In this paper, we propose a new statistical framework for modeling and extracting 2D moving deformable objects from image sequences. The object representation relies on a hierarchical description of the deformations applied to a template. Global deformations are modeled using a Karhunen Loeve expansion of the distorsions observed on a representative population. Local deformations are modeled by...

Hollow cylindrical and truncated conical shells depict enhanced torsional shear resistance compared to beams plates are ubiquitously used in structures aeronautics, submarines, wind turbines, pressure vessels, transmission pylons. Upon extensive localised blast, these elements undergo local global deformation failure. The detrimental damage the shell depends on stand-off charge mass is proporti...

Non-metric consumer cameras have become more and more advanced in the recent years. Their capability to measure deformations has been tested and described in the paper. Two preliminary experiments were conducted. In the first preliminary experiment a test of image matching and geometric accuracy was conducted. Based on that test, second preliminary test was conducted in which we tested three no...

This paper is concerned with deformations of structures on manifolds. It is divided into two parts: Part A treats the question of defining a general theory of deformations which will generalize the theory in, e.g. [1 ], [7], and [10], while at the same time retaining some geometric or analytical significance. The second section, Part B, investigates in more detail the implications of our genera...

The simulations of underwater implosion, aerodynamics of flexible flapping-wing micro air vehicles, aeroelastic tailoring of racing cars, and high-G maneuvers of fighter aircraft share the challenge of computing fluid-structure interactions in highly nonlinear multi-material domains. Indeed, the implosive collapse of a submerged, gas-filled structure and its subsequent effect on the structural ...

Experimental results for quasi-static cyclic tests on reinforced concrete (RC) walls have shown that shear deformations can constitute a significant ratio of the total deformations when the wall is loaded beyond the elastic regime. For walls, which form a stable flexural hinge at their base, the ratio of shear to flexural deformations remains approximately constant over the entire range of impo...

Algebraic scheme for constructing deformations of structure constants for associative algebras generated by a deformation driving algebras (DDAs) is discussed. An ideal of left divisors of zero plays a central role in this construction. Deformations of associative three-dimensional algebras with the DDA being a three-dimensional Lie algebra and their connection with integrable systems are studied.

We show that the graded Frobenius formal deformations of the de Rham cohomology of a closed simply connected KK ahler manifold are governed by the dual of real-valued cohomology of its free loop space. This is a sequel to 9] in which the author showed that the deformations of the de Rham cohomology of a closed simply connected KK ahler manifold are governed by the dual of the real-valued cohomo...

Additive deformations of bialgebras in the sense of Wirth are deformations of the multiplication map of the bialgebra fulfilling a compatibility condition with the coalgebra structure and a continuity condition. Two problems concerning additive deformations are considered. With a deformation theory a cohomology theory should be developed. Here a variant of the Hochschild cohomology is used. The...

Algebraic scheme for constructing deformations of structure constants for associative algebras generated by a deformation driving algebras (DDAs) is proposed. An ideal of left divisors of zero plays a central role in this construction. Deformations of associative commutative three-dimensional algebras with the DDA being a three-dimensional Lie algebra and their connection with integrable system...