Solar energy paper index
Approximation and interactive design with exact 3D elastic curves
One-line summary
A solar energy research paper on Approximation and interactive design with exact 3D elastic curves.
Engineering notes
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Chinese explanation / 中文解读
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Original abstract
An elastic space curve is a critical point of the bending energy subject to appropriate constraints. An analytic representation, equivalent to the spherical pendulum equation, leads to an 11-parameter description of the space of 3D elastic curve segments. We give a numerically stable method for recovering the 11 parameters from a given elastic curve segment. Using this, we give a fast and stable method to approximate an arbitrary space curve segment by a 3D elastica. Applications include interactive design with exact elastic curves and CAD surface rationalization for robotic hot-blade cutting.
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