We present a novel approach to morph between two isometric poses of the same non-rigid object given as triangular meshes. We model morphs as linear interpolations in a suitable shape space S. For triangulated 3D polygons, we prove that interpolating linearly in this shape space corresponds to the most isometric morph in R. We then extend this shape space to arbitrary triangulations in 3D using ...

A co-volume scheme is introduced for the rotating shallow water equations, in which both velocity components are specified on cell edges, and the thickness variables evolve on both the primary and the dual cell centers. The scheme applies to generic, conforming and non-orthogonal staggered grids, including the widely used lat-lon quadrilateral grids and the Delaunay-Voronoi tessellations. It ca...

There is a stage in the GPU computing pipeline where a grid of thread-blocks is mapped to the problem domain. Normally, this grid is a k-dimensional bounding box that covers a k-dimensional problem no matter its shape. Threads that fall inside the problem domain perform computations, otherwise they are discarded at runtime. For problems with non-square geometry, this is not always the best idea...

Abstract We study the possible dynamical degrees of automorphisms affine space $\mathbb {A}^n$ . In dimension $n=3$ , we determine all arising from composition an automorphism with a triangular one. This generalizes easier case shift-like which can be studied in any dimension. also prove that each weak Perron number is degree affine-triangular for some n and give best quadratic integers, either...

It is proved that the operators σ n of the triangular-Fejérmeans of a two-dimensional Walsh–Fourier series are uniformly bounded from the dyadic Hardy space Hp to Lp for all 4/5 < p ≤ ∞.

A set of meet-irreducible ideals is described for a class of maximal triangular almost finite algebras. This set forms a topological space under the hull-kernel closure, and there is a one-to-one correspondence between closed sets in this space and ideals in the AF algebra. Some connections with nest representations and nestprimitive ideals are also described.

Recently, Azam, Arshad and Beg introduced the notion of cone rectangular metric spaces by replacing the triangular inequality of a cone metric space by a rectangular inequality. In this paper, we extend the Kannan’s fixed point theorem in such spaces.

We present data structures for triangular emptiness and reporting queries for a planar point set, where the query triangle contains the origin. The data structures use near-linear space and achieve polylogarithmic query times.

Quantum Lorentz groups H admitting quantum Minkowski space V are selected. Natural structure of a quantum space G = V × H is introduced, defining a quantum group structure on G only for triangular H (q = 1). We show that it defines a braided quantum group structure on G for |q| = 1.