“Fair and Robust Curve Interpolation on the Sphere” by Séquin and Yen

  • ©Carlo H. Séquin and Jane Yen

Conference:


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    Application

Title:

    Fair and Robust Curve Interpolation on the Sphere

Session/Category Title:   Curves and Morphing


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Abstract:


    By blending arcs, this interpolating subdivision scheme for curves on the sphere produces fair-looking CZ-continuous curves even through challenging sets of interpolation points.

References:


    1. Moreton, H.P. & Séquin, C.H. (1992). Functional optimization for fair surface design. Proceedings ACM SIGGRAPH 92, 167-176.
    2. Dyn, N., Gregory, J., & Levin, D. (1987). A four-point interpolatory subdivision scheme for curve design. CAGD 4, 257-268.
    3. Szilvasi-Nagy, M. & Vendel, T.P. (2000). Generating curves and swept surfaces by blended circles. CAGD 17, 197-206.
    4. Kim, M.J., Kim, M.S., & Shin, S.Y. (1995). A general construction scheme for unit quaternion curves with simple high order derivatives. Proceedings ACM SIGGRAPH 95, 369-376.


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