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Designing of 3D rectangular objects

  • Session CG3a — Curves & Surfaces
  • Conference paper
  • First Online:
Image Analysis Applications and Computer Graphics (ICSC 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1024))

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Abstract

This paper reviews the curve method [6] which recovers, as special cases, the two spline methods: one with interval tension in [5]: and the other with point tension in [4]. This curve scheme has been generalized for the designing of surfaces i.e. 3D objects (open or closed) can be captured, together with the facility of local as well as global point and interval shape controls, with any rectangular domain.

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References

  1. M. Sarfraz: Designing of curves and surfaces using rational cubics. Computers and Graphics 17, 529–538 (1993)

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  2. G. M. Nielson: Rectangular Ν-splines. IEEE Computer Graphics and Applics. 6, 35–40 (1986)

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  3. T. A. Foley, H. S. Ely: Surface interpolation with tension controls using cardinal bases. Computer Aided Geometric Design 6, 97–109 (1989)

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  4. M. Sarfraz: Curves and surfaces for CAD using C2 rational cubic splines. Engineering with Computers 11, (1994)

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  5. J. A. Gregory, M. Sarfraz: A rational spline with tension. Computer Aided Geometric Design. 7, 1–13 (1990)

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  6. M. Sarfraz: Curves and surfaces for computer aided geometric design, Academic press, New York

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  7. W. J. Gordon: Blending function methods of bivariate and multivariate interpolation and approximation. SIAM J. Num. Anal. 8, 158–177 (1971)

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Author information

Authors and Affiliations

  1. Department of Information and Computer Science, King Fahd University of Petroleum and Minerals, 31261, Dhahran, Saudi Arabia

    Muhammad Sarfraz

Authors
  1. Muhammad Sarfraz
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Editor information

Roland T. Chin Horace H. S. Ip Avi C. Naiman Ting-Chuen Pong

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© 1995 Springer-Verlag Berlin Heidelberg

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Sarfraz, M. (1995). Designing of 3D rectangular objects. In: Chin, R.T., Ip, H.H.S., Naiman, A.C., Pong, TC. (eds) Image Analysis Applications and Computer Graphics. ICSC 1995. Lecture Notes in Computer Science, vol 1024. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60697-1_129

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  • DOI: https://doi.org/10.1007/3-540-60697-1_129

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60697-0

  • Online ISBN: 978-3-540-49298-6

  • eBook Packages: Springer Book Archive

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