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词汇 Shear transformation
分类 英语词汇 英语翻译词典
释义

Shear transformation

中文百科

错切 Shear mapping

(重定向自Shear transformation)
一个画像的错切变换,图像以它的中心垂直轴不变动的方式变形。
In fluid dynamics a shear mapping depicts fluid flow between parallel plates in relative motion.
Through a shear mapping coded in SVG,a rectangle becomes a parallelogram.
Dessin d'origine.

在数学中,错切是特殊类型的线性变换。

在平面 {(x,y): x,y R} 中,直线 y = b 垂直错切成直线 y = mx + b 是通过如下线性映射完成的

(x,y)  \begin{pmatrix}1 & 0\\ m & 1\end{pmatrix} = (x+my,y).

类似的,垂直直线 x = a 水平错切成斜率 1/m 的直线表示为线性映射

(x,y)  \begin{pmatrix}1 & m\\0 & 1\end{pmatrix} = (x,mx+y).
英语百科

Shear mapping 错切

(重定向自Shear transformation)
In fluid dynamics a shear mapping depicts fluid flow between parallel plates in relative motion.
Through a shear mapping coded in SVG,a rectangle becomes a parallelogram.
一个画像的错切变换,图像以它的中心垂直轴不变动的方式变形。
Dessin d'origine.

In plane geometry, a shear mapping is a linear map that displaces each point in fixed direction, by an amount proportional to its signed distance from a line that is parallel to that direction. This type of mapping is also called shear transformation, transvection, or just shearing.

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