Abstract
At present, in the field of general aviation track processing in China, only discrete track points can be monitored, but smooth track curves cannot be obtained. Based on the existing cubic spline curve theory, this paper proposes a navigation path smoothing algorithm based on cubic spline curve. The algorithm sequentially constructs a cubic curve equation between two adjacent points of the track. According to the curve equation, the interpolation between the two points is obtained, and the track points and the interpolation points are sequentially connected by a straight line according to the time. When the track point and the interpolation point reach a certain density, the track becomes smooth. After experimental comparison, the curve processed by the track smoothing algorithm is closer to the actual aircraft track.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zhang, H.: Optimized smoothing algorithm for plane parameter cubic spline curve. J. Eng. Graph, (02), 105–108 (2009)
Wu, J.: Research on Multi-UAV Collaborative Track Planning and Effectiveness Evaluation Method, 05, pp. 45–47. Nanchang Aeronautical University (2012)
Li, Y:. Design and Implementation of Coordinate Transformation System, 03, pp. 14–18. China University of Geosciences, Beijing (2010)
Liu, Z.: Analysis and Control of the Singular Inflection Point of Parametric Curve, 01, pp. 10–12. Nanchang Aeronautical University (2012)
Dai, S.: Research on adaptive cubic spline interpolation approximation algorithm, 03, pp. 22–25. Dalian University of Technology (2008)
Kang, Y., Zhou, J.: General aviation development status, trends and countermeasures analysis. Mod. Navig. (05), 360–367 (2012)
Bai, Q.: Geometric continuity of general cubic parameter spline curve and its interpolation method, 02, pp. 14–16. Northeast Normal University (2006)
Fang, Z., He, Q., Xiang, B., Xiao, H., He, K., Du, Y.: A finite element cable model and its applications based on the cubicspline curve. Chin. Ocean Eng. 27(5), 683–692 (2013)
Wu, W.-C., Wang, T.-H., Chiu, C.-T.: Edge curve scaling and smoothing with cubic spline interpolation for image up-scaling. J. Signal Process. Syst 78(1), 95–113 (2015)
Habib, Z., Sakai, M., Sarfraz, M.: Interactive shape control with rational cubic splines. Comput. Aided Des. Appl. 1(1–4), 709–717 (2004)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Xu, W., Lv, K., Yu, H., Li, C., Xu, W. (2019). Cubic Spline Smoothing Algorithm for General Aviation Track. In: Tang, Y., Zu, Q., Rodríguez García, J. (eds) Human Centered Computing. HCC 2018. Lecture Notes in Computer Science(), vol 11354. Springer, Cham. https://doi.org/10.1007/978-3-030-15127-0_48
Download citation
DOI: https://doi.org/10.1007/978-3-030-15127-0_48
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-15126-3
Online ISBN: 978-3-030-15127-0
eBook Packages: Computer ScienceComputer Science (R0)