Radar reflectivity measurements from three different wavelengths are used to retrieve information about the shape of aggregate snowflakes in deep stratiform ice clouds. Dualwavelength ratios are calculated for different shape models and compared to observations at 3, 35 and 94 GHz. It is demonstrated that many scattering models, including spherical and spheroidal models, do not adequately descr...

We consider the problem of stable region detection and segmentation of deformable shapes. We pursue this goal by determining a consensus segmentation from a heterogeneous ensemble of putative segmentations, which are generated by a clustering process on an intrinsic embedding of the shape. The intuition is that the consensus segmentation, which relies on aggregate statistics gathered from the s...

Initial results have been obtained for automatic synthesis of MEMS mask-layouts using a genetic algorithm. An initial random population of geometrically valid mask-layouts (non-self intersecting 2D polygons) is produced. The fabrication of each layout is simulated using a 3-D simulation of etching. The 3-D results of the fabrication simulation are compared to a desired 3-D shape specified by us...

Eggshell is bioceramic material that produces by avian commonly contains of 94 % calcium carbonate, 1 magnesium phosphate, and 4 other organic element. This study proposed to investigate the synthesis characterization eggshell powders. The used in this involved chicken, duck, quail eggshells. nanopowder for reducing their grain size from micro nano ball milling process (solid state reaction) wi...

LiF, Mg and Ti cubical TLD chips (known as TLD-100) are widely used for dosimetry purposes. The repeatability of TL dosimetry is investigated by exposing them to doses of (81, 162 and 40.5 mGy) with 662keV photons of Cs-137. A group of 40 cubical TLD chips was randomly selected from a batch and the values of Element Correction Coefficient (ECC) were obtained 4 times by irradiating them to doses...

This paper presents the first polynomial time algorithm to compute geodesics in a CAT(0) cubical complex in general dimension. The algorithm is a simple iterative method to update breakpoints of a path joining two points using Owen and Provan’s algorithm (2011) as a subroutine. Our algorithm is applicable to any CAT(0) space in which geodesics between two close points can be computed, not limit...

We consider closed simplicial and cubical n-complexes in terms of link of their (n−2)faces. Especially, we consider the case, when this link has size 3 or 4, i.e., every (n − 2)face is contained in 3 or 4 n-faces. Such simplicial complexes with short (i.e. of length 3 or 4) links are completely classified by their characteristic partition. We consider also embedding into hypercubes of the skele...

We propose a new shape analysis approach based on the non-local analysis of local shape variations. Our method relies on a novel description of shape variations, called Local Probing Field (LPF), which describes how a local probing operator transforms a pattern onto the shape. By carefully optimizing the position and orientation of each descriptor, we are able to capture shape similarities and ...

Betti numbers are topological invariants that count the number of holes of each dimension in a space. Cubical complexes are a class of CW complex whose cells are cubes of different dimensions such as points, segments, squares, cubes, etc. They are particularly useful for modeling structured data such as binary volumes. We introduce a fast and simple method for computing the Betti numbers of a t...