prediction of mechanical properties of carbon nanotube-based composite is one of the important issues which should be addressed reasonably. a proper modeling approach is a multi-scale technique starting from nano scale and lasting to macro scale passing in-between scales of micro and meso. the main goal of this research is to develop a multi-scale modeling approach to extract mechanical propert...

In this paper, we explore the surface tessellation problem, in particular, the problem of meshing a surface with the added consideration of incorporating constructible building components. When a surface is tessellated into discrete counterparts, there are certain conditions that usually occur at the boundary of the surface, especially, when the surface is being trimmed, for example, irregularl...

This paper presents an algorithm to compute the minimal tessellation of 1-irregular elements such as cuboids, rectangular prisms and pyramids. The minimal tessellation is the one that contains the minimum number of terminal elements. Terminal elements are the elements that compose the nal mesh. The complete mesh fulllls the Delaunay condition and is adequate for the control volume discretizatio...

In this paper, we explore the surface tessellation problem, in particular, the problem of meshing a surface with the added consideration of incorporating constructible building components. When a surface is tessellated into discrete counterparts, there are certain conditions that usually occur at the boundary of the surface, especially, when the surface is being trimmed, for example, irregularl...

We present an algorithm for image segmentation with irregular pyramids. Instead of starting with the original pixel grid, we rst apply an adaptive Voronoi tessellation to the image. For irregular pyramid construction we present a Hoppeld neural network which controls the decimation process. The validity of our approach is demonstrated by several examples in image segmentation.

An irregular lattice model is proposed for simulating quasistatic fracture in softening materials. Lattice elements are defined on the edges of a Delaunay tessellation of the medium. The dual sVoronoid tessellation is used to scale the elemental stiffness terms in a manner that renders the lattice elastically homogeneous. This property enables the accurate modeling of heterogeneity, as demonstr...

When we map an area or create a digital database for it, the first task is often to partition the space into smaller units. There are traditionally two methods of partition called vector and raster. A vector partition delineates the boundary of features by lines while a raster partition subdivides space into a regular matrix of square or rectangular pixels. The two partitions are complementary ...

We present a method for medial surface reconstruction from volumetric data of thin-plate objects including junctions. Given medial voxels and distance fields computed from binarized volumes, we polygonize medial voxels by covering them with spherical supports and connecting the center points of the supports. These spherical supports are constructed by distributing spheres depending on the topol...

Many methods for object recognition, segmentation, etc., rely on tessellation of an image into “superpixels”. A superpixel is an image patch which is better aligned with intensity edges than a rectangular patch. Superpixels can be extracted with any segmentation algorithm, however, most of them produce highly irregular superpixels, with widely varying sizes and shapes. A more regular space tess...