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2 2003

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Detecting pathologies in magnetic resonance images of brain

Sędziwy A.

Image Processing & Communications

2003

Vol. 9, no 1-2

53-62

This article contains the algorithm of processing the computer images obtained during magnetic resonance examination. The purpose of the algorithm is to search automatically for the pathologies presence in such images and to make the rough estimation of their size. It is accomplished by analyzing the axial symmetry of processed pictures. Described procedure applies also to the computer tomography data and may be extended by the functionality of the qualitative and quantitative description of detected pathologies.

The Łojasiewicz exponent of the gradient at infinity

Rodak T.

Bulletin of the Polish Academy of Sciences. Mathematics

2003

Vol. 51, no 1

93-98

Let f [a member of a set] C[x, y] and deg f = deg[sub y] f [is more than or equal to] 2. In this paper we prove that the Łojasiewicz exponent L[infinity] (grad f) of the gradient of f at infinity is attained on the curve f'y=0.