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An assessment of the lattice structure using image processing methods

100%

Gasz R.

tom z. 70

23-24

Diagnostics of electric power lines is an important component of their operation and consists in determination which components of the support structures need repairs or maintenance. The paper presents the method for semi-automatic diagnostics of support structures for high voltage lines with use of metrical photographs.

L-approach merotopies and their categorical perspective

88%

Khare M. , Tiwari S.

2012

tom Vol. 45, nr 3

699-716

In the present paper, we have made a category theoretic and lattice theoretic study of some nearness-like structures in the L-approach theory. Using L-grills, the notion of L-approach grill structure is introduced as a characterization of L-approach grill merotopy on X; their categorical perspectives and implications are also investigated. A number of illustrative examples are included.

On properties of a lattice structure for a wavelet filter bank implementation. Part. 1

75%

Stolarek J.

2011

tom Vol. 19, nr 1

85-116

This paper presents concept of a lattice structure for parametrization and implementation of a Discrete Wavelet Transform. Theoretical properties of the lattice structure are discussed in detail. An algorithm for converting the lattice structure to a wavelet filter bank coeffcients is constructed. A theoretical proof demonstrating that filters implemented by the lattice structure fulfil conditions imposed on an orthogonal wavelet filter bank is conducted.