Invertible Apertured Orientation Filters in Image Analysis

Authors:
Stiliyan N. Kalitzin;Bart M. Ter Haar Romeny;Max A. Viergever
Affiliations:
Image Sciences Institute, University Hospital Utrecht, HP E01.334, P.O. Box 85500, 3508 GA, Utrecht, The Netherlands;Image Sciences Institute, University Hospital Utrecht, HP E01.334, P.O. Box 85500, 3508 GA, Utrecht, The Netherlands;Image Sciences Institute, University Hospital Utrecht, HP E01.334, P.O. Box 85500, 3508 GA, Utrecht, The Netherlands
Venue:
International Journal of Computer Vision
Year:
1999

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Abstract

A unitary approach for locally apertured orientation analysis of 2D and 3D scalar images is proposed. The size of the local aperture (the scale) neededfor the orientation representation induces in general a lost of spatialacuity, or blur. Our construction permits a compensation of the blurby a reconstruction procedure. For this purpose, a special scale-dependent orientation bundle (map of the visual space into function of both position andorientation) is build from the local Gaussian-derivatives jet of ascalar image. In this construction there is an invertible relation betweenthe orientation bundle and the original image. Thisinvertible transformation is used to regain the original acuity in the spatial domain after analyzing orientationfeatures at any given scale.The approach turns out to be highly effective for the detection of elongated structures andfor removal of elongated artifacts in 2D images.