Dense particulate flow simulations using integral equation methods demand accurate evaluation of Stokes layer potentials on arbitrarily close interfaces. In this paper, we generalize techniques for close evaluation of Laplace double-layer potentials in J. Helsing and R. Ojala, J. Comput. Phys. 227 (2008) 2899–2921. We create a “globally compensated” trapezoid rule quadrature for the Laplace sin...

Wrinkles are an extremely important contribution for enhancing the realism of human figure models. In this paper, we present an approach to generate static and dynamic wrinkles on human skin. For the static model, we consider micro and macro structures of the skin surface geometry. For the wrinkle dynamics, an approach using a biomechanical skin model is employed. The tile texture patterns in t...

Given a two dimensional oriented surface equipped with a simplicial mesh, the standard lowest order finite element spaces provide a complex X• centered on Raviart-Thomas divergence conforming vector fields. It can be seen as a realization of the simplicial cochain complex. We construct a new complex Y • of finite element spaces on the barycentric refinement of the mesh which can be seen as a re...

This work is devoted to the discretisation of non linear elliptic problems on general polyhedral meshes in several space dimensions. The SUSHI scheme which was recently studied for anisotropic heterogeneous problems is applied in its full barycentric version, thus resulting into a cell centred scheme written under variational form, also known as ’SUCCES’. We prove the existence of the approxima...

Barycentric coordinates for triangles are commonly used in computer graphics, geometric modelling, and other computational sciences for various purposes. In this paper, we extend this well-known concept and propose a generalization to sets of arbitrary polygons in the plane. Besides many other important properties, our coordinate functions are local and smooth and allow an efficient and robust ...

We propose a new family of barycentric coordinates that have closed-forms for arbitrary 2D polygons. These coordinates are easy to compute and have linear precision even for open polygons. Not only do these coordinates have linear precision, but we can create coordinates that reproduce polynomials of a set degree m as long as degree m polynomials are specified along the boundary of the polygon....

The sorting task is popular with sensory scientists because it provides rapid sensory profiles, even when product sets are complex or fatiguing. However, these sensory profiles generally cannot identify which sensory properties are driving subjects' perception of product similarities or differences—a critical task for the sensory analyst. This paper presents DISTATIS with Barycentric Text Proje...

We consider the dynamics of swarms of scalar Brownian agents subject to local imitation mechanisms implemented using mutual rank-based interactions. For appropriate values of the underlying control parameters, the swarm propagates tightly and the distances separating successive agents are iid exponential random variables. Implicitly, the implementation of rank-based mutual interactions, require...

Abstract. The metric Markov cotype of barycentric metric spaces is computed, yielding the first class of metric spaces that are not Banach spaces for which this bi-Lipschitz invariant is understood. It is shown that this leads to new nonlinear spectral calculus inequalities, as well as a unified framework for Lipschitz extension, including new Lipschitz extension results for CAT (0) targets. An...

This paper studies the motion control of a multi-arm freeflying space robot chasing a passive object in close proximity. Free-flyer kinematics are developed using a minimum set of body-fixed barycentric vectors. Using a general and a quasi-coordinate Lagrangian formulation, two dynamics models are derived. Control algorithms are developed that allow coordinated tracking control of the manipulat...