The results of [3] suggest a way to sort which barcode intervals correctly belong to the underlying manifold, M , and which can be regarded as topological noise. In particular, when barcodes are computed using sublevel sets of their distance function (see eq 12), all of the barcodes that start later than a linear function of W2(F̂n, F ) can be assumed to correctly reflect the betti numbers of M ...

Distinguished regions can be detected with high repeatability in different images of the same scene. Two definitions of distinguished regions of an image in a mathematical morphology framework are proposed: one based on the use of reconstruction operators on a series of cross sections of a greyscale image, and the second based on extracting regions present in a large number of levels of a water...

While long term human visual memory can store a remarkable amount of visual information, it tends to degrade over time. Recent works have shown that image memorability is an intrinsic property of an image that can be reliably estimated using state-of-the-art image features and machine learning algorithms. However, the class of features and image information that is forgotten has not been explor...

Regions of transition systems provide a versatile and effective tool for the synthesis of Petri nets from behavioural specifications. Intuitively, a region captures a single net place through essential behavioural characteristics as encoded in the transition system, including marking information and its connectivity with all the transitions. One of the key advances in the design of region based...

Most reviews of microbial life in cold environments begin with a lament of how little is known about the psychrophilic (cold-loving) inhabitants or their specific adaptations to the cold. This situation is changing, as research becomes better focused by new molecular genetic (and other) approaches, by awareness of accelerated environmental change in polar regions, and by strong interest in the ...

This paper considers a method for dealing with non-convex objective functions in optimization problems. It uses the Hessian matrix and combines features of trust-region techniques and continuous steepest descent trajectory-following in order to construct an algorithm which performs curvilinear searches away from the starting point of each iteration. A prototype implementation yields promising r...

We examine the least-perimeter way to enclose given area or volume in various spaces including some spaces with density.

In this work, we propose a system architecture able to classify objects into models. Each object is represented by 2D color image. The fuzzy sets theory has been a fundamental base to build algorithms presented here. Each image is segmented into semantically annotated regions. In a second step, we extract structural information which are coded into graphs. At the end, we obtain a semantic graph...

One of the vision projects of the Stanford Research Institute Artificial Intelligence Group is described. The method employed uses regions as basic data and progresses by successive partitioning of the picture toward an interpretable "goal partition," which is then explored by a heuristic decision tree. A general structure is discussed and an example problem is shown in detail,

April 2006 | Volume 3 | Issue 4 | e89 The global burden of infl uenza on morbidity and mortality is considerable, with an estimated 1 million annual deaths worldwide [1]. In temperate regions, there are clear seasonal variations in the occurrence of infl uenza, with a marked peak in cold winter months [2]. In contrast, seasonality is less defi ned in tropical regions—here, there is high backgro...