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Detecting Pathologies with Homology Algorithms in Magnetic Resonance Images of Brain

Żelawski M.

Machine Graphics and Vision

2009

Vol. 18, No. 3

253-266

This paper describes a method for detecting the presence of pathological changes in two-dimensional brain images from magnetic resonance examination. The proposed idea is based on homology theory, which makes it easily extendable to three-dimensional brain images in particular it may be applied to the computer tomography data.

Pattern recognition based on homology theory

Żelawski M.

Machine Graphics and Vision

2005

Vol. 14, No. 3

309-324

This paper describes a method for comparing and recognizing patterns based on homology theory. We present algorithms and an exemplary application to handwritten letter recognition but the proposed idea can be easily used to recognize patterns in any dimension.