley D.M., Goldberg I.G.: WND-CHARM: multi-purpose image classification using compound image transforms. Pattern Recognit. Lett. 29, 1684–1693 (2008)
Leung T., Malik J.: Representing and recognizing the visual appearance of materials using three-dimensional textons. Int. J. Comput. Vis. 43, 29–44 (2001)
Crosier M., Griffin L.D.: Using basic image features for texture classification. Int. J. Comput. Vis. 88, 447–460 (2010)
Ojala T., Maenpaa T., Pietikainen M.: Multiresolution grayscale and toration invariant texture classification with local library patterns. IEEE Trans. Pattern Anal. Mach. Intell. 24, 971–987 (2002)
Varma M., Zisserman A.: A statistical approach to material classification using image patch exemplars. IEEE Trans. Pattern Anal. Mach. Intell. 31, 2032–2047 (2009)
Rodenacker K., Bengtsson E.: A feature set for cytometry on digitized microscopic images. Anal. Cell. Pathol. 25, 1–36 (2003)
Lazebnik, S., Schmid, C., Ponce, J.: Beyond bags of features: spatioal pyramid matching for recognizing natural scene categories. In: CVPR, NY, pp. 2169–2178 (2006)
Fukunaga K.: Introduction to Statistical Pattern Recognition, 2nd edn. Academic Press, San Diego (1990)
Vapnik V.N.: Statistical Learninig Theory. Wiley-Interscience, New York (1998)
Duda R., Hart P., Stork D.: Pattern Classification, 2nd edn. Wiley, New York (2001)
Peng H., Long F., Ding C.: Feature selection based on mutual information: criteria of max-dependency, max-relevance, and min-redundancy. IEEE Trans. Pattern Anal. Mach. Intell. 27, 1226–1238 (2005)
Samaria, F., Harter, A.: Parameterization of a stochastic model for human face identification. In: Second IEEE Workshop on Applications of Computer Vision, Saracota, FL, pp. 138–142 (1994)
Belhumeur P.N., Hespanha J.P., Kriegman K.J.: Eigenfaces vs. Fisher-face: recognition using class specific linear projection. IEEE Trans. Pattern Anal. Mach. Intell. 19, 711–720 (1997)
Georghiades A.S., Belhumeur P.N., Kriegman D.J.: From few to many: illumination cone models for face recognition under variable lighting and pose. IEEE Trans. Pattern Anal. Mach. Intell. 23, 643–660 (2001)
Duller A.W.G., Duller G.A.T., France I., Lanb H.F.: A pollen image database for evaluation of automated identification systems. Quat. Newslett. 89, 4–9 (1999)
Boland M., Markey M., Murphy R.: Automated recognition of patterns characteristic of subsellular structures in florescence microscopy images. Cytometry 33, 366–375 (1998)
Shamir L., Macura T., Orlov N., Eckley D.M., Goldberg I.G.: ICBU 2008—a proposed benchmark suite for biological image analysis. Med. Biol. Eng. Comput. 46, 943–947 (2008)
Brodatz P.: Textures. Dover, New York (1966)
Chebira, A., Barbotin, Y., Jackson, C., Merryman, T., Srinvasa, G., Murphy, R.F., Kovacevic, J.: A multiresolution approach to automated classification of protein subcellular location images. BMC Bioinformatics 8, 210 (2007)
Hu M.-K.: Visual pattern recognition by moment invariants. IRE Trans. Inf. Theory 8, 179–187 (1962)
Pavlidis T.: Algorithms for Graphics and Image Processing. Springer, Berlin (1982)
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Orlov, N.V., Eckley, D.M., Shamir, L. et al. Improving class separability using extended pixel planes: a comparative study. Machine Vision and Applications 23, 1047–1058 (2012). https://doi.org/10.1007/s00138-011-0349-5
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DOI: https://doi.org/10.1007/s00138-011-0349-5