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Issue No.05 - September/October (1993 vol.13)
pp: 68-73
ABSTRACT
<p>An approach to obtaining curvature-continuous blends of any parametrically given surface is presented. The approach offers several options to control the shape of the blend through geometric continuity. It lets the designer define linkage curves arbitrarily as parametric curves in the respective parameter domains. Moreover, the proposed transfinite interpolant can be adopted to fill an n-sided polygonal hole by a single patch.</p>
CITATION
Markus Schichtel, "G2 Blend Surfaces and Filling of N-sided Holes", IEEE Computer Graphics and Applications, vol.13, no. 5, pp. 68-73, September/October 1993, doi:10.1109/38.232100
REFERENCES
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2. B.K. Choi and S.Y. Ju, "Constant Radius Blending in Surface Modeling,"Computer-Aided Design, Vol. 21, No. 4, May 1989, pp. 213- 220.
3. P. Koparkar, "Designing Parametric Blends: Surface Models and Geometric Correspondence,"The Visual Computer, Vol. 7, No. 1, July 1991, pp. 39-56.
4. J. Pegna and D.J. Wilde, "Spherical and Circular Blending of Functional Surfaces,"J. Offshore Mechanics and Arctic Engineering (OMAE): Trans. Amer. Soc. Mechanical Engineering(ASME), Vol. 112, No. 2, May 1990, pp. 134-142.
5. L. Bardis and N.M. Patrikalakis, "Blending Rational B-Spline Surfaces,"Proc. Eurographics, Elsevier, Amsterdam, 1989, pp. 453- 462.
6. W. Hansmann, "Interactive Design and Geometric Description of Smooth Transitions Between Curved Surfaces,"Computers in Off-shore and Arctic Engineering, ASME, New York, 1987, pp. 19-26.
7. J. Pegna, "Interactive Design of Curvature Continuous Fairing Surfaces,"Proc. 8th Int'l Conf. Offshore Mechanics and Arctic Engineering, ASME, New York, 1989, pp. 191-198.
8. J. Pegna and F.E. Wolter, "Geometrical Criteria to Guarantee Curvature Continuity of Blend Surfaces,J. Mechanical Design: Trans. ASME, Vol. 114, No. 1, Mar. 1992, pp. 201-210.
9. B. Czejdo, D. Embley, V. Reddy, and M. Rusinkiewicz, "A visual query language for an E-R data model," inProc. Int. Workshop Visual Languages, Rome, Italy, 1989.
10. J. Gregory, "N-Sided Surface Patches," inThe Mathematics of Surfaces, J. Gregory, ed., Clarendon Press, Oxford, 1986, pp. 217-232.
11. J. Hahn, "Filling Polygonal Holes with Rectangular Patches," inTheory and Practice of Geometric Modeling, W. Strasser, ed., Springer-Verlag, New York, 1989, pp. 81-91.
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