Abstract
In this work we focus on the following problem: given an ordered set of points in the plane lying on one side of a given boundary polygon, construct a smooth curve interpolating these points, such that the curve lies on the same side of the polygon as the data.
We have developed a G 2-continuous cubic A-spline scheme smoothing the polygon defined by the line segments joining consecutive data points, such that the spline curve lies completely on the same side of the boundary polygon as the data. The proposed A-spline scheme provides an efficient method for generating a smooth robot’s path that avoids corners or polygonal objects for a given planned path, for designing a smooth curve on a polygonal piece of material, etc.
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Behar-Jequín, S., Estrada-Sarlabous, J., Hernández-Mederos, V. (2008). Constrained Interpolation with Implicit Plane Cubic A-Splines. In: Ruiz-Shulcloper, J., Kropatsch, W.G. (eds) Progress in Pattern Recognition, Image Analysis and Applications. CIARP 2008. Lecture Notes in Computer Science, vol 5197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85920-8_88
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DOI: https://doi.org/10.1007/978-3-540-85920-8_88
Publisher Name: Springer, Berlin, Heidelberg
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