The Wang Tiles method is a successful and effective technique for the representation of 2D-texture or 3D-geometry. In this paper we present a new method to fill Wang tiles with a 2D-FON distribution or a 3D-geometry in order to achieve a more efficient runtime. We extend the Wang Tiles method to include information about their position. We further demonstrate how the individual tiles are filled with different intensities by using the FON distribution. Additionally, we present several new methods to eliminate errors between the tile edges and the different resource areas applying FON and corners relaxation techniques.

This paper suggests a procedural biologically motivated method to simulate the development of leaf contours and the generation of different levels of leaf venation systems. Leaf tissue is regarded as a viscous, incompressible fluid whose 2D expansion is determined by a spatially varying growth rate. Visually realistic development is described by a growth function relative elementary growth rate that reacts to hormone (Auxin) sources embedded in the leaf blade. The shape of the leaf is determined by a set of feature points at the leaf contour. The contour is extracted from images utilizing the curvature scale space corner detection algorithm. Auxin transport is described by an initial Auxin flow from a source to a sink that is gradually channelized into cells with large amounts of highly polarized transporters. The proposed model simulates leaf forms ranging from simple shapes to lobed leaves. The third level of venation system is generated using centroidal Voronoi tessellations and minimum spanning trees, whereas the size of each cell within the Voronoi-diagram is related to the involved quantity of Auxin.

This paper presents biologically-motivated a procedural method for the simulation of leaf contour growth and venation development. We use a mathematical model for simulating the growth of a plant leaf. Leaf tissue is regarded as a viscous, incompressible fluid whose 2D expansion is determined by a spatially varying growth rate. Visually realistic development is described by a growth function RERG that reacts to hormone (auxin) sources embedded in the leaf blade. The shape of the leaf is determined by a set of feature points within the leaf contour. The contour is extracted from photos by utilizing a Curvature Scale Space (CSS) Corner Detection Algorithm. Auxin transport is described by an initial auxin flux from an auxin source to an auxin sink that is gradually channelized into cells with high levels of highly polarized transporters. The leaf is presented as a triangulated double layer structure that consists of a Voronoi-Diagram that is discretised along the vein structures.