6533b7d1fe1ef96bd125cdb2

RESEARCH PRODUCT

Phase Fourier vector model for scale invariant three-dimensional image detection.

Carlos FerreiraJosé J. VallésJavier GarciaPascuala García-martínez

subject

Computer sciencebusiness.industryImage detectionScale invarianceAtomic and Molecular Physics and OpticsObject detectionCorrelationConstant factorsymbols.namesakeOpticsFourier transformsymbolsVector space representationInvariant (mathematics)businessAlgorithm

description

A scale invariant 3D object detection method based on phase Fourier transform (PhFT) is addressed. Three-dimensionality is expressed in terms of range images. The PhFT of a range image gives information about the orientations of the surfaces in the 3D object. When the object is scaled, the PhFT becomes a distribution multiplied by a constant factor which is related to the scale factor. Then 3D scale invariant detection can be solved as illumination invariant detection process. Several correlation operations based on vector space representation are applied. Results show the tolerance of detection method to scale besides discrimination against false objects.

10.1364/oe.15.007818https://pubmed.ncbi.nlm.nih.gov/19547109