Polygonal modeling of contours of breast tumors with the preservation of spicules

IEEE Transactions on Biomedical Engineering

Volumn 55, Issue 1, 2008, Pages 14-20

  Guliato, Denise ^a   Rangayyan, Rangaraj M ^b   Carvalho, Juliano D ^a   Santiago, Ségio A ^a  

^a FEDERAL UNIVERSITY OF UBERLÂNDIA   (Brazil)

^b UNIVERSITY OF CALGARY   (Canada)

Author keywords

Breast cancer; Breast masses; Polygonal modeling; Shape analysis; Spiculation index; Turning angle function

Indexed keywords

BIOMEDICAL ENGINEERING; MAMMOGRAPHY; ONCOLOGY; PHYSIOLOGICAL MODELS;

BREAST CANCER; BREAST MASSES; POLYGONAL MODELING; SHAPE ANALYSIS; SPICULATION INDEX; TURNING ANGLE FUNCTIONS;

TUMORS;

AREA UNDER THE CURVE; ARTICLE; BREAST CANCER; CANCER CLASSIFICATION; CANCER DIAGNOSIS; DIAGNOSTIC ACCURACY; DIAGNOSTIC APPROACH ROUTE; MODEL; RECEIVER OPERATING CHARACTERISTIC;

ALGORITHMS; BREAST NEOPLASMS; COMPUTER SIMULATION; FEMALE; HUMANS; MAMMOGRAPHY; MODELS, BIOLOGICAL; PATTERN RECOGNITION, AUTOMATED; RADIOGRAPHIC IMAGE ENHANCEMENT; RADIOGRAPHIC IMAGE INTERPRETATION, COMPUTER-ASSISTED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 37349052834     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2007.899310     Document Type: Article

References (43)

1. M. Homer, Mammographic Interpretation: A Practical Approach, 2nd ed. Boston, MA: McGraw-Hill, 1997.
2. Illustrated Breast Imaging Reporting and Data System (BI-RADS™), 3rd ed. Reston, VA: American College of Radiology, 1998.
3. R. M. Rangayyan, N. M. El-Faramawy, J. E. L. Desautels, and O. A. Alim, "Measures of acutance and shape for classification of breast tumors," IEEE Trans. Med. Imag., vol. 16, no. 6, pp. 799-810, Dec. 1997.
4. R. M. Rangayyan, N. R. Mudigonda, and J. E. L. Desautels, "Boundary modelling and shape analysis methods for classification of mammographic masses," Med. Biol. Eng. Comput., vol. 38, pp. 487-496, 2000.
5. L. M. Bruce and R. R. Adhami, "Classifying mammographic mass shapes using the wavelet transform modulus-maxima method," IEEE Trans. Med. Imag., vol. 18, no. 12, pp. 1170-1177, Dec. 1999.
6. B. S. Sahiner, H. P. Chan, N. Petrick, Helvie, and L. M. Hadjiiski, "Improvement of mammographic mass characterization using spiculation measures and morphological features," Med. Phys., vol. 28, no. 7, pp. 1455-1465, 2001.
7. Z. Huo, M. L. Giger, C. J. Vyborny, D. E. Wolverton, and C. E. Metz, "Computerized classification of benign and malignant masses on digitized mammograms: A study of robustness," Acad. Radiol., vol. 7, no. 12, pp. 1077-1084, 2000.
8. Z. Huo, M. L. Giger, and C. J. Vyborny, "Computerized analysis of multiple-mammographic views: Potential usefulness of special view mammograms in computer-aided diagnosis," IEEE Trans. Med. Imag., vol. 20, no. 12, pp. 1285-1292, Dec. 2001.
9. R. M. Rangayyan and T. M. Nguyen, "Fractal analysis of contours of breast masses in mammogramas," J. Digit. Imag., 2006.
10. R. M. Rangayyan, D. Guliato, J. D. Carvalho, and S. A. Santiago, "Feature extraction from the turning angle function for the classification of breast tumors," presented at the Int. Special Topics Conf. Inf. Technol. Biomed., Ioannina, Greece, Oct. 2006, CD-ROM.
11. N. R. Mudigonda, R. M. Rangayyan, and J. E. L. Desautels, "Detection of breast masses in mammograms by density slicing and texture flow-field analysis," IEEE Trans. Med. Imag., vol. 20, no. 12, pp. 1215-1227, Dec. 2001.
12. H. Alto, R. M. Rangayyan, and J. E. L. Desautels, "Content-based retrieval and analysis of mammographic masses," J. Electron. Imag., vol. 14, no. 2, pp. 023016:1-17, 2005.
13. C. J. Vyborny, T. Doi, K. F. O'Shaughnessy, H. M. Romsdahl, A. C. Schneider, and A. A. Stein, "Breast cancer: Importance of spiculation in computer-aided detection," Radiol., vol. 215, pp. 703-707, 2000.
14. K. Drukker, K. Horsh, and M. L. Giger, "Multimodality computerized diagnosis of breast lesions using mammography and sonography," Acad. Radiol., vol. 12, pp. 970-979, 2005.
15. D. Guliato, R. M. Rangayyan, J. D. Carvalho, and S. A. Santiago, "Spiculation-preserving polygonal modeling of contours of breast tumors," in Proc. 28th Annu. Int. Conf. IEEE Eng. Med. Biological Soc., New York, Sep. 2006, pp. 2791-2794.
16. M. A. Fishler and H. C. Wolf, "Locating perceptually salient points on planar curves," IEEE Trans. Pattern Anal. Mach. Intell., vol. 16, no. 2, pp. 113-129, Feb. 1994.
17. J. A. Garcia, J. Fdez-Valdivia, and R. Molina, "A method for invariant pattern recognition using the scale-vector representation of planar curves," Signal Process., vol. 43, no. 1, pp. 39-53, 1995.
18. L. F. Costa and R. M. Cesar, Jr, Shape Analysis and Classification. Boca Raton, FL: CRC Press, 2001.
19. L. J. Latecki and R. Lakämper, "Application of planar shape comparisons to object retrieval in image databases," Pattern Recognit., vol. 35, no. 1, pp. 15-29, 2002.
20. T. Pavlidis and F. Ali, "Computer recognition of handwritten numerals by polygonal approximations," IEEE Trans. Syst., Man, Cybern., vol. SMC-5, no. 11, pp. 610-614, Nov. 1975.
21. T. Pavlidis and S. L. Horowitz, "Segmentation of plane curves," IEEE Trans. Comput., vol. C-23, no. 8, pp. 860-870, Aug. 1974.
22. J. A. Ventura and J. M. Chen, "Segmentation of two-dimensional curve contours," Pattern Recognit., vol. 25, no. 10, pp. 1129-1140, 1992.
23. U. Ramer, "An iterative procedure for the polygonal approximation of plane curves," Computer Graph. Image Process., vol. 1, pp. 244-256, 1972.
24. M. M. S. Chong, R. K. L. Gay, H. N. Tan, and J. Liu, "Automatic representation of fingerprints for data compression by B-spline functions," Pattern Recognit., vol. 25, no. 10, pp. 1199-1210, 1992.
25. E. Salari and S. Balaji, "Recognition of partially occluded objects using B-spline representation," Pattern Recognit., vol. 24, no. 7, pp. 653-660, 1991.
26. O. Menut, R. M. Rangayyan, and J. E. L. Desautels, "Parabolic modeling and classification of breast tumours," Int. J. Shape Modeling, vol. 3, no. 3 & 4, pp. 155-166, 1998.
27. A. Blake and M. Isard, Active Contours. New York: Springer-Verlag, 1998.
28. L. Cohen, "On active contour models and balloons," CVGI: Image Understand., vol. 53, no. 2, pp. 211-218, Mar. 1991.
29. T. F. Cootes, C. J. Taylor, D. H. Cooper, and J. Graham, "Active shape models -their training and application," Comput. Vis. Image Understand., vol. 61, no. 1, pp. 38-59, 1995.
30. K. Castleman, Digital Image Processing. Englewood Cliffs, NJ: Prentice Hall, 1996.
31. P. L. Rosin and G. A. W. West, "Curve segmentation and representation by superellipses," Proc. IEE Vis., Image Signal Process., vol. 142, no. 5, pp. 417-429, 1995.
32. D. M. Wuescher and K. L. Boyer, "Robust contour decomposition using a constant curvature criterion," IEEE Trans. Pattern Anal. Mach. Intell., vol. 13, no. 1, pp. 41-51, Jan. 1991.
33. W. Niblack and J. Yin, "A pseudo-distance measure for 2-D shapes based on turning angle," in Proc. IEEE Int. Conf. Image Process., Washington, DC, Oct. 1995, vol. 3, pp. 352-355.
34. R. C. Veltkamp and M. Tanase, "Part-based shape retrieval," in Proc. 13th Annu. ACM Int. Conf. Multimedia, Singapore, Nov. 2005, pp. 543-546.
35. R. C. Veltkamp, M. Tanase, and D. Sent, "Features in content-based image retrieval systems: A survey," in Proc. State-of-the-Art in Content-Based Image and Video Retrieval, Deventer, The Netherlands, Dec. 2001, pp. 97-124.
36. R. C. Veltkamp, "Shape algorithmics," Algorithmica, vol. 38, no. 1, pp. 1-4, 2003.
37. L. J. Latecki, R. Lakämper, and D. Wolter, "Shape similarity and visual parts," in Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI), Naples, Italy, 2003, pp. 34-51.
38. E. M. Arkin, L. P. Chew, D. P. Huttenlocher, K. Kedem, and J. S. B. Mitchell, "An efficiently computable metric for comparing polygonal shapes," IEEE Trans. Pattern Anal. Mach. Intell., vol. 13, no. 3, pp. 209-216, Mar. 1991.
39. Screen Test: Alberta Program for the Early Detection of Breast Cancer - 2001/03 Biennial Report 2004 [Online]. Available: http://www.cancerboard.ab.ca/ screentest
40. H. Alto, R. M. Rangayyan, R. B. Paranjape, J. E. L. Desautels, and H. Bryant, "An indexed atlas of digital mammograms for computer-aided diagnosis of breast cancer," Annales Télécommun., vol. 58, no. 5-6, pp. 820-835, 2003.
41. The Mammographic Image Analysis Society Digital Mammogram Database 2006 [Online]. Available: http://peipa.essex.ac.uk/info/mias.html
42. J. Suckling, J. Parker, D. R. Dance, S. Astley, I. Hutt, C. R. M. Boggis, I. Ricketts, E. Stamatakis, N. Cerneaz, S. L. Kok, P. Taylor, D. Betal, and J. Savage, A. G. Gale, S. M. Astley, D. R. Dance, and A. Y. Cairns, Eds., "The Mammographic Image Analysis Society digital mammogram database," in Proc. 2nd Int. Workshop Digital Mammography, York, U.K., Jul. 1994, vol. 1069, Excerpta Medica International Congress Ser., pp. 375-378.
43. C. E. Metz, "Basic principles of ROC analysis," Seminars Nucl. Med., vol. VIII, no. 4, pp. 283-298, 1978.