Discrete tomography deals with reconstructing finite spatial objects from their projections. The objects we study in this paper are called tilings or tile-packings, and they consist of a number of disjoint copies of a fixed tile, where a tile is defined as a connected set of grid points. A row projection specifies how many grid points are covered by tiles in a given row; column projections are ...

The work presented in this paper shows the way to generate colored paper mosaics using computer graphics techniques. Following two tasks need to be done to generate colored paper mosaic. The first one is to generate colored paper tile and the other one is to arrange the tile. Voronoi Diagram and Random Point Displacement have been used in this paper to come up with the shape of the tile. And, e...

We present the tile style, an architectural style that allows the creation of distributed software systems for solving NP-complete problems on large public networks. The tile style preserves the privacy of the algorithm and data, tolerates faulty and malicious nodes, and scales well to leverage the size of the public network to accelerate the computation. We exploit the known property of NP-com...

Molecular self-assembly, the formation of large structures by small pieces of matter sticking together according to simple local interactions, is a ubiquitous phenomenon. A challenging engineering goal is to design a few molecules so that large numbers of them can self-assemble into desired complicated target objects. Indeed, we would like to understand the ultimate capabilities and limitations...

Our objective was to grade, by computer-assisted quantitative image tile analysis, the intraepithelial neoplasia (also called dysplasia) that develops in esophagi of rats given N-nitrosomethybenzylamine (NMBA) for 5 weeks. To perform image tile analysis, the computer divides the video image of the neoplastic epithelium into a row of contiguous small rectangular images, or "tiles," 84 x 292 micr...

Experimental demonstration of the Turing universal tile based algorithmic DNA self-assembly has been limited by significant assembly errors. An important class of errors, called co-ordinated growth errors, occur when an incorrect tile binds to a growing assembly even when some of its pads are mismatched with its neighbors. Activatable DNA tiles, introduced originally by [12], employ a protectio...

We have designed and experimentally demonstrated the self-assembly of an addressable DNA lattice (i.e., a unique tile for each position in the lattice) using a two-step tile annealing procedure. Our method can be applied to a variety of systems including algorithmic tiling systems to expand the basic tile set.