In this report, we describe a novel method to simultaneously and accurately estimate the 3D shape and 3D motion of a dynamic scene from multiple-viewpoint calibrated videos. We follow a variational approach in the vein of previous work on stereo reconstruction and scene flow estimation. We adopt a representation of a dynamic scene by an animated mesh, i.e. a polygonal mesh with fixed connectivi...

This paper presents an adaptive mesh moving technique for three-dimensional (3D) fluid flow problems that involve moving fluid boundaries and fluid–solid interfaces. Such mesh moving techniques are an essential ingredient of fluid–structure interaction methods that typically employ arbitrary Lagrangian– Eulerian (ALE) frameworks. In the ALE frame, the velocity field representing motion of the u...

A scheme using the mesh-free generalized finite differencing (GFD) on flows past moving bodies is proposed. The aim is to devise a method to simulate flow past an immersed moving body that avoids the intensive remeshing of the computational domain and minimizes data interpolation associated with the established computational fluid methodologies; as such procedures are time consuming and are a s...

Morphing is an important technique for the generation of special effects in computer animation. However, an analogous technique has not yet been applied to the increasingly prevalent animation representation, i.e. 3Dmesh sequences. In this paper, a technique for morphing between two mesh sequences is proposed to simultaneously blend motions and interpolate shapes. Based on all possible combinat...

This paper addresses 2-D mesh-based object tracking and mesh-based object mosaic construction for synthetic transguration of deformable video objects with deformable boundaries in the presence of another occluding object and/or self-occlusion. In particular, we update the 2-D triangular mesh model of a video object incrementally to account for the newly uncovered parts of the object as they are...

This paper presents a new preconditioning technique for large-scale geometric optimization problems, inspired by applications in mesh parameterization. Our positive (semi-)definite preconditioner acts on the gradients of optimization problems whose variables are positions of the vertices of a triangle mesh in R2 or of a tetrahedral mesh in R3, converting localized distortion gradients into the ...

We describe a new method for computing the displacement vector eld in time sequences of 3D images (4D data). The method is an energy-minimizing method; the energy is split into two terms, with one term matching diierential singularities in the images, and the other constraining the regularity of the eld. In order to reduce the computational time, we introduce an adaptive volume mesh the resolut...

Difficulties associated with free-surface finite element flow simulations are related to a) nonlinear and advective nature of most hydrodynamic flows, b) requirements for compatibility between velocity and pressure interpolation, c) maintaining a valid computational mesh in the presence of moving boundaries, and d) enforcement of the kinematic conditions at the free surface. Focusing on the las...