When it becomes necessary to reduce the complexity of a classifier, dimensionality reduction can be an effective way to address classifier complexity. Linear Discriminant Analysis (LDA) is one approach to dimensionality reduction that makes use of a linear transformation matrix. The widely used Fisher’s LDA is “sub-optimal” when the sample class covariance matrices are unequal, meaning that ano...

Abstract As shared, collaborative, networked, virtual environments become increasingly popular, various challenges arise regarding the efficient transmission of model and scene transformation data over network. user immersion real-time interactions heavily depend on VR stream synchronization, transmitting entire set does not seem a suitable approach, especially for sessions involving large numb...

We investigate aspects of multi-modal image registration based on a new criterion named mutual information (or sometimes Shannon information). This criterion is intensity-based and requires no landmarks; hence, its application can be automated without resorting to segmentation. We present a form amenable to derivation with respect to the geometric transformation parameters (here: affine transfo...

This article deals with image and video segmentation using active contours. The proposed variational approachs is based on a criterion combining geometric prior and statistical features computed on the inside region of the contours. The geometric prior involves a free form deformation from a reference contour as opposed to a parametric transformation. Differentiation of this geometric prior cri...

In this paper, a geometric interpretation is provided of a new rational Landen transformation. The convergence of its iterates is also established.

The quick advance in remote sensing technologies provides the ability to acquire high quality metric information. This is achievable by forming the relationship between image coordinates and ground coordinates as 2D and 2D-to3D transformation models. Most of these models are based on point features. Although point-based transformation models are well developed, it is time-consuming and costly t...