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空间坐标系变换的函数梯度描述方法
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空间坐标系变换的函数梯度描述方法
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Journal Article
空间坐标系变换的函数梯度描述方法
2014
Overview
为了将空间坐标系变换由静态的、不随时间发生变换的情况推广到动态的、随时间发生变换以及任意角度发生变换的情况,基于单位四元数构造的旋转矩阵和罗德里格矩阵的完全等价性,揭示出空间坐标系(空间直角坐标系)变换与函数梯度的数学关系,推导出由函数梯度表示的空间坐标系变换的数学公式,在理论上说明了用函数梯度描述空间坐标系变换的方法。研究表明,在数学意义上,空间坐标系变换的本质是"场",可以用"场"的概念统一以任意角度发生旋转变换的空间坐标系变换特例,为进一步研究空间坐标系随时间发生连续变换的情况或以新的思路为运动载体定姿奠定了理论基础。
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