Abstract
The region covariance descriptors have recently become a popular method for detection and tracking of objects in an image. However, these descriptors are not suitable for classification of images with heterogeneous contents. In this paper, we present an image-level descriptor obtained using an affine-invariant geodesic mean of region covariance descriptors on the Riemannian manifold of symmetric positive definite (SPD) matrices. The resulting image descriptors are also SPD matrices, lending themselves to tractable geodesic distance based k-nearest neighbour classification using efficient kernels. We show that the proposed descriptor yields high classification accuracy on a challenging problem of nuclear pleomorphism scoring in breast cancer histology images.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Elston, C., Ellis, I.: Pathological prognostic factors in breast cancer. I. The value of histological grade in breast cancer: experience from a large study with long-term follow-up. Histopathology 19(5), 403–410 (1991)
Cosatto, E., Miller, M., Graf, H.P., Meyer, J.S.: Grading nuclear pleomorphism on histological micrographs. In: International Conference on Pattern Recognition, pp. 1–4. IEEE (2008)
Dalle, J.-R., Li, H., Huang, C.-H., Leow, W.K., Racoceanu, D., Putti, T.C.: Nuclear pleomorphism scoring by selective cell nuclei detection. In: Workshop on Applied Computing & Visualization. IEEE (2009)
Tuzel, O., Porikli, F., Meer, P.: Region covariance: A fast descriptor for detection and classification. In: Leonardis, A., Bischof, H., Pinz, A. (eds.) ECCV 2006. LNCS, vol. 3952, pp. 589–600. Springer, Heidelberg (2006)
Vlachokosta, A.A., Asvestas, P.A., Matsopoulos, G.K., Kondi-Pafiti, A., Vlachos, N.: Classification of histological images of the endometrium using texture features. Analytical and Quantitative Cytology and Histology 35(2), 105–113 (2013)
Pennec, X., Fillard, P., Ayache, N.: A Riemannian framework for tensor computing. International Journal of Computer Vision 66(1), 41–66 (2006)
Arsigny, V., Fillard, P., Pennec, X., Ayache, N.: Geometric means in a novel vector space structure on symmetric positive-definite matrices. SIAM Journal on Matrix Analysis and Applications 29(1), 328–347 (2007)
Sra, S.: A new metric on the manifold of kernel matrices with application to matrix geometric means. In: NIPS, pp. 144–152 (2012)
Khan, A.M., Rajpoot, N., Treanor, D., Magee, D.: A non-linear mapping approach to stain normalisation in digital histopathology images using image-specific colour deconvolution. IEEE Transactions on Biomedical Engineering 61(6), 1729–1738 (2014)
Khan, A.M., El-Daly, H., Rajpoot, N.: RanPEC: Random projections with ensemble clustering for segmentation of tumor areas in breast histology images. In: Medical Image Understanding and Analysis, pp. 17–23 (2012)
Khan, A.M., El-Daly, H., Simmons, E., Rajpoot, N.M.: HyMaP: A hybrid magnitude-phase approach to unsupervised segmentation of tumor areas in breast cancer histology images. Journal of Pathology Informatics 4(2) (2013)
Sirinukunwattana, K., Khan, A.M., Rajpoot, N.: Cell Words: Modelling the visual appearance of cells in histopathology images. In: Computerized Medical Imaging and Graphics (2014)
Khan, A.M., Mohammed, A.F., Al-Hajri, S.A., Shamari, H.M.A., Qidwai, U., Mujeeb, I., Rajpoot, N.M.: A novel system for scoring of hormone receptors in breast cancer histopathology slides. In: 2014 Middle East Conference on Biomedical Engineering (MECBME), pp. 155–158. IEEE (2014)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Khan, A.M., Sirinukunwattana, K., Rajpoot, N. (2014). Geodesic Geometric Mean of Regional Covariance Descriptors as an Image-Level Descriptor for Nuclear Atypia Grading in Breast Histology Images. In: Wu, G., Zhang, D., Zhou, L. (eds) Machine Learning in Medical Imaging. MLMI 2014. Lecture Notes in Computer Science, vol 8679. Springer, Cham. https://doi.org/10.1007/978-3-319-10581-9_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-10581-9_13
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10580-2
Online ISBN: 978-3-319-10581-9
eBook Packages: Computer ScienceComputer Science (R0)