In this paper we give a characterization of critical configurations for projective reconstruction with any number of points and views. A set of cameras and points is said to be critical if the projected image points are insufficient to determine the placement of the points and the cameras uniquely, up to a projective transformation. For two views, the critical configurations are well-known. In ...

In this paper some critical aspects of the behaviour of breaking lattices subject to slow driving forces are briefly reviewed. In particular, fluctuations in the response to external solicitations are discussed.

In this paper we introduce the concept of k-flow-critical graphs. These are graphs that do not admit a k-flow but such that any smaller graph obtained from it by contraction of edges or of sets of vertices is k-flowable. Throughout this paper we will refer to k-flow-critical graphs simply as k-critical. Any minimum counterexample for Tutte’s 3-Flow and 5-Flow Conjectures must be 3-critical and ...

A critical set in a Latin square of order n is a set of entries in a Latin square which can be embedded in precisely one Latin square of order n. Also, if any element of the critical set is deleted, the remaining set can be embedded in more than one Latin square of order n. In this paper we find all the critical sets of different sizes in the Latin squares of order at most six. We count the num...

In this paper, sequences of camera motions that lead to inherent ambiguities in uncalibrated Euclidean reconstruction or self-calibration are studied. Our main contribution is a complete, detailed classification of these critical motion sequences (CMS). The practically important classes are identified and their degrees of ambiguity are derived. We also discuss some practical issues, especially ...

Most Irish traditional folk dance music contains two musical themes; the tune begins with one musical theme which is usually repeated, then progresses to another theme with similar musical structure and motives, which is usually also repeated. The first section is typically called the A section while the second is called the B section. Our goal is to understand, at a quantitative level, the mus...

A rooted circuit is firstly introduced for convex geometries (antimatroids). We generalize it for closure systems or equivalently for closure operators. A rooted circuit is a specific type of a pair (X, e) of a subset X, called a stem, and an element e 6∈ X, called a root. We introduce a notion called a ‘prime stem,’ which plays the key role in this article. Every prime stem is shown to be a ps...

There has been much discussion in the literature regarding whether column profiles can cross distillation boundaries and by how much. The traditional crossing of boundaries demonstrated by Wahnschafft et al. (1993) represents a very constraint case and was of academic interest only as the operating region for columns was small. The goal of this paper is to show how the design by using column se...

This book is vol. 13 in a series of 16 state-of-the-art reports put out by Infotech. The book, as in the other Infotech reports that have been reviewed [1]-[3], appears to be more like the proceedings of a conference. The report is definitely not meant to be an introduction to minicomputers. Consequently, the novice student or unfamiliar engineer would be better off using the publication as a r...

We question the use of mechanical models, such as coin flipping, to represent the probabilities of gender distributions in sibship families consisting of two children. Both the assumptions of the models and the reliability of the data should be evaluated. Using models without these critical evaluations may tend to perpetuate myths rather than elucidate biological realities.