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Monotone cubic interpolation
About: Monotone cubic interpolation is a research topic. Over the lifetime, 1740 publications have been published within this topic receiving 38111 citations.
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TL;DR: A local interpolation method for curves in R2 or R3 offering G1 continuity is described, using an intuitive geometric, rule-based approach to find a ‘good’ default solution that produces pleasing-looking results even for highly irregular sets of data.
Abstract: A local interpolation method for curves in R2 or R3 offering G1 continuity is described. A curve is represented as a union of geometrically continuous cubic Bezier segments between each pair of adjacent vertices. At each interpolation point, the procedure determines a tangent direction and two derivative magnitudes on either side of the vertex. The method uses an intuitive geometric, rule-based approach to find a ‘good’ default solution that produces pleasing-looking results even for highly irregular sets of data Various spline properties and their relevance to the method are also discussed.
16 citations
15 citations
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15 citations