Contributions to Proceedings:

F. Torres Garcia, W. Kropatsch:
"Canonical Encoding of the Combinatorial Pyramid";
in: "Proceedings of the 19th Computer Vision Winter Workshop 2014", Z. Kúkelová, J. Heller (ed.); issued by: Zuzana Kúkelová and Jan Heller, Krtiny, CZ; Proceedings of the 19th Computer Vision Winter Workshop 2014, Zuzana Kúkelová and Jan Heller, Krtiny, CZ, February 2014, 2014, ISBN: 978-80-260-5641-6, 118 - 125.

English abstract:
This paper presents a novel framework to en-
code a combinatorial pyramid. A combinatorial pyramid
is a hierarchy of successively reduced combinatorial maps.
Important properties of the combinatorial pyramids such as
topology preservation, the process global and local features
within the same data structure, etc. made them useful for
image processing and pattern recognition tasks. Their ad-
vantages have been widely proved in the literature. Never-
theless, the main disadvantage of this approach is the high
rate of memory requirement. A combinatorial map of an im-
age maybe stored in an array of size approximately equal to
four times the number of pixels of the image. Furthermore,
every level of the combinatorial pyramid stores a different
combinatorial map. In respond to this problem a canoni-
cal encoding of the combinatorial pyramid is provided. It
consists of a single array where its elements are ordered
with respect to the construction history of the pyramid. In
this manner the memory consumptions are equal to the size
of the initial combinatorial map and do not depend on the
number of pyramid´s levels. In addition, this canonical en-
coding allows the whole reconstruction of the pyramid in
both directions: from the base to the top level and from the
top to the base level, without additional information.

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