Curve smoothing using a continuous function

Wu, Y, He, L and Li, Z 2018, 'Curve smoothing using a continuous function', Journal of Zhejiang University: Science A, vol. 19, no. 4, pp. 304-314.


Document type: Journal Article
Collection: Journal Articles

Title Curve smoothing using a continuous function
Author(s) Wu, Y
He, L
Li, Z
Year 2018
Journal name Journal of Zhejiang University: Science A
Volume number 19
Issue number 4
Start page 304
End page 314
Total pages 11
Publisher Zheijiang University Press
Abstract Current curve smoothing technologies provide a smoothed curve by joining together separate curves that have certain degrees of continuity at junctions. These technologies have found many applications in science and engineering. However, none of them can provide a smoothed curve using a single continuous function for arbitrary segmental curves. This paper reports a new approach that can be used to construct a single continuous function that joins an arbitrary number of different segmental curves, with the required degree of continuity at all junctions. The smoothness of transition at different junctions can be controlled by separate parameters to suit different needs. The combined continuous function can approach the original segmental functions asymptotically or match the original segmental functions exactly inside each segment by adjusting the smoothness parameter. This new approach may also find application outside the scope of curve smoothing/curving fitting in the future.
Subject Structural Engineering
Keyword(s) Curve fitting
Curve smoothing
Path planning
Tool path
Transition curve
DOI - identifier 10.1631/jzus.A1700502
Copyright notice © Zhejiang University and Springer-Verlag GmbH Germany, part of Springer Nature 2018
ISSN 1673-565X
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