Titlebook: Discrete Geometry for Computer Imagery; 16th IAPR Internatio Isabelle Debled-Rennesson,Eric Domenjoud,Philippe Conference proceedings 2011

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978-3-642-19866-3Springer-Verlag GmbH Germany, part of Springer Nature 2011

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Open Innovation in the Aviation SectorThis paper is devoted to hierarchies of partitions, on which all criteria are proved to be connective. Optimisations are addressed by minimizing energies that satisfy the condition of hierarchical increasingness. The optimal cuts through the hierarchies are found. It is shown that many of the classical techniques are variants of what is proposed.

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Hierarchies and OptimaThis paper is devoted to hierarchies of partitions, on which all criteria are proved to be connective. Optimisations are addressed by minimizing energies that satisfy the condition of hierarchical increasingness. The optimal cuts through the hierarchies are found. It is shown that many of the classical techniques are variants of what is proposed.

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Associating Cell Complexes to Four Dimensional Digital Objectspresentation consists on associating a cell complex homologically equivalent to the digital object. To determine the pieces of this cell complex, algorithms based on weighted complete graphs and integral operators are shown. We work with integer coefficients, in order to compute the integer homology of the digital object.

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Discrete Geometry for Computer Imagery978-3-642-19867-0Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Dheeraj Kumar,Ravi Kant Singh,Apurba Layek the Riemann mapping theorem. Our algorithm can parameterize triangular, quadrangular and digital meshes. It can be adapted to preserve metric properties. To demonstrate the efficiency of our method, many examples are shown in the experiment section.

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