Fractals and Solid Modeling

Information

• Publication Type: Conference Paper
• Workgroup(s)/Project(s): not specified
• Date: 1992
• Lecturer: Eduard Gröller
• Booktitle: Proceedings of Eurographics'92
• Conference date: 11. September 1992 –

Abstract

Trying to combine fractal geometry and solid modeling seems to be a contradiction in itself, In this paper a new type of 3D objects is presented that accomplishes this combination in a specific way. Objects with a fractal macro structure and a 3D solid micro structure can be specified and rendered efficiently by using context free, attribute, geometric grammars. This new object type can be incorporated into the CSG-modeling technique (Constructive Solid Geometry) in two ways: a) using CSG for the specification of the micro structure of the new object type, b) using these fractal like objects as a new type of primitive in the CSG model. Ray tracing is used for generating high quality images of these geometrically complex objects.

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BibTeX

@inproceedings{groeller-1992-frac,
  title =      "Fractals and Solid Modeling",
  author =     "Eduard Gr\"{o}ller",
  year =       "1992",
  abstract =   "Trying to combine fractal geometry and solid modeling seems
               to be a contradiction in itself, In this paper a new type of
               3D objects is presented that accomplishes this combination
               in a specific way. Objects with a fractal macro structure
               and a 3D solid micro structure can be specified and rendered
               efficiently by using context free, attribute, geometric
               grammars. This new object type can be incorporated into the
               CSG-modeling technique (Constructive Solid Geometry) in two
               ways: a) using CSG for the specification of the micro
               structure of the new object type, b) using these fractal
               like objects as a new type of primitive in the CSG model.
               Ray tracing is used for generating high quality images of
               these geometrically complex objects.",
  booktitle =  "Proceedings of Eurographics'92",
  URL =        "https://www.cg.tuwien.ac.at/research/publications/1992/groeller-1992-frac/",
}