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The dimension of graph directed attractors with overlaps on the line, with an application to a problem in fractal image recognition

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Keane M., Károly K., Solomyak B.

Fundamenta Mathematicae

2003

tom 180

nr 3

279-292

Consider a graph directed iterated function system (GIFS) on the line which consists of similarities. Assuming neither any separation conditions, nor any restrictions on the contractions, we compute the almost sure dimension of the attractor. Then we apply our result to give a partial answer to an open problem in the field of fractal image recognition concerning some self-affine graph directed attractors in space.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Keane M.

1 Károly K.

1 Solomyak B.

1 2003

Wyniki wyszukiwania

The dimension of graph directed attractors with overlaps on the line, with an application to a problem in fractal image recognition