Rendering of textured terrain models has become a widely used technique in the field of GIS applications and virtual reality. In this paper, we propose a framework based on tile-pyramid model and linear quadtree tile-index, which enable the real-time rendering of out-of-core terrain data sets while guaranteeing geometric and texture accuracy. The digital elevation model tile pyramid and the ort...

and Kinetic Tile Assembly Model In the following section I will explain the model behind the Xgrow simulator. I will first explain the aTAM model which is the basis of kTAM, and then I will explain the improvements in kTAM. The Abstract Tile Assembly Model (aTAM) was proposed by Erik Winfree as a practical variation on Wang tiling. Although the model generalizes to any number of dimensions, muc...

Past proposals for applying to pictures or 2D languages the generative grammar approach do not match in our opinion the elegance and descriptive adequacy that made Context Free grammars so successful for 1D languages. In a renewed attempt, a model named Tile Rewriting Grammar is introduced combining the rewriting rules with the Tiling System of Giammaresi and Restivo which define the family of ...

Let T be a nite set of tiles. The group of invariants G (T), introduced by the author P], is a group of linear relations between the number of copies of tiles in tilings of the same region. We survey known results about G , the height function approach, the local move property, various applications and special cases.

In this paper we introduce a model for a wide class of computational systems, whose behaviour can be described by certain rewriting rules. We gathered our inspiration both from the world of term rewriting, in particular from the rewriting logic framework Mes92], and of concur-rency theory: among the others, the structured operational semantics Plo81], the context systems LX90] and the structure...

Tom Scherer Extension Agricultural Engineer The presence of salts and high water tables in North Dakota soils due to an extended climactic wet cycle recently has stimulated interest in the installation of tile drainage systems. The tile controls the water table and encourages the leaching and removal of salts from the soil above the tile lines. This improves soil productivity, culminating in im...

We study self-affine tilings of R n with special emphasis on the two-digit case. We prove that in this case the tile is connected and, if n 3, is a lattice-tile.

Two of the most studied tile self-assembly models in the literature are the abstract Tile Assembly Model (aTAM) [7] and the Two-Handed Tile Assembly Model (2HAM) [4]. Both models constitute a mathematical model of self-assembly in which system components are four-sided Wang tiles with glue types assigned to each tile edge. Any pair of glue types are assigned some nonnegative interaction strengt...

We study self-aane tilings of R n with special emphasis on the two-digit case. We prove that in this case the tile is connected and, if n 3, is a lattice-tile.