Image Space Coordinates Research Articles

Image analysis by Tchebichef moments

This paper introduces a new set of orthogonal moment functions based on the discrete Tchebichef polynomials. The Tchebichef moments can be effectively used as pattern features in the analysis of two-dimensional images. The implementation of the moments proposed in this paper does not involve any numerical approximation, since the basis set is orthogonal in the discrete domain of the image coordinate space. This property makes Tchebichef moments superior to the conventional orthogonal moments such as Legendre moments and Zernike moments, in terms of preserving the analytical properties needed to ensure information redundancy in a moment set. The paper also details the various computational aspects of Tchebichef moments and demonstrates their feature representation capability using the method of image reconstruction.

Stereoscopic Imagery in a Type of Stereoscopic Microscope

An analysis is made, from the point of view of first order geometrical optics, of the stereoscopic imagery in the type of stereoscopic microscope which consists of a simple magnifier followed by a sort of binocular field glass. The imagery cannot be orthostereoscopic. Equations are given for the transformation from object space coordinates to image space coordinates, for lateral and longitudinal magnifications, for the ratio of longitudinal to lateral magnification, and for the factor by which the instrument enhances the ability to detect small differences in depths of the object. When the eyepiece axes are not parallel, certain complications in interpreting the imagery are encountered.