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A Tutorial on Uniform B-Spline
Published 27 Sep 2023 in cs.GR, cs.CV, and cs.RO | (2309.15477v1)
Abstract: This document facilitates understanding of core concepts about uniform B-spline and its matrix representation.
- B-spline basis functions: Definition. https://pages.mtu.edu/~shene/COURSES/cs3621/NOTES/spline/B-spline/bspline-basis.html.
- Carl De Boor. On calculating with b-splines. Journal of Approximation theory, 6(1):50–62, 1972.
- An efficient b-spline-based kinodynamic replanning framework for quadrotors. IEEE Transactions on Robotics, 35(6):1287–1306, 2019.
- Kaihuai Qin. General matrix representations for b-splines. The Visual Computer, 16(3-4):177–186, 2000.
- Efficient derivative computation for cumulative b-splines on lie groups. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pages 11148–11156, 2020.
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