cvpr cvpr2013 cvpr2013-321 cvpr2013-321-reference knowledge-graph by maker-knowledge-mining

321 cvpr-2013-PDM-ENLOR: Learning Ensemble of Local PDM-Based Regressions


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Author: Yen H. Le, Uday Kurkure, Ioannis A. Kakadiaris

Abstract: Statistical shape models, such as Active Shape Models (ASMs), sufferfrom their inability to represent a large range of variations of a complex shape and to account for the large errors in detection of model points. We propose a novel method (dubbed PDM-ENLOR) that overcomes these limitations by locating each shape model point individually using an ensemble of local regression models and appearance cues from selected model points. Our method first detects a set of reference points which were selected based on their saliency during training. For each model point, an ensemble of regressors is built. From the locations of the detected reference points, each regressor infers a candidate location for that model point using local geometric constraints, encoded by a point distribution model (PDM). The final location of that point is determined as a weighted linear combination, whose coefficients are learnt from the training data, of candidates proposed from its ensemble ’s component regressors. We use different subsets of reference points as explanatory variables for the component regressors to provide varying degrees of locality for the models in each ensemble. This helps our ensemble model to capture a larger range of shape variations as compared to a single PDM. We demonstrate the advantages of our method on the challenging problem of segmenting gene expression images of mouse brain.


reference text

[1] J. Abi-Nahed, M.-P. Jolly, and G.-Z. Yang. Robust active shape models: A robust, generic and simple automatic segmentation tool. In Proc. 9th International Conference on Medical Image Computing and Computer-Assisted Interven- tion - Volume Part II, pages 1–8, Copenhagen, Denmark, Oct. 1-6 2006. 1, 2

[2] M. Amberg, M. Lüthi, and T. Vetter. Local regression based statistical model fitting. In Proc. 32nd DAGM Conference on Pattern Recognition, pages 452–461, Darmstadt, Germany, Sep. 22-24 2010. 1, 2, 6

[3] Y. Appia, B. Ganapathy, and A. Yezzi. Localized principal component analysis based curve evolution: A divide and conquer approach. In Proc. 13th International Conference on Computer Vision, pages 1981–1986, Barcelona, Spain, Nov. 6-13 2011. 2

[4] M. Bello, T. Ju, J. P. Carson, J. Warren, W. Chiu, and I. A. Kakadiaris. Learning-based segmentation framework for tis111888888422

[5]

[6]

[7]

[8] sue images containing gene expression data. IEEE Trans. Med. Imag., 26:728–744, 2007. 5, 6 S. Brecheisen, H. Kriegel, P. Kr˝ oger, M. Pfeifle, M. Schubert, and A. Zimek. Density-based data analysis and similarity search. In V. A. Petrushin and L. Khan, editors, Multimedia Data Mining and Knowledge Discovery, pages 94–1 15. Springer, 2007. 4 J. P. Carson, T. Ju, M. Bello, C. Thaller, J. Warren, I. A. Kakadiaris, W. Chiu, and G. Eichele. Automated pipeline for atlas-based annotation of gene expression patterns: Application to postnatal day 7 mouse brain. Methods, 50:85–95, Aug. 2010. 6 T. Cootes and C. Taylor. Active shape models: smart snakes. In Proc. British Machine Vision Conference, pages 266–275, Leeds, UK, Sep. 22-24 1992. 1 T. Cootes, C. Taylor, D. Cooper, and J. Graham. Active shape

[9]

[10]

[11]

[12]

[13]

[14]

[15] models-their training and application. Computer Vision and Image Understanding, 61(1):38–59, Jan. 1995. 1 T. Cootes and C. J. Taylor. Combining point distribution models with shape models based on finite element analysis. Image and Vision Computing, 13(5):419–428, 1995. 1, 2 C. Davatzikos, X. Tao, and D. Shen. Hierarchical active shape models, using the wavelet transform. IEEE Trans. Med. Imag., 22(3):414 –423, 2003. 1, 2 M. de Bruijne, B. Ginneken, M. Viergever, and W. Niessen. Adapting active shape models for 3D segmentation of tubular structures in medical images. In Proc. 18th Information Processing in Medical Imaging, pages 136–147, Ambleside, United Kingdom, Jul. 20-25 2003. 1, 2 M. Ester, H. P. Kriegel, J. Sander, and X. Xu. A densitybased algorithm for discovering clusters in large spatial databases with noise. In E. Simoudis, J. Han, and U. Fayyad, editors, Proc. 2nd International Conference on Knowledge Discovery and Data Mining, pages 226–23 1, Portland, Oregon, Aug. 2-4 1996. 4 M. Fischler and R. Bolles. Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography. Communications of the Association for Computing Machinery, 24(6):381–395, 198 1. 2 C. Goodall. Procrustes methods in the statistical analysis of shape. Journal of the Royal Statistical Society, 53(2):285– 339, 1991. 4 T. Ju, J. Warren, G. Eichele, C. Thaller, W. Chiu, and J. Carson. A geometric database for gene expression data. In Proc. Eurographics Symposium on Geometry Processing, pages 166–176, Aachen, Germany, Jun. 22 - 25 2003. 3, 5, 6

[16] U. Kurkure, Y. H. Le, N. Paragios, J. P. Carson, T. Ju, and I. A. Kakadiaris. Landmark/image-based deformable registration of gene expression data. In Proc. Computer Vision and Pattern Recognition Conference, pages 1089–1096, Colorado Springs, CO, Jun. 21-23 2011. 1, 2, 3, 7

[17] U. Kurkure, Y. H. Le, N. Paragios, J. P. Carson, T. Ju, and I. A. Kakadiaris. Markov random field-based fitting of a subdivision-based geometric atlas. In Proc. International Conference on Computer Vision, pages 2540–2547, Barcelona, Spain, Nov. 6-13 2011. 5

[18] C. Last, S. Winkelbach, F. Wahl, K. Eichhorn, and F. Bootz. A locally deformable statistical shape model. Machine Learning in Medical Imaging, 7009:5 1–58, 2011. 2

[19] C. Lawson and R. Hanson. Solving Least-Squares Problems. Prentice-Hall, 1974. 6

[20] Y. Le, U. Kurkure, N. Paragios, T. Ju, J. Carson, and I. Kakadiaris. Similarity-based appearance prior for fitting a subdivision mesh in gene expression images. In Proc. 15th International Conference on Medical Image Computing and Computer Assisted Intervention, pages 577–584, Nice, France, Oct. 1-5 2012. 2, 3, 5, 7

[21] K. Lekadir, R. D. Merrifield, and G.-Z. Yang. Outlier detection and handling for robust 3D active shape models search. IEEE Trans. Med. Imag., 26(2):212–222, 2007. 2

[22] M. Loog. Localized maximum entropy shape modelling. In Proc. 20th International Conference on Information Processing in Medical Imaging, pages 619–629, Kerkrade, The Netherlands, Jul. 2-6 2007. 2

[23] F. Maes, A. Collignon, D. Vandermeulen, G. Marchal, and P. Suetens. Multimodality image registration by maximization of mutual information. IEEE Trans. Med. Imag.,

[24]

[25]

[26]

[27]

[28]

[29]

[30] [3 1] 16(2): 187–198, Apr. 1997. 6 D. Nain, S. Haker, A. Bobick, and A. Tannenbaum. Multiscale 3D shape representation and segmentation using spherical wavelets. IEEE Trans. Med. Imag., 26(4):598–618, Apr. 2007. 2 P. Nair and A. Cavallaro. 3D face detection, landmark localization, and registration using a point distribution model. IEEE Trans. Multimedia, 11(4):61 1–623, 2009. 1 Y. Ou and C. Davatzikos. DRAMMS: Deformable registration via attribute matching and mutual-saliency weighting. In Proc. 21st International Conference on Information Processing in Medical Imaging, pages 50–62, Williamsburg, VA, Jul. 5-10 2009. 3 M. Rogers and J. Graham. Robust active shape model search. In Proc. European Conference on Computer Vision, pages 517–530, London, UK, May 27-31 2002. 2 H. A. Sturges. The choice of a class interval. Journal of the American Statistical Association, 21(153):65–66, 1926. 3 P. Yan, S. Xu, B. Turkbey, and J. Kruecker. Discrete deformable model guided by partial active shape model for trus image segmentation. IEEE Trans. Biomed. Eng., 57(5): 1158 –1 166, 2010. 1, 2 S. Zhang, Y. Zhan, M. Dewan, J. Huang, D. N. Metaxas, and X. S. Zhou. Towards robust and effective shape modeling: sparse shape composition. Medical Image Analysis, 16(1):265–277, 2012. 2 Z. Zhao, S. R. Aylward, and E. K. Teoh. A novel 3d partitioned active shape model for segmentation of brain mr images. In Proc. 8th International Conference on Medical Image Computing and Computer Assisted Intervention, pages 221–228, Palm Springs, CA, Oct. 26-30 2005. 1, 2

[32] D. Zhou, D. Petrovska-Delacretaz, and B. Dorizzi. Automatic landmark location with a combined active shape model. In Proc. 3rd International Conference on Biometrics: Theory, Applications, and Systems, 2009., pages 1–7, Washington, DC, Sept. 28-30 2009. 1 111888888533