Object descriptors invariant to affine distortions

A Kadyrov, M Petrou
2001 Procedings of the British Machine Vision Conference 2001  
The Trace transform is a generalisation of the Radon transform that allows us to construct image features that are invariant to a chosen group of image transformations. In this paper we propose functionals which can be computed from the image function, and which can be used to describe objects in a way that is invariant to the group of affine transforms. We demonstrate the usefulness of the constructed image descriptors in retrieving images from an image database and compare it with the moments
more » ... it with the moments based method. § over parameter along line , which is not necessarily the integral of the image. One then calculates another functional, , along the columns of the Trace transform, ie over parameter ¡ , and finally a functional over the string of numbers created this way, ie over parameter .
doi:10.5244/c.15.41 dblp:conf/bmvc/KadyrovP01 fatcat:jvn2gkvzjbeoxbzfolqxvgxw3y