Tomasz Zawadzki

The Hybrid Algorithm for Procedural Generation of Virtual Scene Components

The aim of this paper is to present a 3D hybrid shape construction that benefits from discrete and continuous modeling approaches. The proposed technique addresses the problem of automated modeling of virtual scene components such as caves, buildings and clouds. The approach combines two independent methods well known in three-dimensional computer graphics: shape grammar and shape morphing. The modeled structures are characterized by geometrical complexity with inner graph structure more optimized than in classical CSG approach. In this paper, we mainly focus on the description of the algorithm.

Automatic shape generation based on quadratic four-dimensional fractals

Amorphous shapes have always been a challenge to CG modelers. Apparently natural in look, their topology is hard to retrieve manually. Scientists from different backgrounds have tried to understand and model such phenomena. Fractals belong to the most representative solutions, but still are rare in 3D domain. Methods for generation of fractal objects use mainly quaternion representations for nonlinear systems in four dimensions. In such a case advanced volumetric graphics methods need to be applied to convey multidimensional information. In the paper, we propose a simple and effective approach to use four-dimensional escape-time fractals as automated shape generator. We extend general quadratic fractal maps to four dimensions. The algorithm results in diverse aesthetically balanced volumetric shapes delivered in real time on a modern PC.