This paper provides a bridge between the classical tiling theory and cellular automata on one side, and the complex neighborhood self-assembling situations that exist in practice, on the other side. A neighborhood N is a finite set of pairs (i, j) ∈ Z, indicating that the neighbors of a position (x, y) are the positions (x + i, y + j) for (i, j) ∈ N . This includes classical neighborhoods of si...

Some tiles derived from regular polygons can produce spiral tilings of the plane [1]. This paper considers some more general classes of tilings with tiles derived from regular polygons, some have central symmetry, many have periodic symmetry, some have both, and a few have no symmetry at all. Any of these tiling patterns could be the basis for some interesting mathematical art, for example by c...

A reconngurable architecture is proposed for prototyping datapath designs. The design consists of a regular array of identical lookup-table-based tiles. Tiles in one dimension can be mapped as pipe stages of a datapath. Tiles in the other dimension correspond to the width of the datapath. The design has been veriied through a VHDL description of the tile array with a SPARC CY7C601 datapath exec...

In this paper, we present a tile effect generation algorithm. The presented method cuts a given pictures with small-size tiles and an original image is composed of those tiles. The size of tiles is generated by random function. We use four parameters: size of horizontal and vertical block, size of skip blocks in horizontal and vertical direction. The presented method is tested on McM dataset. S...

DNA origami and single-stranded tile (SST) are two proven approaches to self-assemble finite-size complex DNA nanostructures. The construction elements appeared in structures from these two methods can also be found in multi-stranded DNA tiles such as double crossover tiles. Here we report the design and observation of four types of finite-size lattices with four different double crossover tile...

This paper presents TextTiling, a method for partitioning full-length text documents into coherent multiparagraph units. The layout of text tiles is meant to reflect the pattern of subtopics contained in an expository text. The approach uses lexical analyses based on tf.idf, an information retrieval measurement, to determine the extent of the tiles, incorporating thesaural informationvia a stat...

Presented is an algorithm for automatic production of a video abstract of a feature film, similar to a movie trailer. It selects clips from the original movie based on detection of special events like dialogs, shots, explosions and text occurrences, and on general action indicators applied to scenes. These clips are then assembled to form a video trailer using a model of editing. Additional cli...

Classic mosaic is one of the oldest and most durable art forms. There has been a growing interest in simulating classic mosaics from digital images recently. To be visually pleasing, a mosaic should satisfy the following constraints: tiles should be non-overlapping, tiles should align to the perceptually important edges in the underlying digital image, and orientation of the neighbouring tiles ...

Presented is an algorithm for automatic production of a video abstract of a feature film, similar to a movie trailer. It selects clips from the original movie based on detection of special events like dialogs, shots, explosions and text occurrences, and on general action indicators applied to scenes. These clips are then assembled to form a video trailer using a model of editing. Additional cli...

We present a simple framework for image enhancement using local image information. The main idea is to divide the image into small tiles and individually enhance each of these tiles. Enhanced tiles are then mosaicked back together. Our approach is presented for enhancement of fluorescent microscopy images and demonstrates better local contrast preservation and saturation reduction in comparison...