We investigate visibility computations with moving viewpoints. The initial problems are of discrete and algorithmic nature, but even for simple classes of objects (such as balls and polytopes), they lead to interesting and difficult problems from real algebraic geometry. Namely, it is necessary to characterize and compute the common tangent lines to a given set of convex bodies. In particular, ...

Abstract. In the following paper, we present a consistent Newton-Schur solution approach for variational multiscale formulations of the time-dependent Navier–Stokes equations in three dimensions. The main contributions of this work are a systematic study of the variational multiscale method for three-dimensional problems, and an implementation of a consistent formulation suitable for large prob...

This paper presents the equilibrium and stiffness study of planar clustered tensegrity structures (CTS) considering pulley sizes. We first derive geometric relationship between strings pulleys, where nodal vector is chosen as generalized coordinate. Then, equations structure with pulleys based on Lagrangian method are given. Since a usually weakened when using clustering strings, we formulate t...

We present a novel bending model and constraint creation method for position-based dynamics. Our new bending model is introduced as an alternative to the current state-of-the-art dihedral bending model. Our model is motivated by geometric principles and operates on virtual triangles. It has the same cheap computational cost as the stick constraint model but with higher simulation quality and fa...