In this paper we present a nite di erence scheme for the discretization of the nonlinear PoissonBoltzmann(PB) equation over irregular domains that is second-order accurate. The interface is represented by a zero level set of a signed distance function using Octree data structure, allowing a natural and systematic approach to generate non-graded adaptive grids. Such a method guaranties computati...

Rich geometric understanding of the world is an important component many robotic applications such as planning and manipulation. In this paper, we present a modular pipeline for pose shape estimation objects from RGB-D images given their category. The core our method generative model, which integrate with novel initialization network differentiable renderer to enable 6D single or multiple views...

A novel region-based active contour model (ACM) is proposed in this paper. It is implemented with a special processing named Selective Binary and Gaussian Filtering Regularized Level Set (SBGFRLS) method, which first selectively penalizes the level set function to be binary, and then uses a Gaussian smoothing kernel to regularize it. The advantages of our method are as follows. First, a new reg...

This note addresses the following shape matching problem: given a ‘template’ shape, numerically described by means of a computational mesh, and a ‘target’ shape, known only via a signed distance function to its boundary, we aim at deforming iteratively the mesh of the template shape into a computational mesh of the target shape. To achieve this goal, we rely on techniques from shape optimizatio...

In this paper we present several performance and quality enhancements to classical sphere tracing: First, we propose a safe, over-relaxation-based method for accelerating sphere tracing. Second, a method for dynamically preventing self-intersections upon converting signed distance bounds enables controlling precision and rendering performance. In addition, we present a method for significantly ...

A methodology for solving three-dimensional crack problems with geometries that are independent of the mesh is described. The method is based on the extended 5nite element method, in which the crack discontinuity is introduced as a Heaviside step function via a partition of unity. In addition, branch functions are introduced for all elements containing the crack front. The branch functions incl...

When reconstructing objects from multiple range images one has to deal with the problem of large data sets. In our approach, the surface itself is implicitly defined by a signed distance function. The distance function is derived from the range images which are assumed to be already registered. A triangulated model is generated from a rough approximation of the object using the marching-cubes a...