CENTRAL AND LOGARITHMIC CENTRAL IMAGE CHORD TRANSFORMATIONS FOR INVARIANT OBJECT RECOGNITION

Pattern descriptors invariant to rotation, scaling, and translation represents an important direction in the elaboration of the real time object recognition systems. In this article, the new kinds of object descriptors based on chord transformation are presented. There are described new methods of image presentation - Central and Logarithmic Central Image Chord Transformations (CICT and LCICT). It is shown that the CICToperation makes it possible to achieve invariance to object rotation. In the case of implementation of the LCICT transformation, invariance to changes in the rotation and scale of the object is achieved. The possibilities of implementing the CICTand LCICToperations are discussed. The algorithms of these operations for contour images are presented. The possibilities of integrated implementation of CICT and LCICT operations are considered. A generalized CICT operation for a full (halftone) image is defined. The structures of the coherent optical processors that implement operations of basic and integral image chord transformations are presented.

Editorial

This issue represents the concluding half of an effort to commemorate the occasion and aims to document both the present and emerging state-of-the-art, covering the adoption, design, enaction, scaling and translation of immersive and/or mixed-reality environments for learning, and in other contexts of education.We believe we have achieved our goal. It is our privilege to present you - in this second and concluding part of a two-part special issue of the Journal - four academic papers which together paint a colorful canvas on just how far we have come, from those early tentative steps during which we explored the nexus between immersive environments and learning a decade ago.

Editorial

This issue, themed on Pedagogy and Learning, aims to document both the present and emerging state-of-the-art, covering the adoption, design, enaction, scaling and translation of immersive and/or mixed-reality environments for learning, and in other contexts of education.This commemorative issue stands on the shoulders of those who explored the frontiers and came before and is dedicated to the memory and work of the late Leslie Jarmon.