Automatic species identification has many advantages over traditional species identification. Currently, most plant automatic identification methods focus on the features of leaf shape, venation and texture, which are promising for the identification of some plant species. However, leaf tooth, a feature commonly used in traditional species identification, is ignored. In this paper, a novel auto...

Consider the situation in Figure 1. The radial projection maps the boundary of the square homeomorphically onto the circle. The net effect of this transformation was to smooth out the corners, while leaving the topology unchanged. We can then ask if we can smooth out the corners of any topological manifold, and if so, are there many different ways of doing this. This turns out to be a very subt...

We discuss the existence, uniqueness and multiplicity of large solutions of the equation u + u p = 0 in " u > 0 in " ; u = 0 on @ " ; where p > 1 and " R 2 is a bounded smooth domain which is obtained by connecting two disconnected domains by a small tunnel. We show that the geometry of the corners dominates the properties of the large solutions (bump-like solutions). When two corners are both ...

Phase-field models for strongly anisotropic surface energy need to be regularized remove the ill posedness of dynamic equations. Regularization introduces a new length scale, corner size, also called bending length. For large with respect interface thickness, phase-field method is known converge asymptotically toward sharp-interface theory when appropriate approximation Willmore used. In this w...

Traditionally, corners are found along step edges. In this paper, we present an alternative approach corners along ridges/troughs and local minima points. These features seem to be more reliable for tracking. A new approach for sub-pixel localization of these corners is suggested, using a local approximation of the image surface.

In the crystal structure of the title compound, [Fe(3)(NCS)(6)(C(4)H(4)N(2))(8)](n), each iron(II) cation is coordinated by four N-bonded pyrimidine ligands and two N-bonded thio-cyanate anions in a distorted octa-hedral environment. The asymmetric unit consists of one iron cation located on a crystallographic center of inversion, as well as one iron cation, three thio-cyanate anions and four p...

In this paper we consider tilings of rectangular regions with two types of tiles, 1× 2 tiles (dimers) and 1× 1 tiles (monomers). The tiles must cover the region and satisfy the constraint that no four corners of the tiles meet; such tilings are called tatami tilings. We provide a structural characterization and use it to prove that the tiling is completely determined by the tiles that are on it...