An alternative formulation of the phase field method is utilized from an integral equation perspective. The technique allows one to derive macroscopic conditions at the interface from the microscopic potentials. Differential geometry and asymptotic analysis yield interface conditions, in arbitrary spatial dimension, for interactions that may include anisotropy as well as non-local potentials. T...

Low count tetrahedral meshes is desirable for animating deformable objects where accuracy is less important and to produce shell maps. This report develops a new method for creating a thick shell tetrahedral mesh from a triangular surface mesh. We propose to use signed distance fields to implicit represent the medial surface representation of a surface mesh. An iteratively algorithm is develope...

By using the Onsager variational principle as an approximation tool, we develop a new diffusion generated motion method for wetting problems. The uses signed distance function to represent interface between liquid and vapor surface. In each iteration, linear equation with boundary condition is solved one time step in addition simple re-distance volume correction step. has first-order convergenc...

3D shape generation is widely applied in various industries to create, visualize, and analyse complex data, designs, simulations. Typically, uses a large dataset of shapes as the input. This paper proposes variational autoencoder with signed distance function relativistic average generative adversarial network, referred 3D-VAE-SDFRaGAN, for from 2D input images. Both network (GAN) (VAE) algorit...

Level set methods for moving interface problems require efficient techniques for transforming an interface to a globally defined function whose zero set is the interface, such as the signed distance to the interface. This paper presents efficient algorithms for this “redistancing” problem. The algorithms use quadtrees and triangulation to compute global approximate signed distance functions. A ...

A novel shape based segmentation approach is proposed by modifying the external energy component of a deformable model. The proposed external energy component depends not only on the gray level of the images but also on the shape information which is obtained from the signed distance maps of objects in a given data set. The gray level distribution and the signed distance map of the points insid...

In this paper, a self-tuning fuzzy sliding-mode controller design approach with decoupled method is proposed. The decoupled method provides a simple way to achieve asymptotic stability for a class of fourth-order nonlinear system. Moreover, heuristic sliding factors are implemented as fuzzy inference. Therefore, the proposed method eliminates the trial-and-error process for finding appropriate ...

In this paper, we present a robust method for creating a triangulated surface mesh from multiple range images. Our method merges a set of range images into a volumetric implicit-surface representation which is converted to a surface mesh using a variant of the marching-cubes algorithm. Unlike previous techniques based on implicit-surface representations, our method estimates the signed distance...