Triforce and corners

Parallelogram Polyominoes and Corners

(Received) We give an equation satissed by the generating function for parallelogram polyominoes according to the area, the width and the number of left path corners. Next, we give an explicit formula for the generating function of these polyominoes according to the area, the width and the number of right and left paths corners.

TRIFORCE: Tessellated Semianalytical Solvent Exposed Surface Areas and Derivatives

We present a new approach to the calculation of solvent-accessible surface areas of molecules with potential application to surface area based methods for determination of solvation free energies. As in traditional analytical and statistical approaches, this new algorithm, called TRIFORCE, reports both component areas and derivatives as a function of the atomic coordinates and radii. Unique to ...

Finding Corners

Many important image cues such as 'T'-,'X'and 'L'junctions have a local two-dimensional structure. Conventional edge detectors are designed for one-dimensional 'events'. Even the best edge operators can not reliably detect these two-dimensional features. This contribution proposes a solution to the two-dimensional problem. In this paper, I address the following: • 'L'-junction detection. Previo...

Cutting Corners

Homology and manifolds with corners

We define a model for the homology of manifolds and use it to describe the intersection product on the homology of compact oriented manifolds and to define homological quantum field theories which generalizes the notions of string topology introduced by Chas and Sullivan and homotopy quantum field theories introduced by Turaev.