Abstract:
The implementation of an offset capability for planar curves and profiles in a solid modeler is discussed. A curve is assumed to have a continuous tangent vector, and a p...Show MoreMetadata
Abstract:
The implementation of an offset capability for planar curves and profiles in a solid modeler is discussed. A curve is assumed to have a continuous tangent vector, and a profile is defined to be a composite curve, possessing only positional continuity. Algorithms are presented for offsetting both entities. A practical design problem, the solution of which makes use of the offset capability, is presented.
Published in: IEEE Computer Graphics and Applications ( Volume: 4, Issue: 9, September 1984)
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1.
GEOMOD 2.5 User Manual.
2.
Wayne Tiller, "“Rational B-Splines for Curve and Surface Representation”", IEEE Computer Graphics and Applications, vol. 3, no. 6, pp. 61-69, Sept. 1983.
3.
R.F. Riesenfeld, “Applications of B-Spline Approximation to Geometric Problems of Computer-Aided Design”, May 1973.
4.
Carl deBoor, A Practical Guide to Splines, New York:Springer-Verlag, 1978.
5.
K.J. Versprille, “Computer-Aided Design Applications of the Rational B-Spline Approximation Form”, Feb. 1975.
6.
I.D. Faux and M.J. Pratt, Computational Geometry for Design and Manufacture, UK, W.Sussex, Chichester:Ellis Horwood Ltd., pp. 267-268, 1979.
7.
B. Blomgren, private communication, WA, Seattle:Boeing Commercial Airplane Company.
8.
E. Cohen, T. Lyche and R. Riesenfeld, "“Discrete B-Splines and Subdivision Techniques in Computer-Aided Geometric Design and Computer Graphics”", Computer Graphics and Image Processing, vol. 14, no. 2, pp. 87-111, Oct. 1980.
9.
R. Klass, "“An Offset Spline Approximation for Plane Cubic Splines”", Computer-Aided Design, vol. 15, no. 5, pp. 297-299, Sept. 1983.
10.
W. Boehm, "“Inserting New Knots into B-Spline Curves”", Computer-Aided Design, vol. 12, no. 4, pp. 199-201, July 1980.
11.
M.P. Do carmo, Differential Geometry of Curves and surfaces, N.J., Englewood Cliffs:Prentice-Hall, 1976.
12.
J.M. Lane and R.F. Riesenfeld, "“A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces”", IEEE Trans. Pattern Analysis and Machine Intelligence, vol. PAMI-2, no. 1, pp. 35-46, Jan. 1980.