Blend surfaces for set theoretic volume modelling systems

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Blend surfaces for set theoretic volume modelling systems

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International Conference on Computer Graphics and Interactive Techniques archive
Proceedings of the 12th annual conference on Computer graphics and interactive techniques table of contents

Pages: 161 - 170

Year of Publication: 1985

ISBN:0-89791-166-0

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Authors

Alan E. Middleditch	Computer Aided Engineering Group, Department of Engineering and Sclence, Polytechnic of Central London, 115 New Cavendish Street, London W1M 8JS
Kenneth H. Sears	Computer Aided Engineering Group, Department of Engineering and Sclence, Polytechnic of Central London, 115 New Cavendish Street, London W1M 8JS

Sponsor

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

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ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 3, Downloads (12 Months): 23, Citation Count: 19

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ABSTRACT

Most volume modelling systems are very limited in the complexity of the surfaces which they support. This is satisfactory for basic models of most mechanical components, since the functional surfaces are not usually complex. However, there are often blends between simple base surfaces. This paper presents a technique appropriate for blend definition and profile control. A discussion of blend conics is used to develop analogous surfaces for use in typical volume modelling systems. These surfaces are then used to set theoretically define bounded volumes for fillets and chamfers. Empirical results show that the method described suits many engineering applications.

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.

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CITED BY 19

	J. Warren, Blending quadric surfaces with quadric and cubic surfaces, Proceedings of the third annual symposium on Computational geometry, p.341-347, June 08-10, 1987, Waterloo, Ontario, Canada
	Thomas W. Sederberg , Alan K. Zundel, Scan line display of algebraic surfaces, ACM SIGGRAPH Computer Graphics, v.23 n.3, p.147-156, July 1989
	D Zhang , A Bowyer, CSG set-theoretic solid modelling and NC machining of blend surfaces, Proceedings of the second annual symposium on Computational geometry, p.236-245, June 02-04, 1986, Yorktown Heights, New York, United States
	T. Lee , S. Bedi , R. N. Dubey, A parametric surface blending method for complex engineering objects, Proceedings on the second ACM symposium on Solid modeling and applications, p.179-188, May 19-21, 1993, Montreal, Quebec, Canada
	C. Bajaj , I. Ihm, Hermite interpolation of rational space curves using real algebraic surfaces, Proceedings of the fifth annual symposium on Computational geometry, p.94-103, June 05-07, 1989, Saarbruchen, West Germany
	Chanderjit L. Bajaj , Insung Ihm, Algebraic surface design with Hermite interpolation, ACM Transactions on Graphics (TOG), v.11 n.1, p.61-91, Jan. 1992
	D. Kalra , A. H. Barr, Guaranteed ray intersections with implicit surfaces, ACM SIGGRAPH Computer Graphics, v.23 n.3, p.297-306, July 1989
	J. Warren, Blending algebraic surfaces, ACM Transactions on Graphics (TOG), v.8 n.4, p.263-278, Oct. 1989
	Thomas W. Sederberg , Scott R. Parry, Free-form deformation of solid geometric models, ACM SIGGRAPH Computer Graphics, v.20 n.4, p.151-160, Aug. 1986
	Vaughan Pratt, Direct least-squares fitting of algebraic surfaces, ACM SIGGRAPH Computer Graphics, v.21 n.4, p.145-152, July 1987
	Chek T. Lim , George M. Turkiyyah , Mark A. Ganter , Duane W. Storti, Implicit reconstruction of solids from cloud point sets, Proceedings of the third ACM symposium on Solid modeling and applications, p.393-402, May 17-19, 1995, Salt Lake City, Utah, United States
	A. P. Rockwood, The displacement method for implicit blending surfaces in solid models, ACM Transactions on Graphics (TOG), v.8 n.4, p.279-297, Oct. 1989
	Jules Bloomenthal , Ken Shoemake, Convolution surfaces, ACM SIGGRAPH Computer Graphics, v.25 n.4, p.251-256, July 1991
	James R. Miller, Architectural Issues in Solid Modelers, IEEE Computer Graphics and Applications, v.9 n.5, p.72-87, September 1989
	Galina I. Pasko , Alexander A. Pasko , Tosiyasu L. Kunii, Bounded Blending for Function-Based Shape Modeling, IEEE Computer Graphics and Applications, v.25 n.2, p.36-45, March 2005
	Chen-Dong Xu , Fa-Lai Chen, Blending canal surfaces based on PH curves, Journal of Computer Science and Technology, v.20 n.3, p.389-395, May 2005
	Qingde Li , Roger Phillips, Implicit curve and surface design using smooth unit step functions, Proceedings of the ninth ACM symposium on Solid modeling and applications, June 09-11, 2004, Genoa, Italy
	Haining Mou , Guohui Zhao , Zhirui Wang , Zhixun Su, Simultaneous blending of convex polyhedra by S32 algebraic splines, Computer-Aided Design, v.39 n.11, p.1003-1011, November, 2007
	Haining Mou , Guohui Zhao , Zhixun Su , Xiuping Liu, G² blending of corners by cubic algebraic splines, Proceedings of the 2007 ACM symposium on Solid and physical modeling, June 04-06, 2007, Beijing, China