6533b81ffe1ef96bd1277b61

RESEARCH PRODUCT

Symmetry as an Intrinsically Dynamic Feature

Marco Elio TabacchiBertrand ZavidoviqueVito Di Gesù

subject

Theoretical computer sciencePhysics and Astronomy (miscellaneous)business.industrylcsh:MathematicsGeneral MathematicsContext (language use)lcsh:QA1-939artificial visionSpatial relationKernel (image processing)Chemistry (miscellaneous)Feature (computer vision)SalientComputer Science (miscellaneous)featuresfeatureComputer visionArtificial intelligenceSymmetry (geometry)Image warpingGeometric modelingbusinesssymmetryMathematics

description

Symmetry is one of the most prominent spatial relations perceived by humans, and has a relevant role in attentive mechanisms regarding both visual and auditory systems. The aim of this paper is to establish symmetry, among the likes of motion, depth or range, as a dynamic feature in artificial vision. This is achieved in the first instance by assessing symmetry estimation by means of algorithms, putting emphasis on erosion and multi- resolution approaches, and confronting two ensuing problems: the isolation of objects from the context, and the pertinence (or lack thereof) of some salient points, such as the centre of mass. Next a geometric model is illustrated and detailed, and the problem of measuring symmetry in a world where symmetry is not perfect nor the only attention trigger is tackled. Two algorithmic lines, based on the so-called symmetry kernel and its evolution with pattern warping, and by correlation of blocks with varying sizes and positions, are proposed and investigated. An extended illustration of the power of symmetry as a feature, based on face expression recognition, concludes the paper.

https://doi.org/10.3390/sym2020554