Abstract
We present a simple closed form solution for C2 smooth quaternion interpolation problem. In contrast to other methods, our approach does not rely on cubic B-spline blending functions which require solution of nonlinear tridiagonal system. Instead, we propose using C2 interpolatory (cardinal) basis. Our method outperforms all alternatives and, being explicit, is absolutely stable.
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Volkov, V., Li, L. (2006). CLOSED FORM SOLUTION FOR C2 ORIENTATION INTERPOLATION. In: Wojciechowski, K., Smolka, B., Palus, H., Kozera, R., Skarbek, W., Noakes, L. (eds) Computer Vision and Graphics. Computational Imaging and Vision, vol 32. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4179-9_154
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DOI: https://doi.org/10.1007/1-4020-4179-9_154
Publisher Name: Springer, Dordrecht
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