A population-based tissue probability map-driven level set method for fully automated mammographic density estimations.

PURPOSE A major challenge when distinguishing glandular tissues on mammograms, especially for area-based estimations, lies in determining a boundary on a hazy transition zone from adipose to glandular tissues. This stems from the nature of mammography, which is a projection of superimposed tissues consisting of different structures. In this paper, the authors present a novel segmentation scheme which incorporates the learned prior knowledge of experts into a level set framework for fully automated mammographic density estimations. METHODS The authors modeled the learned knowledge as a population-based tissue probability map (PTPM) that was designed to capture the classification of experts' visual systems. The PTPM was constructed using an image database of a selected population consisting of 297 cases. Three mammogram experts extracted regions for dense and fatty tissues on digital mammograms, which was an independent subset used to create a tissue probability map for each ROI based on its local statistics. This tissue class probability was taken as a prior in the Bayesian formulation and was incorporated into a level set framework as an additional term to control the evolution and followed the energy surface designed to reflect experts' knowledge as well as the regional statistics inside and outside of the evolving contour. RESULTS A subset of 100 digital mammograms, which was not used in constructing the PTPM, was used to validate the performance. The energy was minimized when the initial contour reached the boundary of the dense and fatty tissues, as defined by experts. The correlation coefficient between mammographic density measurements made by experts and measurements by the proposed method was 0.93, while that with the conventional level set was 0.47. CONCLUSIONS The proposed method showed a marked improvement over the conventional level set method in terms of accuracy and reliability. This result suggests that the proposed method successfully incorporated the learned knowledge of the experts' visual systems and has potential to be used as an automated and quantitative tool for estimations of mammographic breast density levels.

[1]  V. McCormack,et al.  Breast Density and Parenchymal Patterns as Markers of Breast Cancer Risk: A Meta-analysis , 2006, Cancer Epidemiology Biomarkers & Prevention.

[2]  Robert Marti,et al.  A Novel Breast Tissue Density Classification Methodology , 2008, IEEE Transactions on Information Technology in Biomedicine.

[3]  Carri K Glide-Hurst,et al.  A new method for quantitative analysis of mammographic density. , 2007, Medical physics.

[4]  Tony F. Chan,et al.  Active contours without edges , 2001, IEEE Trans. Image Process..

[5]  E. Parzen On Estimation of a Probability Density Function and Mode , 1962 .

[6]  P. Narula MAMMOGRAPHIC DENSITY AND THE RISK AND DETECTION OF BREAST CANCER , 2016 .

[7]  J. Wolfe Risk for breast cancer development determined by mammographic parenchymal pattern , 1976, Cancer.

[8]  Nico Karssemeijer,et al.  Automatic breast density segmentation: an integration of different approaches , 2011, Physics in medicine and biology.

[9]  John J Heine,et al.  Effective x-ray attenuation measurements with full field digital mammography. , 2006, Medical physics.

[10]  Rachid Deriche,et al.  Geodesic Active Regions and Level Set Methods for Supervised Texture Segmentation , 2002, International Journal of Computer Vision.

[11]  George Davey Smith,et al.  Breast composition measurements using retrospective standard mammogram form (SMF) , 2006, Digital Mammography / IWDM.

[12]  Tuenchit Khamapirad,et al.  Computing mammographic density from a multiple regression model constructed with image-acquisition parameters from a full-field digital mammographic unit , 2007, Physics in medicine and biology.

[13]  L. Habel,et al.  Mammographic Density and Risk of Second Breast Cancer after Ductal Carcinoma In situ , 2010, Cancer Epidemiology, Biomarkers & Prevention.

[14]  John J Heine,et al.  A quantitative description of the percentage of breast density measurement using full-field digital mammography. , 2011, Academic radiology.

[15]  Yan Wang,et al.  Adaptive Multi-cluster Fuzzy C-Means Segmentation of Breast Parenchymal Tissue in Digital Mammography , 2011, MICCAI.

[16]  Nico Karssemeijer,et al.  Robust breast composition measurement - Volpara™ , 2010 .

[17]  S. Cummings,et al.  Single x-ray absorptiometry method for the quantitative mammographic measure of fibroglandular tissue volume. , 2009, Medical physics.

[18]  Heang-Ping Chan,et al.  Mammographic density measured with quantitative computer-aided method: comparison with radiologists' estimates and BI-RADS categories. , 2006, Radiology.

[19]  M. Yaffe Mammographic density. Measurement of mammographic density , 2008, Breast Cancer Research.

[20]  Ann-Katherine Carton,et al.  Breast percent density: estimation on digital mammograms and central tomosynthesis projections. , 2009, Radiology.

[21]  James J Dignam,et al.  Mammographic density and breast cancer after ductal carcinoma in situ. , 2004, Journal of the National Cancer Institute.

[22]  John J Heine,et al.  Cumulative sum quality control for calibrated breast density measurements. , 2009, Medical physics.

[23]  N. Boyd,et al.  Breast tissue composition and susceptibility to breast cancer. , 2010, Journal of the National Cancer Institute.

[24]  S. Ashley,et al.  The effect of Premium View post-processing software on digital mammographic reporting. , 2010, The British journal of radiology.

[25]  Xavier Lladó,et al.  A Statistical Approach for Breast Density Segmentation , 2010, Journal of Digital Imaging.

[26]  Klaus D. Tönnies,et al.  Prior Shape Level Set Segmentation on Multistep Generated Probability Maps of MR Datasets for Fully Automatic Kidney Parenchyma Volumetry , 2012, IEEE Transactions on Medical Imaging.

[27]  D. Mumford,et al.  Optimal approximations by piecewise smooth functions and associated variational problems , 1989 .

[28]  Tulin Cil,et al.  Mammographic density and the risk of breast cancer recurrence after breast‐conserving surgery , 2009, Cancer.

[29]  Nico Karssemeijer,et al.  Robust Breast Composition Measurement - VolparaTM , 2010, Digital Mammography / IWDM.

[30]  B. Keller,et al.  Estimation of breast percent density in raw and processed full field digital mammography images via adaptive fuzzy c-means clustering and support vector machine segmentation. , 2012, Medical physics.

[31]  C. D. Kemp,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[32]  Dimitris N. Metaxas,et al.  Deformable segmentation via sparse representation and dictionary learning , 2012, Medical Image Anal..

[33]  T. Sellers,et al.  Breast Imaging Reporting and Data System (BI-RADS) breast composition descriptors: automated measurement development for full field digital mammography. , 2013, Medical physics.

[34]  Ann-Katherine Carton,et al.  A Comparative Study of the Inter-reader Variability of Breast Percent Density Estimation in Digital Mammography: Potential Effect of Reader's Training and Clinical Experience , 2010, Digital Mammography / IWDM.

[35]  N. Boyd,et al.  The quantitative analysis of mammographic densities. , 1994, Physics in medicine and biology.

[36]  B. V. VON Schoultz,et al.  Mammographic breast density during hormone replacement therapy: differences according to treatment. , 1999, American journal of obstetrics and gynecology.

[37]  J J Heine,et al.  A statistical methodology for mammographic density detection. , 2000, Medical physics.

[38]  N Karssemeijer,et al.  Automated classification of parenchymal patterns in mammograms. , 1998, Physics in medicine and biology.

[39]  S. Osher,et al.  Algorithms Based on Hamilton-Jacobi Formulations , 1988 .

[40]  Dev P. Chakraborty,et al.  Breast tissue density quantification via digitized mammograms , 2001, IEEE Transactions on Medical Imaging.

[41]  Gina R Petroni,et al.  Accuracy of assigned BI-RADS breast density category definitions. , 2006, Academic radiology.

[42]  J. Kaufhold,et al.  A calibration approach to glandular tissue composition estimation in digital mammography. , 2002, Medical physics.

[43]  Nico Karssemeijer,et al.  Volumetric breast density estimation from full-field digital mammograms , 2006, IEEE Trans. Medical Imaging.

[44]  K. Kerlikowske,et al.  Variability and accuracy in mammographic interpretation using the American College of Radiology Breast Imaging Reporting and Data System. , 1998, Journal of the National Cancer Institute.

[45]  Berkman Sahiner,et al.  Computerized image analysis: estimation of breast density on mammograms , 2000, Medical Imaging: Image Processing.

[46]  Dan Rico,et al.  A volumetric method for estimation of breast density on digitized screen-film mammograms. , 2003, Medical physics.

[47]  U. Brechtken-Manderscheid,et al.  Introduction to the Calculus of Variations , 2014 .

[48]  N. Boyd,et al.  The risk of breast cancer associated with mammographic parenchymal patterns: a meta-analysis of the published literature to examine the effect of method of classification. , 1992, Cancer detection and prevention.

[49]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[50]  Jennifer A Harvey,et al.  Quantitative assessment of mammographic breast density: relationship with breast cancer risk. , 2004, Radiology.