6533b85efe1ef96bd12bfe9e

RESEARCH PRODUCT

Soft Pyramid Symmetry Transforms

Vito Di GesùBertrand Zavidovique

subject

Theoretical computer scienceComputer sciencebusiness.industryComputationObject (computer science)Image (mathematics)Operator (computer programming)Homogeneous spacePyramidComputer visionArtificial intelligenceArchitectureSymmetry (geometry)business

description

Pyramid computation is a natural paradigm of computation in planning strategies and multi-resolution image analysis. This paper introduces a new paradigm that is based on the concept of soft-hierarchical operators implemented in a pyramid architecture to retrieve global versus local symmetries. The concept of symmetry is mathematically well defined in geometry whenever patterns are crisp images (two levels). Necessity for a soft approach occurs whenever images are multi-levels and the separation between object and background is subjective or not well defined. The paper describes a new pyramid operator to detect symmetries and shows some experiments supporting the approach. This work has been partially supported by the French Ministry of Research and the University Paris XI and the Agenzia Spaziale Italiana.

yearjournalcountryeditionlanguage
2005-01-01
https://doi.org/10.1007/10983652_24