Algorithms for procedural generation and display of trees

Main goal of this paper is to explore in which situations should some procedural algorithm be used to generate a tree model. Each algorithm is modified so as to be able to generate a tree model whose shape resembles the required model. Space colonization algorithm, algorithm using particle flows and algorithm simulating a Lindenmayer system are compared depending on a time needed to generate a tree with similar complexity. The voxelization procedure of the model and its application in this context is explained. Method for generating a tree mesh on a graphics card using Bézier's curves is presented.