自律運動システムにおける滑らかな軌道生成のための三次スプライン補間
Cubic Spline Interpolation for Smooth Trajectory Generation in Autonomous Motion Systems
位置-時間ウェイポイント列から三次スプライン補間を自動構築し、位置・速度・加速度が連続な軌道を生成するプログラムを提案。自由曲線描画と署名デジタル化で実証。
詳しい要約
1. どんなもの？
2. 先行研究と比べてどこがすごい？
3. 技術・手法の肝は？
4. どうやって有効だと検証した？
5. 議論はある？
6. 次に読むべき論文は？
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著者: Aarush Mandayam, Sriram Aditya Gundla, Elliott Tammaro
分類: cs.RO
原文アブストラクト
We presented a program that automates the construction and solution of the cubic spline interpolation problem for a sequence of position-time waypoints, producing trajectories that are continuous in position, velocity, and acceleration and therefore avoid the infinite-acceleration problem inherent to piecewise-linear waypoint following. By assembling the interpolation and continuity conditions into a single linear system and solving directly for the spline coefficients, the program removes the need to manually derive per-segment equations for each new waypoint set. We illustrated the approach on free-form curve drawing and signature digitization, two tasks that use the same underlying machinery required for smooth robot and drone trajectory generation. Future work includes extending the implementation to multi-axis trajectories with explicit velocity and acceleration bounds, adopting the more computationally efficient tridiagonal solution method for larger waypoint sets, and evaluating the approach quantitatively against alternative trajectory generation methods.