In this paper we present error estimates for kernel interpolation at scattered sites on manifolds. The kernels we consider will be obtained by the restriction of positive definite kernels on Rd, such as radial basis functions, to a smooth, compact embedded submanifold M ⊂ Rd with no boundary. For restricted kernels having finite smoothness, we provide a complete characterization of the native s...

In this paper, a variation of Murakami’s Zig-Zag theory is proposed for the analysis of functionally graded plates. The new theory includes a hyperbolic sine term for the in-plane displacements expansion and accounts for through-the-thickness deformation, by considering a quadratic evolution of the transverse displacement with the thickness coordinate. The governing equations and the boundary c...

In this paper, the static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to a sinusoidal shear deformation theory (SSDT). The SSDT theory accounts for through-the-thickness deformation, by considering a sinusoidal evolution of all displacements with the thickness coordinate. The equations of motion and the boundary conditions are ob...

With the increasing performances of the graphics hardware, virtual reality applications are reaching a new level of realism. It is now possible to animate entire crowds of virtual avatars, or to display in real-time highly realistic deformable characters. This new type of applications requires that characters are deformed, either to generate a large number of individuals for creating a crowd, o...

The paper presents a novel elastic image-matching algorithm, which is capable of treating some pre-selected parts of an image as rigid objects, while remainder of the image can be elastically deformed. The proposed method uses a spring-mass system to model deformations caused by displacement of the rigid objects and/or pre-selected feature landmarks. The proposed method gives more control over ...

Visual mouth information has been proved to be very helpful for understanding the speech contents. The synthesis of the corresponding face video directly from the speech signals is strongly demanded since it can significantly reduce the amount of video information for transmission. In this paper, we present a novel statistical learning approach that learns the mappings from input voice signals ...

The requirements for interpolation of scattered data are high accuracy and high efficiency. In this paper, a piecewise bivariate Hermite interpolant satisfying these requirements is proposed. We firstly construct a triangulation mesh using the given scattered point set. Based on this mesh, the computational point (x, y) is divided into two types: interior point and exterior point. The value of ...

A frequently used method to handle scattered data approximation problems on different structures is the interpolation by linear combinations of a single positive definite kernel. Here the underlying positive definite kernel is responsible for the quality of the common estimates of the two main issues in this approximation process. Firstly the approximation error and secondly the stability of th...