Havemann, SvenSvenHavemannFellner, Dieter W.Dieter W.Fellner2022-03-042022-03-042011https://publica.fraunhofer.de/handle/publica/22477510.1007/978-3-642-19391-0_15A procedural description of a three-dimensional shape has undeniable advantages over conventional descriptions that are all based on the exhaustive enumeration paradigm. Although it is a true generalization, a procedural description of a given shape class is not always easy to obtain. The main problem is that procedural descriptions are typically Turing-complete, which makes 3D shape design formally (and practically) a programming task. We describe an approach that circumvents this problem, is efficient, extensible, and conceptually simple. We demonstrate the broad applicability with a number of examples from different domains and sketch possible future applications. But we also discuss some practical and theoretical limitations of the generative paradigm.engenerative modeling3D computer graphicsprocedural modelingForschungsgruppe Semantic Models, Immersive Systems (SMIS)006book article