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Spherical splines and orientation interpolation

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Abstract

This paper presents a method for designing spherical curves by two weighted spatial rotations. This approach is for the design of interpolating spherical curves and orientation interpolation. The same approach can be used for smoothing orientations or corners on a sphere. The designed curves have the following features: C1 continuity, local control, and invariance under orthogonal transformations of coordinate systems.

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Authors and Affiliations

  1. Department of Higher Mathematics No 1, Facutly of Robotics Systems, Belarus State Polytechnic Academy, Building 11A, F. Scorina Avenue 65, 220027, Mirsk, Byelorussia

    A. P. Pobegailo

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  1. A. P. Pobegailo
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Pobegailo, A.P. Spherical splines and orientation interpolation. The Visual Computer 11, 63–68 (1994). https://doi.org/10.1007/BF01900700

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  • DOI: https://doi.org/10.1007/BF01900700

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