Pattern recognition based on homology theory

Machine Graphics and Vision

Volumn 14, Issue 3, 2005, Pages 309-324

  Zelawski, Marcin ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

Handwritten letter recognition; Homology algorithm; Size function

Indexed keywords

ALGORITHMS; COMPUTER VISION; GRAPHIC METHODS;

HANDWRITTEN LETTER RECOGNITION; HOMOLOGY ALGORITHM; SIZE FUNCTION;

PATTERN RECOGNITION;

EID: 33645303194     PISSN: 12300535     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. 1991 Frosini P.: Measuring shapes by size functions. Proc. of SPIE, Intelligent Robots and Computer Vision X: Algorithms and Techniques, Boston, MA 1607, 122-133.
2. 1994 Uras C., Veri A.: On the recognition of the alphabet of the sign language through size functions, Proc. XII IAPR International Conference on Pattern Recognition, Jerusalem (Israel) II, IEEE Computer Society Press, Los Alamitos, CA, 334-338.
3. 1998 Kaczynski T., Mrozek M., Ślusarek M.: Homology computation by reduction of chain complexes. Computers and Math. Appl., 35(4), 59-70.
4. 1999 Frosini P. and Landi C.: Size theory as a topological tool for computer vision. Pattern Recognition and Image Analysis, 9(4), 596-603.
5. 2000 Allili M., Ziou D.: Extraction of topological properties of images via cubical homology. Preprint, Georgia Inst. Tech., Atlanta.
6. 2001 Frosini P., Landi C.: Size functions and formal series. Applicable Algebra in Engin. Communic. Comput., 12(4), 327-349.
7. 2002 Niethammer M., Stein A.N., Kalies W.D., Pilarczyk P., Mischaikow K., Tannenbaum A.: Analysis of blood vessel topology by cubical homology. Proc. of the Int. Conf. on Image Processing, 2, 969-972.
8. 2004 Kaczynski T., Mischaikow K., Mrozek M.: Computational Homology. Springer-Verlag, Appl. Math. Sci. Series Vol. 157, New York.
9. 2005 Gryglewski A., Mrozek M., Zelawski M.: Blood vessels extraction algorithm based on homology theory, in preparation.
10. Gryglewski A., Mrozek M., Zelawski M.: Computer assisted analysis of microcirculation architecture in endoscopic picture of colon mucosa, in preparation.
11. Mischaikow K., Mrozek M., Pilarczyk P.: Graph approach to the computation of the homology of continuous maps. Foundations of Computational Mathematics, 5(2), 199 - 229.
12. Sȩdziwy A., Zelawski M.: Detecting Pathologies with Homology Algorithms in 3D MRI/CT Images of Brain, in preparation.
13. Zelawski M.: Detecting Pathologies with Homology Algorithms in Magnetic Resonance Images of Brain. Machine Graphics & Vision, submitted.
14. Software: Pilarczyk P.: Homology Software, http://www.math.gatech.edu/ ~chom.
15. Zelawski M.: 2D Pattern Recognition Software, http://www.ii.uj.edu.pl/ ~zelawski/rec-hom.htm.