Anisotropic continuous-scale morphology

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4478 LNCS, Issue PART 2, 2007, Pages 515-522

  Breuß, Michael ^a   Burgeth, Bernhard ^a   Weickert, Joachim ^a  

^a SAARLAND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE ALGORITHMS; COMPUTER SIMULATION; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS;

FLOW-LIKE IMAGE STRUCTURES; SPACE-VARIANT MATRIX;

IMAGE SEGMENTATION;

EID: 38049113324     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-72849-8_65     Document Type: Conference Paper

References (23)

1. Alvarez, L., Guichard, F., Lions, P.-L., Morel, J.-M.: Axioms and fundamental equations in image processing. Archive for Rational Mechanics and Analysis 123, 199-257 (1993)
2. Arehart, A.B., Vincent, L., Kimia, B.B.: Mathematical morphology: The Hamilton-Jacobi connection. In: Proc. Fourth International Conference on Computer Vision, Berlin, pp. 215-219. IEEE Computer Society Press, Washington, DC, USA (1993)
3. Breuß, M., Weickert, J.: A Shock-Capturing Algorithm for the Differential Equations of Dilation and Erosion. Journal of Mathematical Imaging and Vision 25, 187-201 (2006)
4. Bigün, J., Granlund, G.H., Wiklund, J.: Multidimensional orientation estimation with applications to texture analysis and optical flow. IEEE Transactions on Pattern Analysis and Machine Intelligence 13(8), 775-790 (1991)
5. Brockett, R.W., Maragos, P.: Evolution Equations for Continuous-Scale Morphological Filtering. IEEE Transactions on Signal Processing 42(12), 3377-3386 (1994)
6. Dougherty, E.R.: Mathematical Morphology in Image Processing. Marcel Dekker, New York (1993)
7. Evans, L.C.: Partial Differential Equations. Graduate Studies in Mathematics, vol. 19. American Mathematical Society, Providence (1998)
8. Förstner, W., Gülch, E.: A fast operator for detection and precise location of distinct points, corners and centres of circular features. In: Proc. ISPRS Intercommission Conf. on Fast Processing of Photogrammetric Data (Interlaken, June 2-4, 1987) pp. 281-305 (1987)
9. Heijmans, H.J.A.M.: Morphological Image Operators. Academic Press, Boston (1994)
10. Lerallut, R., Decencière, E., Meyer, F.: Image processing using morphological amoebas. In: Proc. 5th Int. Symp. on Mathematical Morphology, Kluwer Academic Publishers, Dordrecht (2005)
11. LeVeque, R.J.: Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, Cambridge (2002)
12. Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 79, 12-49 (1988)
13. Perona, P., Malik, J.: Scale space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence 12, 629-639 (1990)
14. Rouy, E., Tourin, A.: A viscosity solutions approach to shape-from-shading. SIAM Journal on Numerical Analysis 29, 867-884 (1992)
15. Rao, A.R., Schunck, B.G.: Computing oriented texture fields. CVGIP: Graphical Models and Image Processing 53, 157-185 (1991)
16. Sapiro, G., Kimmel, R., Shaked, D., Kimia, B.B., Bruckstein, A.M.: Implementing continuous-scale morphology via curve evolution. Pattern Recognition 26, 1363-1372 (1993)
17. Serra, J.: Image Analysis and Mathematical Morphology, vol. 1. Academic Press, London (1982)
18. Serra, J.: Image Analysis and Mathematical Morphology, vol. 2. Academic Press, London (1988)
19. Soille, P.: Morphological Image Analysis, 2nd edn. Springer, Heidelberg (2003)
20. van den Boomgaard, R.: Mathematical Morphology: Extensions Towards Computer Vision. PhD thesis, University of Amsterdam, The Netherlands (1992)
21. Weickert, J.: Anisotropic Diffusion in Image Processing. Teubner, Stuttgart (1998)
22. Weickert, J.: Coherence-enhancing diffusion filtering. Int. J. Comput. Vision 31, 111-127 (1999)
23. Weickert, J.: Coherence-enhancing shock filters. In: Michaelis, B., Krell, G. (eds.) Pattern Recognition. LNCS, vol. 2781, pp. 1-8. Springer, Heidelberg (2003)