This paper introduces vector agents (VA), an approach to impose a systematic framework on the geometric element of Torrens and Benenson’s Geographic Automata System (GAS). Both schemes use vector geometry as an antidote to the geographically unrealistic regular tessellation cellular automata (CA). The work reported here explores the properties of irregular and dynamic VAs in particular, a subcl...

The quadtree data structure is extensively used in representing 2dimensional data in many applications like image processing, cartographic data processing. VLSI embedding, graphics, computer animation, computer-aided architecture, etc. The data structure employs the divideand-conquer technique to recursively decompose the planar region. This paper addresses the problem of planar tessellation wh...

In this paper we present a means to generate a receptive field tessellation for an artificial retina using a self-organisation methodology. The approach addresses the problem of creating a receptive field tessellation that seamlessly changes from the uniform fovea to the spacevariant periphery of a retina. We sampled and reconstructed images by placing overlapping space-variant receptive fields...

Biological vision systems process signals extracted by a retina that reduces the dimensionality of visual information for processing by higher cortical areas. To date researchers in machine vision have not reported computing a biologically inspired artificial retina that can sample visual information without over-sampling the central foveal region or creating discontinuities in the retinal tess...

The tessellation we present contains a minimal number of vertices: they are the n-th roots of unity in the six standard projective lines CP in CP, and are the obvious vertices to start a construction of a natural tessellation for Fn. Our tessellation is invariant under the action of the obvious isomorphism group of Fn induced by permutations and phase multiplications of the coordinates, and the...

Topologies of large deformation Contact-aided Compliant Mechanisms (CCMs), with self and mutual contact, exemplified via path generation applications, are designed using the continuum synthesis approach. Design domains are parameterized using honeycomb tessellation. Assignment of material to each cell, and generation of rigid contact surfaces, are accomplished via suitably sizing and positionin...

Pseudo Voronoi Tessellation via Anisotropic Meshing Our tessellation technique to represent organic texture consists of three steps: (1) elliptic or rectangular particle packing; (2) anisotropic meshing by connecting the centers of the particles; and (3) Voronoi tessellation as a dual of the anisotropic mesh. Given preferred cell sizes and directionality within a geometric domain, the technique...

Viscoelastic granular materials are present in several disciplines. One example is asphalt mixture employed road construction. In the last three decades, discrete element modeling has been positioned as a valid tool for analysis of this multiphase material at grain-scale. All despite simplification shape particles used these studies. work, it proposed simplified procedure generation viscoelasti...