Function representation for sweeping by a moving solid

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

Function representation for sweeping by a moving solid

Full text

Pdf (626 KB)

Source

ACM Symposium on Solid and Physical Modeling archive
Proceedings of the third ACM symposium on Solid modeling and applications table of contents

Salt Lake City, Utah, United States

Pages: 383 - 391

Year of Publication: 1995

ISBN:0-89791-672-7

Authors

A. Sourin	School of Applied Science, Nanyang Technological University, Nanyang Avenue, Singapore 2263
A. Pasko	Laboratory of Shape Modeling, The University of Aizu, Aizu-Wakamatsu City, Fukushima, 965 Japan

Sponsor

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 2, Downloads (12 Months): 15, Citation Count: 1

Additional Information:

references cited by index terms collaborative colleagues

Tools and Actions:	Review this Article Save this Article to a Binder Display Formats: BibTeX EndNote ACM Ref

DOI Bookmark:	Use this link to bookmark this Article: http://doi.acm.org/10.1145/218013.218089 What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Rossignac J.R., "Trough the cracks of the solid modeling milestone", From Object Modeling to Advanced Visual Communication, S.Coquillart, W.Strasser and P.Stucki (Eds.), Focus on Computer Graphics Series, Springer Verlag, 1994, pp. 1-75.
	2	Wang W.P., Wang K.K., "Geometric modeling for swept volume of moving solids", IEEE Computer Graphics and Applications, vol.6, No. 12, 1986, pp.8-17.
	3	Hui K.C., "Solid sweeping in image space - application in NC simulation", The Visual Computer, vol.10, No.6, i994, pp.306-316.
	4	Jerard, R.B, S.Z.Hussaini,R.L.Drysdale, B.Schaudt, "Approximate methods for simulation and verification of numerically controlled machining programs", The Visual Computer, no.5, 1989, pp.329-348.
	5	Wang W.P., "Solid modeling for mold design and manufacture", Technical Report No.44, Cornell University, Ithaca, January 1984, 105 p.
	6	Hui K,C., Tan S.T., "Mould design with sweep operations - a heuristic search approach", Computer- Aided Design, vol.24, No.2, 1992, pp.81-91.
	7	Sawai S., Kakazu Y., "Mould design: automatic generation of the shape of cavity and core", CSG 94 Settheoretic Solid Modelling: Techniques and Applications, Information Geometers, Winchester, 1994, pp.337-350.
	8	Lozano-Perez T., "Spatial planning: a configuration space approach", IEEE Transactions on Computers, vo1.C-32, No.2, 1983, pp. 108-120.
	9	Rossignac J.R., Requicha A.A.G., "Constant-radius blending in solid modeling", Computers in Mechanical Engineering, vol.3, No.l, 1984, pp.65-73.
	10	J R Rossignac , A A G Requicha, Offsetting operations in solid modelling, Computer Aided Geometric Design, v.3 n.2, p.129-148, August 1986 [doi>10.1016/0167-8396(86)90017-8]
	11	Middleditch A.E., "Ray casting set-theoretic rolling sphere blends", Computer-aided Surface Geometry and Design, The Mathematics of Surfaces IV, A.Bowyer (Ed.), Clarendon Press, Oxford, 1994, pp.261-280.
	12	Jai Menon , Richard J. Marisa , Jovan Zagajac, More Powerful Solid Modeling Through Ray Representations, IEEE Computer Graphics and Applications, v.14 n.3, p.22-35, May 1994 [doi>10.1109/38.279039]
	13	Sambandan K., "Geometry generated by sweeps of polygons and polyhedra", Technical Report No.66, Cornell Univesity, Ithaca, August 1990, 156 p.
	14	van Wijk J.J., "Ray tracing of objects defined by sweeping a sphere", Computers and Graphics, vol.9, No.3, 1985, pp.283-290.
	15	Ghosh P.K., "A unified computational framework for Minkowski operations", Computers and Graphics, vol. 17, No.4, 1993, pp.357-378.
	16	Martin R.R., "The geometry of the helical canal surface", Computer-aided Surface Geometry and Design, The Mathematics of Surfaces IV, A.Bowyer (Ed.), Clarendon Press, Oxford, 1994, pp. 17-32
	17	Parry-Barwick S.J., Bowyer A., "Minkowski sums of settheoretic models", CSG 94 Set-theoretic Solid Modelling: Techniques and Applications, Information Geometers, Winchester, 1994, pp. ! 01 - 116.
	18	R. R. Martin , P. C. Stephenson, Sweeping of three-dimensional objects, Computer-Aided Design, v.22 n.4, p.223-234, May 1990 [doi>10.1016/0010-4485(90)90051-D]
	19	Hui K.C., "Solid modelling with sweep-CSG representation", CSG 94 Set-theoretic Solid Modelling: Techniques and Applications, Information Geometers, Winchester, 1994, pp. 119-131.
	20	Christoph M. Hoffman, Implicit Curves and Surfaces in CAGD, IEEE Computer Graphics and Applications, v.13 n.1, p.79-88, January 1993 [doi>10.1109/38.180121]
	21	James F. Blinn, A Generalization of Algebraic Surface Drawing, ACM Transactions on Graphics (TOG), v.1 n.3, p.235-256, July 1982 [doi>10.1145/357306.357310]
	22	Wyvill, G., McPheeters C., Wyvill B., "Data structure for soft objects", The Visual Computer, vol.2, no.4, 1986, pp.227-234.
	23	Jules Bloomenthal , Brian Wyvill, Interactive techniques for implicit modeling, ACM SIGGRAPH Computer Graphics, v.24 n.2, p.109-116, Mar. 1990
	24	Essa I.A., Sclaroff S., Pentland A., "A unified approach for physical and solid modeling for graphics and animation",EUROGRAPHICS'92, Computer Graphics Forum, vol. 1 t, no.3, 1992, pp. 129-138.
	25	Rvachev V.L., "Methods of logic algebra in mathematical physics", Naukova Dumka Publishers, Kiev, 1974, 259p.
	26	Shapiro V., "Theory of R-finctions and applications: a primer", TR CPA88-3, Cornell University, 1988, 27p.
	27	Pasko A.A., "Conceptual and instrumental tools for a direct method of multidimensional geometric problems solving with a computer", PhD Dissertation, Moscow Engineering Physics Institute, Moscow, 1988.
	28	Pasko, A.A., Savchenko V.V., Adzhiev V.D., Sourin A.I., "Multidimensional geometric modeling and visualization based on the function representation of objects", University of Aizu, Technical Report 93-1-008, 1993, 47p.
	29	Vadim Shapiro, Real functions for representation of rigid solids, Computer Aided Geometric Design, v.11 n.2, p.153-175, April 1994 [doi>10.1016/0167-8396(94)90030-2]
	30	Pasko A.A., Savchenko V.V., "Blending operations for the functionally based costructive geometry", CSG 94 Settheoretic Solid Modelling: Techniques and Applications, Information Geometers, Winchester, 1994, pp. 151 - 161.
	31	Weatherburn C.E., "Differential Geometry of Three Dimensions", Cambridge University Press, 1927.
	32	R. Farouki, Hierarchical segmentations of algebraic curves and some applications, Mathematical methods in computer aided geometric design, Academic Press Professional, Inc., San Diego, CA, 1989