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arXiv 1802.00439physics.class-ph
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一种改进的原声吉他体型定义方法

An Improved Body Shape Definition for Acoustic Guitars

Mark French

摘要:

木吉他的身体形状通常属于一个少数家庭的身体形状。然而,这些形状并没有标准化,甚至在关于该主题的文献中没有精确描述。相反,它们是传统积累的结果,形状变化如此之大,以至于许多常见的组件必须被视为有效的定制部件。传统的曲线拟合是不可能的,因为形状不是单值函数。数值描述,如样条拟合将工作,但产生的数据太麻烦,很难移植,可能取决于软件的选择。将问题从直角坐标变换到极坐标允许使用封闭形式的表达式以紧凑和明确的方式来描述一系列身体形状,该方式易于在广泛可用的软件中实现。

英文摘要:

Acoustic guitar body shapes usually belong to one of a small number of families of body shapes. However, these shapes are not standardized or even precisely described in the literature on the subject. Rather, they are the result of accumulated tradition and shapes vary so much that many common components must be treated as effectively custom parts. Conventional curve fits are not possible because the shape is not a single valued function. Numerical descriptions such as spline fits will work, but the resulting data is too cumbersome to be easily portable and may be dependent on choice of software. Transforming the problem from rectangular to polar coordinates allows the use of a closed form expression to describe a family of body shapes in a compact and unambiguous way that is easy to implement in widely available software.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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