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Interpolation using radial basis functions with application to inverse kinematics

机译:使用径向基函数的插值及其在逆运动学中的应用

摘要

A technique for solving an inverse-kinematic problem by interpolating solutions from examples. Example poses or motions of an object are collected and annotated. The annotations are essentially parameters for a function—i.e., the function X(p) generates degree-of-freedom values of an object that is posed in a manner that satisfies parameters p. The analytic function X is interpolated from these examples and improved automatically based on kinematic measurements. Preferably, the interpolation is created by taking a weighted sum of cardinal basis functions having linear and radial parts, Preferably, the interpolation is a weighted sum of cardinal basis functions having linear and radial portions.
机译:通过插值示例中的解来解决反运动学问题的技术。收集并注释对象的示例姿势或运动。注释本质上是函数的参数-即函数X(p)生成以满足参数p的方式放置的对象的自由度值。分析函数X从这些示例中进行插值,并根据运动学测量结果自动进行改进。优选地,通过取具有线性和径向部分的基数基函数的加权和来创建插值。优选地,内插是具有线性和径向部分的基数基函数的加权和。

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