A tensorial framework for color images

Pattern Recognition Letters

Volumn 31, Issue 4, 2010, Pages 277-296

  Rittner, Leticia ^a   Flores, Franklin C ^b   Lotufo, Roberto A ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

^b STATE UNIVERSITY OF MARINGÁ   (Brazil)

Author keywords

Color image; Gradient; Mathematical morphology; Segmentation; Tensor; Watershed transform

Indexed keywords

COLOR IMAGE; COLOR IMAGES; COLOR MODELS; COLOR REPRESENTATION; GRADIENT; MORPHOLOGICAL GRADIENT; QUANTITATIVE ANALYSIS; SEGMENTATION RESULTS; SIMILARITY MEASURE; WATERSHED TRANSFORM;

COLOR; IMAGE SEGMENTATION; LANDFORMS; MATHEMATICAL MORPHOLOGY; MORPHOLOGY; TENSORS; WATERSHEDS;

MATHEMATICAL TRANSFORMATIONS;

EID: 74649086533     PISSN: 01678655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patrec.2009.09.030     Document Type: Article

References (38)

1. Alexander, D., Gee, J., Bajcsy, R., 1999. Similarity measures for matching diffusion tensor images. In: Proc. British Machine Vision Conference (BMVC), pp. 93-102.
2. Arsigny V., Fillard P., Pennec X., and Ayache N. Log-Euclidean metrics for fast and simple calculus on diffusion tensors. Magn. Reson. Med. 56 2 (2006) 411-421
3. Basser P., and Pajevic S. Statistical artifacts in diffusion tensor MRI (DT-MRI) caused by background noise. Magn. Reson. Med. 44 (2000) 41-50
4. Batchelor P.G., Moakher M., Atkinson D., Calamante F., and Connelly A. A rigorous framework for diffusion tensor calculus. Magn. Reson. Med. 53 1 (2005) 221-225
5. Beucher S., and Meyer F. The morphological approach to segmentation: The watershed transformation. Mathematical Morphology in Image Processing (1992), Marcel Dekker pp. 433-481 (Chapter 12)
6. Bigun J., Granlund G.H., and Wiklund J. Multidimensional orientation estimation with applications to texture analysis and optical flow. IEEE Trans. Pattern Anal. Machine Intell. 13 8 (1991) 775-790
7. Bishop R.L., and Goldberg S.I. Tensor Analysis on Manifolds (1980), Dover
8. Borsotti M., Campadelli P., and Schettini R. Quantitative evaluation of color image segmentation results. Pattern Recognition Lett. 19 (1998) 741-747
9. Chanussot, J., Lambert, P., 1998. Total ordering based on space filling curves for multivalued morphology. In: Mathematical Morphology and its Applications to Image and Signal Processing, pp. 51-58.
10. Cousty J., Bertrand G., Najman L., and Couprie M. Watershed cuts: Minimum spanning forests and the drop of water principle. IEEE Trans. Pattern Anal. Machine Intell. 31 8 (2009) 1362-1374
11. Danielson, D.A., 2003. Vectors and Tensors in Engineering and Physics. Westview (Perseus).
12. de Luis Garcia, R., Deriche, R., Rousson, M., Alberola-Lopez, C., 2005. Tensor processing for texture and colour segmentation. In: SCIA, pp. 1117-1127.
13. Dougherty E.R., and Lotufo R.A. Hands-on Morphological Image Processing vol. TT59 (2003), SPIE
14. Falcão A.X., Stolfi J., and Lotufo R.A. The image foresting transform: Theory, algorithms and applications. IEEE Trans. Pattern Anal. Machine Intell. 26 1 (2004) 19-29
15. Flores, F.C., Polidório, A.M., Lotufo, R.A., 2004. Color image gradients for morphological segmentation: The weighted gradient improved by automatic imposition of weights. In: Proc. Brazilian Symposium on Computer Graphics and Image Processing. Curitiba, Brazil, pp. 146-153.
16. Flores F.C., Polidório A.M., and Lotufo R.A. The weighted gradient: A color image gradient applied to morphological segmentation. J. Brazil. Comput. Soc. - JBCS 11 3 (2006) 53-63
17. Gonzalez R.C., and Woods R.E. Digital Image Processing (1992), Addison-Wesley Publishing Company
18. Grimaud, M., 1992. A New Measure of Contrast: The Dynamics. SPIE (Ed.), Image Algebra and Morphological Image Processing III. Vol. 1769. pp. 292-305.
19. Hanbury, A., 2003. A 3D-polar coordinate colour representation well adapted to image analysis. In: SCIA, pp. 804-811.
20. Jones D., Horsfield M., and Simmons A. Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging. Magn. Reson. Med. 42 3 (1999) 515-525
21. Martin, D., Fowlkes, C., Tal, D., Malik, J., 2001. A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In: Internat. Conf. on Computer Vision, vol. 2, pp. 416-423.
22. Meyer, F., 1996. The dynamics of minima and contours. In: Maragos, P., Butt, M. (Ed.), ISMM 3rd. Computational Imaging and Vision, pp. 329-336.
23. Najman L., and Schmitt M. Geodesic saliency of watershed contours and hierarchical segmentation. IEEE Trans. Pattern Anal. Machine Intell. 18 12 (1996) 1163-1173
24. Peeters T., Rodrigues P., Vilanova A., and ter Haar Romeny B. Analysis of distance/similarity measures for diffusion tensor imaging. Visualization and Processing of Tensor Fields: Advances and Perspectives (2008), Springer, Berlin
25. Pennec X., Fillard P., and Ayache N. A riemannian framework for tensor computing. Internat. J. Comput. Vision 66 1 (2006) 41-66
26. Pierpaoli C., and Basser P.J. Toward a quantitative assessment of diffusion anisotropy. Magn. Reson. Med. 36 6 (1996) 893-906
27. Rittner, L., Lotufo, R., 2008. Diffusion tensor imaging segmentation by watershed transform on tensorial morphological gradient. In: Proc. XXI Brazilian Symposium on Computer Graphics and Image Processing. Campo Grande, Brazil, pp. 196-203.
28. Rittner, L., Flores, F., Lotufo, R., 2007. New tensorial representation of color images: Tensorial morphological gradient applied to color image segmentation. In: Proc. XX Brazilian Symposium on Computer Graphics and Image Processing. Belo Horizonte, Brazil, pp. 45-52.
29. Soille P., and Vincent L. Determining watersheds in digital pictures via flooding simulations. Visual Communications and Image Processing vol. 1360 (1990), SPIE 240-250
30. Talbot, H., Evans, C., Jones, R., 1998. Complete ordering and multivariate mathematical morphology: Algorithms and applications. In: Mathematical Morphology and its Applications to Image and Signal Processing, pp. 27-34.
31. Vachier C., and Meyer F. Extinction value: A new measurement of persistence. Proc. 1995 IEEE Workshop on Nonlinear Signal and Image Processing vol. I (1995), IEEE 254-257
32. Vincent, L., Soille, P., 1991. Watersheds in digital spaces: An efficient algorithm based on immersion simulations 13 (6), 583-598.
33. Wang Z., and Vemuri B.C. DTI segmentation using an information theoretic tensor dissimilarity measure. IEEE Trans. Med. Imaging 24 10 (2005) 1267-1277
34. Weijer, J., Gevers, T., 2004. Tensor based feature detection for color images. In: 12th Color Imaging Conf.: Color Science and Engineering Systems, Technologies, Applications, vol. 12, pp. 100-105.
35. Weijer J., Gevers T., and Smeulders A. Robust photometric invariant features from the color tensor. IEEE Trans. Image Process 15 1 (2004) 118-127
36. Wiegell M., Tuch D., Larson H., and Wedeen V. Automatic segmentation of thalamic nuclei from diffusion tensor magnetic resonance imaging. NeuroImage 19 (2003) 391-402
37. Zenzo S.D. A note on the gradient of a multi-image. Computer Vision Graphics Image Process. 33 (1986) 116-125
38. Ziyan, U., Tuch, D., Westin, C.-F., 2006. Segmentation of thalamic nuclei from DTI using spectral clustering. In: Ninth Internat. Conf. on Medical Image Computing and Computer-assisted Intervention (MICCAI'06). Lecture Notes in Computer Science, vol. 4191. Copenhagen, Denmark, pp. 807-814.