Abstract
This paper describes implicit_solids which implements implicit solid modeling (ISM) using MapleV2. Implicit solid modeling refers to the method that uses an implicit function to define a composite object. Various primitives are pre-defined and joined using Boolean operations to form the resulting implicit function [Storti et al. 1992].
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Barr, A.H., “Superquadrics and Angle-Preserving Transformations”, IEEE Computer Graphics and Applications, Vol. 1, No. 1, 1981, pp. 11–23.
Blechschmidt, J.L. and Nagasaru, D., “The Use of Algebraic Functions as a Solid Modeling Alternative: An Investigation”, Advances in Design Automation, B. Ravani, ed., ASME Design Conference, Chicago, Il., 1990, pp. 33–41.
Canny, J., Donald, B.R., Ressler, E.K., and Rote, G., “A Rational Rotation Method for Robust Geometric Algorithms”, Proc. ACM Symp. on Computational Geometry, Berlin, 1992.
Char, B.W., Geddes, K.O., Gonnet, G.H., Leong, B.L., Monagan, M.B., and Watt, S.M., First Leaves: A Tutorial Introduction to MapleV, Springer-Verlag, 1992.
Foley, J.D.,van Dam, A., Feiner, S.K., and Hughes, J.F., Computer Graphics: Principles and Practice, 2nd ed., Addison-Wesley, New York, 1990.
Ganter, M.A. and Storti, D.W., “Object Extent Determination for Algebraic Solid Models”, Advances in Design Automation, D.L. Hoeltzel, ed., DE-Vol. 44–2, 1992, pp. 275–283.
Ganter, M.A. and Storti, D.W., “Algebraic Solid Modeling: A Renewed Method for Geometric Design”, ASME Resource Book for Innovation in Design Education, 1992.
Ganter, M.A., Storti, D.W., “Algebraic Methods for Implicit Swept Solids”, submitted to Advances in Design Automation, 1993.
Marshall, N., The Great All-American Wooden Toy Book, Rodale Press, 1986, pp. 126–127.
Requicha, A.A.G. and Voelcker, H.B., “Historical Summary and Contemporary Assessment”, IEEE Computer Graphics and Applications, Vol. 2, No. 2, 1982, pp. 9–24.
Ricci, A., “A Constructive Geometry for Computer Graphics”, The Computer Journal, Vol. 16, No. 2, 1973, pp. 157–160.
Salmon, G., A Treatise on Higher Plane Curves, Stechert, NY, 1934, (Photographic Reprint of 3rd Ed. 1879 ), pp. 73.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media New York
About this chapter
Cite this chapter
Lim, C.T., Ensz, M.T., Ganter, M.A., Storti, D.W. (1993). Algebraic Computer Aided-Design with Maple V 2. In: Lee, T. (eds) Mathematical Computation with Maple V: Ideas and Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0351-3_17
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0351-3_17
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6720-1
Online ISBN: 978-1-4612-0351-3
eBook Packages: Springer Book Archive