This paper presents a set of algorithms to improve the quality of triangulated 3D models representing real environments. The objective of the work is to improve the details of the 3D models (acquired using laser range sensors), which the automated 3D reconstruction procedures are not able to describe. The approach followed in this work is to apply specific geometric algorithms either on the ent...

Consider a planar linkage, consisting of disjoint polygonal arcs and cycles of rigid bars joined at incident endpoints (polygonal chains), with the property that no cycle surrounds another arc or cycle. We prove that the linkage can be continuously moved so that the arcs become straight, the cycles become convex, and no bars cross while preserving the bar lengths. Furthermore, our motion is pie...

Surgery to align the two eyes is commonly used in treating strabismus. However, the role of strabismic surgery on patients' binocular visual processing is not yet fully understood. In this study, we asked two questions: (1) Does realigning the eyes by strabismic surgery produce an immediate benefit to patients' sensory eye balance? (2) If not, is there a subsequent period of "alignment adaptati...

The (semi)standard Young tableau have been known since Hodge and Littlewood to naturally index a basis for the multihomogeneous coordinate rings of flag varieties under the Plücker embedding. In representation theory, the irreducible representations of GLn(C) arise as the multihomogeneous components of these rings. I introduce a new class of straight tableau by slightly weakening the requiremen...

We produce a new basis for the Schur and Weyl modules associated to a row-convex shape D. The basis is indexed by new class of \straight" tableaux which we introduce by weakening the usual requirements for standard tableaux. Spanning is proved via a new straightening algorithm for expanding elements of the representation into this basis. For skew shapes, this algorithm specializes to the classi...

We propose an efficient representation for studying shapes of closed curves in R. This paper combines the strengths of two important ideas elastic shape metric and path-straightening methods and results in a very fast algorithm for finding geodesics in shape spaces. The elastic metric allows for optimal matching of features between the two curves while path-straightening ensures that the algori...

The article focuses on studying the crankshaft as an essential part of marine internal combustion engine. Typical defects crankshafts diesel engines are considered. loads causing curvature a axis under operating conditions indicated. causes and nature violation shaft geometry determined. statistical assessment in cases axle warping during operation is found necessary. recommendations Russian Ma...