Radial distortion in an image is a geometric distortion that causes a non-linear variation in resolution across the image, with a higher spatial resolution in the central areas of the image, and lower resolution in the peripheral areas of the image. This is particularly evident in fish-eye cameras, with very wide fields-of-view. Equidistant fish-eye cameras are designed such that the distance b...

There are projected shortages in the supply of dentists in Australia, and these shortages are likely to be more evident in areas outside of capital cities. This report explores the geographic distribution of dentists and the differences in supply of dental services to regions defined by remoteness. Remoteness may be thought as the travel time to obtaining goods and services. Australian Statisti...

Virtually all variational methods for motion estimation regularize the gradient of the flow field, which introduces a bias towards piecewise constant motions in weakly textured areas. We propose a novel regularization approach, based on decorrelated second-order derivatives, that does not suffer from this shortcoming. We then derive an efficient numerical scheme to solve the new model using pro...

We present four functionalities intended to improve the ability of image detection and tracking algorithms to understand a scene in a multicamera system. The redundancy of several available projections of any 3D object onto different cameras might ease video analysis tasks. When some prior information about the 3D object or any of its projections is known, geometric constraints can help to rest...

in conjunction with Euler’s formula, f1 = f0 + f2 − 2; see also [6, Sect. 10.3]. Moreover, the cone of flag vectors of 3-polytopes is also given by these two inequalities, together with the usual Dehn– Sommerville relations, such as f02 = 2f1 and f012 = 4f1. Here the extreme cases, polytopes whose f or flag vectors lie at the boundary of the cone, are given by the simplicial polytopes (for whic...

This paper develops a test for homogeneity in finite mixture models where the mixing proportions are known a priori (taken to be 0.5) and a common nuisance parameter is present. Statistical tests based on the notion of Projected Likelihood Contrasts (PLC) are considered. The PLC is a slight modification of the usual likelihood ratio statistic or the Wilk’s Λ and is similar in spirit to the Rao’...

We construct a class of projected SO~5! models where the Gutzwiller constraint of no-double-occupancy is implemented exactly. We introduce the concept of projected SO~5! symmetry where all static correlation functions are exactly SO~5! symmetric and discuss the signature of the projected SO~5! symmetry in dynamical correlation functions. We show that this class of projected SO~5! models can giv...

Model counting is the task of computing the number of assignments to variables V that satisfy a given propositional theory F . The model counting problem is denoted as #SAT. Model counting is an essential tool in probabilistic reasoning. In this paper, we introduce the problem of model counting projected on a subset of original variables that we call priority variables P ⊆ V. The task is to com...

Injury and disease affect neural processing and increase individual variations in patients when compared with healthy controls. Understanding this increased variability is critical for identifying the anatomical location of eloquent brain areas for pre-surgical planning. Here we show that precise and reliable language maps can be inferred in patient populations from resting scans of idle brain ...