Over the past two decades, the Leizhou Peninsula has suffered from many geological hazards and great property losses caused by land subsidence. However, the absence of a deformation map of the whole peninsula has impeded the government in making the necessary decisions concerning hazard prevention and mitigation. This study aims to provide the evolution of land deformation (subsidence and uplif...

One of the techniques in digital geometry processing that has been studied for many years is mesh deformation. Recently, researchers have proposed deformation methods that preserve certain aspects of the mesh, such as geometric features and material properties. In this project we look at preserving developability of a surface. Specifically, if it is known that a surface is developable before de...

We consider the problem of constructing quasi-conformal mappings between surfaces by solving Beltrami equations. This is of great importance for shape registration. In the physical world, most surface deformations can be rigorously modeled as quasi-conformal maps. The local deformation is characterized by a complex-value function, Beltrami coefficient, which describes the deviation from conform...

Virtual characters are being modeled and animated with increasing accuracy and photorealism in current games and virtual reality simulations. However, the detailed modeling of dynamic skin deformations due to movement of the muscles during articulation is still prohibitively expensive for real-time simulations. We present in this paper a fast approach for modeling such deformations driven by El...

In this paper, we propose an easy-to-use real-time method to simulate realistic deformation of human skin. We utilize the fact that various skin deformations such as wrinkles, bulging and protruding bones can be categorized into various deformation patterns. A deformation pattern for a local skin region is represented using a dynamic height map. Users of our system specify a region of the body ...

unlike the classical deformation analysis of the earth crust, which derives the planar and vertical strains separately, in this study, we have offered a method for 3-d deformation study based on intrinsic geometry of the manifolds on the topographic surface of the earth. in this way, our method would be based on the 2-d metric tensor of horizontal deformation and 2-d curvature tensor of vertica...

The formality theorem for Hochschild chains of the algebra of functions on a smooth manifold gives us a version of the trace density map from the zeroth Hochschild homology of a deformation quantization algebra to the zeroth Poisson homology. We propose a version of the algebraic index theorem for a Poisson manifold which is based on this trace density map. 1991 MSC: 19K56, 16E40.