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The Geometric Nature of the Flaschka Transformation

Communications in Mathematical Physics, 2017
The authors show that the Flaschka map, originally introduced to analyze the dynamics of the integrable Toda lattice system, is the inverse of a momentum map. They discuss the geometrical setting of the map and apply it to generalized Toda lattice systems on semisimple Lie algebras, the rigid body system on Toda orbits, and to coadjoint orbits of ...
Bloch, Anthony M.   +2 more
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Appearance Modeling Using a Geometric Transform

IEEE Transactions on Image Processing, 2009
A general transform, called the geometric transform (GeT), that models the appearance inside a closed contour is proposed. The proposed GeT is a functional of an image intensity function and a region indicator function derived from a closed contour.
Jian Li 0022   +2 more
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Geometric Transformation in Plane Triangulations

2001
In this paper, we present several geometric transformations, sometimes called contractions in graph theory, in plane triangulations. Those transformations can be applied for several formalizations of geometric properties (ex. the number of acute triangles) in plane triangulations since they are restricted only for a local region (some adjacent ...
Ken-ichi Kawarabayashi   +3 more
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Estimating geometrical transform parameters for affine-transform-base geometrical corrections

2011 IEEE International Geoscience and Remote Sensing Symposium, 2011
The geometrical transform parameters included in the ancillary file of the system-corrected Landsat TM image, such as a translation, a rotation angle and a scaling, may contain errors. Therefore, it sometimes occurs that the orthoimage obtained by the affine tranform is not desirable.
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A Geometric View on Radon Transforms

Results in Mathematics, 1997
The paper deals with an inversion formula for the \(k\)-plane Radon transform \(R^kf\) in a space of constant curvature. Both euclidean and noneuclidean cases are considered. An explicit formula from \(R^kf\) to \(R^{k-2}f\) is obtained. Techniques of geometrical integration and the formula for the second derivation of \(f\circ\gamma\) \((\gamma\) is a
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Geometric transforms on parallel architecture

1992
This paper shows that geometric transforms may be performed on a Line Processor with performances satisfying actual real-time constraints. In order to parallelize such transforms on the Line Processor SYMPATI 2 we take advantage of its access capabilities for processing the image either in a row by row or in a column by column fashion.
Jean-Paul Carrara   +3 more
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Geometric transformations on the hexagonal grid

IEEE Transactions on Image Processing, 1995
The hexagonal grid has long been known to be superior to the more traditional rectangular grid system in many aspects in image processing and machine vision related fields. However, systematic developments of the mathematical backgrounds for the hexagonal grid are conspicuously lacking. The purpose of this paper is to study geometric transformations on
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Geometric Transformations

2022
Răzvan Gelca   +2 more
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Geometric Transformations

2020
Arcangelo Distante, Cosimo Distante
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A note on ‘geometric transforms’ of digital sets

Pattern Recognition Letters, 1983
We define a 'geometric transform' on the digital plane as a function @? that takes pairs (P, S), where S is a set and P a point of S, into nonnegative integers, and where @?(S, P) depends only on the positions of the points of S relative to P. Transforms of this type are useful for segmenting and describing S.
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