A bstract We provide a simple geometric meaning for deformations of so-called $$ T\overline{T} T ¯ type in relativistic and non-relativistic systems. Deformations by the cross products energy momentum currents integrable quantum field theories are known to modify ther...

We show that B-type Π-stable D-branes do not in general reduce to the (Gieseker-) stable holomorphic vector bundles used in mathematics to construct moduli spaces. We show that solutions of the almost Hermitian Yang–Mills equations for the non-linear deformations of Yang–Mills instantons that appear in the low-energy geometric limit of strings exist iff they are π-stable, a geometric version of...

In recent years, research efforts to extend linear metric learning models to handle nonlinear structures have attracted great interests. In this paper, we propose a novel nonlinear solution through the utilization of deformable geometric models to learn spatially varying metrics, and apply the strategy to boost the performance of both kNN and SVM classifiers. Thin-plate splines (TPS) are chosen...

We present a methodology of accurately reconstructing the deformation and surface characteristics of a scanned 3D model recorded in real-time within a Finite Element Model (FEM) simulation. Based on a sequence of generated surface deformations defining a reference animation, we illustrate the ability to accurately replicate the deformation behavior of an object composed of an unknown homogeneou...

-This paper presents an effective method for the image watermarking using visual perception model based on statistical features in the low frequency domain. In the image watermarking community watermark resistance to geometric attacks is an important issue. Most countermeasures proposed in the literature usually focus on the problem of global affine transforms such as rotation, scaling and tran...

Local scale variations within the same species are common in nature. The shape matching puzzle poses fascinating questions, like how should we measure the discrepancy between a small dog with large ears and a large one with small ears? are there similar geometric structures that are common to an elephant and a giraffe? what is the morphometric similarity between a blue whale and a dolphin? Exis...

One of the approaches to collision-free non-holonomic motion planning is the \approximation method". The corresponding planners compute rst a holonomic path among obstacles before approximating it by a concatenation of feasible collision-free paths. These methods are one of the rare ones which can lead to exact and complete planners. However, the performance of these planners (in terms of compu...

This paper deals with the dynamical analysis and uncertainty quantification of a mistuned industrial rotating integrally bladed disk, for which the operating regime under consideration takes into account the nonlinear geometrical effects induced by large displacements and deformations. First, a dedicated mean nonlinear reduced-order model of the tuned structure is explicitly constructed using t...

Free-form deformations (FFD) constitute an important geometric shape modification method that has been extensively investigated for computer animation and geometric modelling. In this work, we show that FFDs are also very effective to fit deformable models to the kind of noisy 3–D data that vision algorithms such as stereo tend to produce. We advocate the use of Dirichlet Free Form Deformation ...

Recently there has been an increasing demand for software that can help designers create functional 3D objects with required physical strength. We introduce a generic and extensible method that directly optimizes a shape subject to physical and geometric constraints. Given an input shape, our method optimizes directly its input mesh representation until it can withstand specified external force...