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- W103105376 abstract "Abstract When the end-points of an elastica of fixed length is clamped or supported, the elastica assumes a shape such that the strain energy is minimized. The strain energy of an elastica is proportional to the integral of the square of curvature taken along the elastica. A curve obtained by minimizing the strain energy is called a minimal-energy spline. A minimal-energy spline has a prescribed length together with the constraints of arbitrary-angles or zero-curvatures at the end-points. The minimal-energy splines are curvature continuous curves. Each segment of a minimal-energy spline is infinitely smooth and has linear curvature relationship." @default.
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- W103105376 date "1991-01-01" @default.
- W103105376 modified "2023-10-16" @default.
- W103105376 title "Elastica and Minimal–Energy Splines" @default.
- W103105376 doi "https://doi.org/10.1016/b978-0-12-438660-0.50037-6" @default.
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