Abstract Folded surfaces of origami tessellations have attracted much attention because they often exhibit nontrivial behaviors. It is known that cylindrical folded waterbomb tessellation called tube can transform into peculiar wave-like surfaces, but the theoretical reason why arise has been unclear. In this paper, we provide a kinematic model by parameterizing geometry module and derive recur...

Accurate taxi demand-supply forecasting is a challenging application of ITS (Intelligent Transportation Systems), due to the complex spatial and temporal patterns involved. We investigate impact different partitioning techniques on prediction performance an LSTM (Long Short-Term Memory) network, in context forecasting. consider two tessellation schemes: (i) variable-sized Voronoi tessellation, ...

The present paper demonstrates how a natural crack mosaic resembling random tessellation evolves with repeated 'wetting followed by drying' cycles. system here is network in drying colloidal material, for example, layer of mud. A spring model used to simulate consecutive wetting and cycles mud layers until the matures. simulated results compare favourably reported experimental findings. evoluti...

In this paper we present a new diagonal balancing technique for regular matrix pencils λB − A, which aims at reducing the sensitivity of the corresponding generalized eigenvalues. It is inspired from the balancing technique of a square matrix A and has a comparable complexity. Upon convergence, the diagonally scaled pencil has row and column norms that are balanced in a precise sense. We also s...

This paper presents early work on a new approach for level of detail (LOD) rendering of leaves. The approach takes advantage of the new tessellation engine in computer graphics hardware to produce quads for leafs or leaf cluster billboards as needed in a single pass. The approach is based on area preservation and as such is conceptually simple. It runs fully on the GPU, freeing the CPU for othe...

We propose a method for providing high quality viewdependent tessellations of certain types of parametric surfaces including B-spline surfaces. The objective is to ensure that, regadless of the camera positions, the rendered triangles will cover approximately the same number of pixels. In order to do this efficiently we use graphics hardware to sample and evaluate the surfaces. In contrast to p...

For a stationary Poisson hyperplane tessellation $X$ in ${\mathbb R}^d$, whose directional distribution satisfies some mild conditions (which hold the isotropic case, for example), it was recently shown that with probability one every combinatorial type of simple $d$-polytope is realized infinitely often by polytopes $X$. This result strengthened here: one, such appears among not only often, bu...