Motivated by the simulation of deformable bodies, we propose a new tetrahedral mesh generation algorithm that produces both high quality elements and a mesh that is well conditioned for subsequent large deformations. We use a signed distance function defined on a grid in order to represent the object geometry. After tiling space with a uniform lattice based on crystallography, we identify a sub...

1 Distance Fields Given an implicit surface ∂S with S ⊆ R the corresponding distance field (also called signed distance function) D : R → R which maps a point p from the domain of the distance field R to a real-valued distance value is obtained by distance transforming the surface using the formula D(p) = sign(p) ·min{d(p, q) : q ∈ S} (1) The metric d(p, q) used is the standard Euclidean metric...

Support Vector Machines (SVMs) were applied to interactive document retrieval that uses active learning. In such a retrieval system, the degree of relevance is evaluated by using a signed distance from the optimal hyperplane. It is not clear, however, how the signed distance in SVMs has characteristics of vector space model. We therefore formulated the degree of relevance by using the signed di...

1 Abstract We give a simple decoding algorithm to decode linear cyclic codes of odd length over the ring R = F2 + uF2 = f0; 1; u; u = u + 1g, where u 2 = 0. A spectral representation of the cyclic codes over R is given and a BCH like bound is given for the Lee distance of the codes. The ring R shares many properties of Z4 and F4 and admits a linear \Gray map". 1 0 1 u u u 0 u 1 u u 0 u u 0 + 0 ...

A novel algorithm is proposed to learn pattern similarities for texture image retrieval. Similar patterns in di erent texture classes are grouped into a cluster in the feature space. Each cluster is isolated from others by an enclosed boundary, which is represented by several support vectors and their weights obtained from a statistical learning algorithm called support vector machine (SVM). Th...

We give a new proof of short time existence for the classical motion by mean curvature of a smooth hypersurface. Our method consists in studying a fully nonlinear uniformly parabolic equation satisfied by the signed distance function to the surface

Background: Osteoarthritis is a common chronic disease of the musculoskeletal system in older adults. Aim: This study aimed to compare the effects of in-person and distance exercise training on the outcomes of knee injury and osteoarthritis among the elderly with limited literacy. Method: In this two-group randomized clinical trial with a pretest-posttest design, 60 elderly patients with knee i...