V2EX affine transformation

Affine transformation

释义 Definition

仿射变换:一种保持“直线仍为直线”和“平行关系不变”的几何变换。它通常由线性变换 + 平移组成,因此可以改变长度与角度(例如拉伸、剪切、旋转、平移),但不会把直线变成曲线。(该术语在数学、计算机图形学与计算机视觉中非常常见。)

发音 Pronunciation (IPA)

/fan trnsfrmen/

例句 Examples

An affine transformation can move and rotate a shape.
仿射变换可以对图形进行平移和旋转。

In computer vision, we often use an affine transformation to approximate how a planar object changes under a small change in viewpoint.
在计算机视觉中,我们常用仿射变换来近似描述平面物体在视角发生小幅变化时的形变。

词源 Etymology

affine 来自拉丁语 affinis,本义与“相邻、相关”有关;在数学里引申为“与线性结构相关但允许平移”的概念。transformation 源自拉丁语 transformaretrans- “跨越/改变” + formare “形成/塑造”),意为“改变形状或形式”。合起来强调:在保持某些几何关系(如直线与平行)下,对形状进行改变。

相关词 Related Wors

文学与著作中的用例 Literary Works

  • Linear Algebra Done Right(Sheldon Axler)
  • Introduction to Linear Algebra(Gilbert Strang)
  • Multiple View Geometry in Computer Vision(Hartley & Zisserman)
  • Computer Vision: A Modern Approach(Forsyth & Ponce)
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     894 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 67ms UTC 20:16 PVG 04:16 LAX 13:16 JFK 16:16
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86