Abstract
Geometry plays a crucial role in the design and production of discrete mechanical goods. In early times artisans “carried geometry in their heads” or relied on physical models and analogues. The rise of mass production and job specialization led to the adoption of engineering drawings as a medium for geometric specification, and recently the advent of computers, NC (numerically controlled) plotters, and CRT displays has led to a growing wave of “computerization” of drafting activities.
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References
A. A. G. Requicha, “Mathematical Models of Rigid Solid Objects,” Production Automation Project Technical Memorandum Number 28, University of Rochester (November, 1977).
H. B. Voelcker, A. A. G. Requicha, E. E. Hartquist, W. B. Fisher, J. Metzger, R. B. Tilove, N. K. Birrell, W. A. Hunt, G. T. Armstrong, T. F. Check, R. Moote, and J. McSweeney, The PADL-1.0/2 system for defining and displaying solid objects, ACM Computer Graphics 12 (3), 257–263 (August, 1978).
A. A. G. Requicha, Representations of Rigid Solid Objects, in Computer Aided Design, Lecture Notes in Computer Science, Vol. 89 (J. Encarnacao, ed.), pp. 2–78, Springer-Verlag, New York (1980).
A. A. G. Requicha, Representations for Rigid Solids: Theory, Methods, and Systems, Comput. Surveys 12(4) (December, 1980).
C. M. Brown, A. A. G. Requicha, and H. B. Voelcker, Geometric modelling systems for mechanical design and manufacturing, in Proc. 1978 ACM Annual Conference, Washington, D.C. pp. 770–778 (December, 1978).
A. V. Aho, J. E. Hopcroft and J. D. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley, Reading, Massachusetts (1976).
Y. T. Lee and A. A. G. Requicha, “Algorithms for Computing the Volume and Other Integral Properties of Solid Objects,” Production Automation Project Technical Memorandum Number 35, University of Rochester (February, 1980).
R. B. Tilove, Set membership classification: a unified approach to geometric intersection problems, IEEE Transactions on Computers C-29 874–883 (1980).
H. B. Voelcker and A. A. G. Requicha, “Boundary Evaluation Procedures for Objects Defined Via Constructive Solid Geometry,” Production Automation Project Technical Memorandum Number 26, University of Rochester (1981).
H. B. Voelcker and W. A. Hunt, “The Role of Solid Modelling in Machining-Process Modelling & NC Verification,” Paper 810195 of the 1981 International Congress of the Society of Automotive Engineers.
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© 1981 Plenum Press, New York
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Requicha, A.A.G., Voelcker, H.B. (1981). An Introduction to Geometric Modeling and Its Applications in Mechanical Design and Production. In: Tou, J.T. (eds) Advances in Information Systems Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-9883-7_5
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DOI: https://doi.org/10.1007/978-1-4613-9883-7_5
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