Orthogonal rotation invariant moments (ORIMs) have been used in many pattern recognition
and image processing applications in the last three decades. Most of the applications relate …

Zernike moments (ZMs) are very effective global image descriptors which are used in many
digital image processing applications. The digitization process compromises the accuracy of …

We propose an intrinsic multifactorial model for data on Riemannian manifolds that typically
occur in the statistical analysis of shape. Due to the lack of a linear structure, linear models …

Generic polar harmonic transforms have recently been proposed to extract rotation-invariant
features from images and their usefulness has been demonstrated in a number of pattern …

Measuring the degree to which a shape resembles a polygon (referred to as polygonality) is
a difficult problem due to the intrinsic diversity in the form and distortion of shapes caused by …

Organism symmetry via body plan is the balanced arrangement of structural features
(internally or externally) that is definable in terms of dimension (2D or 3D) and geometry …

In this paper we propose a novel method for invariant image reconstruction with the properly
selected degree of symmetry. We make use of Zernike radial moments to represent an …

This paper introduces a statistical methodology to identify planar asymmetries in surfaces.
An algorithm based on bivariate kernel smoothers is used to estimate non-parametrically the …

Improving PSF calibration in confocal microscopic imaging-estimating and exploiting bilateral
symmetry Page 1 The Annals of Applied Statistics 2010, Vol. 4, No. 4, 1871–1891 DOI …

Zernike moments (ZMs) are very useful image descriptors which belong to a family of
orthogonal rotation invariant moments. Due to their many attractive characteristics, they have …