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2014 | OriginalPaper | Chapter

4. 3D Solid Modeling

Author : Rimon Elias

Published in: Digital Media

Publisher: Springer International Publishing

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Abstract

Solids are 3D models that are used to represent objects in 3D space. Examples of simple solid primitives are cubes, cylinders, cones, spheres, etc. There are many techniques developed in the literature to construct solids in 3D space. These techniques can fall under certain categories (Requicha in ACM Computing Surveys 12(4):437–464, 1980; Foley et al in Computer graphics: principles and practice in C. Addison-Wesley, Boston 1995). Among these categories are constructive solid geometry, primitive instancing, cell decomposition, spatial enumeration, different tree representations, translational and rotational sweep representations in addition to boundary representation and polygonal modeling. In this chapter, we will discuss some of these solid modeling techniques.

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Literature
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Foley, J.D., van Dam, A., Feiner, S.K. and Hughes, J. 1995. Computer graphics: Principles and practice in C. The systems programming series, Boston: Addison-Wesley, 2nd ed.
Meagher, D. 1982. Geometric modeling using octree encoding. Computer Graphics and Image Processing 19: 129–147.CrossRef
Requicha, A.G. 1980. Representations for rigid solids: Theory, methods, and systems. ACM Computing Surveys 12(4): 437–464.CrossRef
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Thibault, W.C., and B.F. Naylor. 1987a. Set operations on polyhedra using binary space partitioning trees. SIGGRAPH Computer Graphics 21(4): 153–162.CrossRefMathSciNet
Thibault, W.C. and Naylor, B.F. 1987b. Set operations on polyhedra using binary space partitioning trees. Proceedings of the 14th annual conference on computer graphics and interactive techniques, SIGGRAPH ’87, pages 153–162, New York, NY, USA. ACM.
Metadata
Title
3D Solid Modeling
Author
Rimon Elias
Copyright Year
2014
Book
Digital Media

Print ISBN: 978-3-319-05136-9

Electronic ISBN: 978-3-319-05137-6

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-05137-6_4