3D projection

\begin{bmatrix} \mathbf{d}_x \\ \mathbf{d}_y \\ \mathbf{d}_z \\ \end{bmatrix}=\begin{bmatrix} 1 & 0 & 0 \\ 0 & {\cos ( \mathbf{- \theta}_x ) } & { - \sin ( \mathbf{- \theta}_x ) } \\ 0 & { \sin ( \mathbf{- \theta}_x ) } & { \cos ( \mathbf{- \theta}_x ) } \\ \end{bmatrix}\begin{bmatrix} { \cos ( \mathbf{- \theta}_y ) } & 0 & { \sin ( \mathbf{- \theta}_y ) } \\ 0 & 1 & 0 \\ { - \sin ( \mathbf{- \theta}_y ) } & 0 & { \cos ( \mathbf{- \theta}_y ) } \\ \end{bmatrix}\begin{bmatrix} { \cos ( \mathbf{- \theta}_z ) } & { - \sin ( \mathbf{- \theta}_z ) } & 0 \\ { \sin ( \mathbf{- \theta}_z ) } & { \cos ( \mathbf{- \theta}_z ) } & 0 \\ 0 & 0 & 1 \\ \end{bmatrix}\left( {\begin{bmatrix} \mathbf{a}_x \\ \mathbf{a}_y \\ \mathbf{a}_z \\ \end{bmatrix} - \begin{bmatrix} \mathbf{c}_x \\ \mathbf{c}_y \\ \mathbf{c}_z \\ \end{bmatrix}} \right)

This representation corresponds to rotating by three Euler angles (more properly, Tait–Bryan angles), using the xyz convention, which can be interpreted either as "rotate about the extrinsic axes (axes of the scene) in the order z, y, x (reading right-to-left)" or "rotate about the intrinsic axes (axes of the camera) in the order x, y, z (reading left-to-right)". Note that if the camera is not rotated ( $\mathbf{\theta}_{x,y,z} = \langle 0,0,0\rangle$ ), then the matrices drop out (as identities), and this reduces to simply a shift: $\mathbf{d} = \mathbf{a} - \mathbf{c}.$

词汇	Perspective Projection
分类	英语词汇英语翻译词典
释义	Perspective Projection 原声例句科技 Crash Course This type of 3D projection is called Perspective Projection. 这种类型的 3D 投影称为透视投影。英语百科 3D projection $\begin{bmatrix} \mathbf{d}_x \\ \mathbf{d}_y \\ \mathbf{d}_z \\ \end{bmatrix}=\begin{bmatrix} 1 & 0 & 0 \\ 0 & {\cos ( \mathbf{- \theta}_x ) } & { - \sin ( \mathbf{- \theta}_x ) } \\ 0 & { \sin ( \mathbf{- \theta}_x ) } & { \cos ( \mathbf{- \theta}_x ) } \\ \end{bmatrix}\begin{bmatrix} { \cos ( \mathbf{- \theta}_y ) } & 0 & { \sin ( \mathbf{- \theta}_y ) } \\ 0 & 1 & 0 \\ { - \sin ( \mathbf{- \theta}_y ) } & 0 & { \cos ( \mathbf{- \theta}_y ) } \\ \end{bmatrix}\begin{bmatrix} { \cos ( \mathbf{- \theta}_z ) } & { - \sin ( \mathbf{- \theta}_z ) } & 0 \\ { \sin ( \mathbf{- \theta}_z ) } & { \cos ( \mathbf{- \theta}_z ) } & 0 \\ 0 & 0 & 1 \\ \end{bmatrix}\left( {\begin{bmatrix} \mathbf{a}_x \\ \mathbf{a}_y \\ \mathbf{a}_z \\ \end{bmatrix} - \begin{bmatrix} \mathbf{c}_x \\ \mathbf{c}_y \\ \mathbf{c}_z \\ \end{bmatrix}} \right)$ This representation corresponds to rotating by three Euler angles (more properly, Tait–Bryan angles), using the xyz convention, which can be interpreted either as "rotate about the extrinsic axes (axes of the scene) in the order z, y, x (reading right-to-left)" or "rotate about the intrinsic axes (axes of the camera) in the order x, y, z (reading left-to-right)". Note that if the camera is not rotated ( $\mathbf{\theta}_{x,y,z} = \langle 0,0,0\rangle$ ), then the matrices drop out (as identities), and this reduces to simply a shift: $\mathbf{d} = \mathbf{a} - \mathbf{c}.$
随便看	coming here coming in coming-of-age coming of age coming off comings comings and goings coming soon coming to an end coming together coming to light coming to university coming to work coming true coming under coming up coming upon coming up with comma Command command commandant Commandante commanded commandeer 文案爱情感悟人生语录是什么意思镜头中的情感描写句子怎么写是什么意思冷血情书是什么意思难忘母爱表达了怎样的情感是什么意思情感语录衣服破了的句子是什么意思该放下的情感句子附图是什么意思怒放的生命表达了什么情感是什么意思散文两性情感的特点有哪些是什么意思沙雕油腻情感文案长句是什么意思周大福情书对戒是什么意思江达情感语录是什么意思忠于情感句子简短英文翻译是什么意思内涵情感搞笑句子短句文案是什么意思情感散文书推荐爱情篇阅读是什么意思感言很深的情感句子是什么意思老公不爱我，我很清楚他有外遇了和妻子离婚想和情人在一起，情人却处了新对象我自己没有经济能力，感觉好无力和老婆吵架了，她又生气走了，我是真的没办法老婆和喜欢他的男同事经常出差怎么办无性婚姻出轨一年有余，以后怎么办老公出轨了要和我离婚，我该怎么挽回他从老公手机发现开房记录，才知道他出轨多年表哥喜欢摸我胸部，还导致我怀孕了我已婚，却爱上了别的女人，怎么办怀疑老婆出轨了怎么办，怎样挽回婚姻发现老婆有出轨的迹象怎么办我曾经离过一次婚，因为他背着我在外面乱搞老公早上因为房事生气不理我了，我该怎么办我已婚有小孩，喜欢上了一个有家庭的女人数学方法数学期望数学的崇高数学空间数术数理逻辑数论函数数论派数论谓词数词可表达性整一性整体与部分整体与部分整体主义整体吠檀多水星双子水星水瓶合适吗水星双子座跟水星天蝎合适吗太阳双子座和水星双子座合适吗太阳双子座上升双子水星白羊的人怎么样水星双子座聪明吗太阳双子水星双子座女生的人怎么样水星水瓶和水星双子座合适吗水星天蝎和水星双子座合适吗水星双子座和水星双子合适吗水星白羊与水星双子座合适吗水星摩羯座水星双子座相似吗水星双鱼座水星双子座合适吗水星双子座和水星双鱼合适吗水星白羊和水星双子座合适吗水星金牛与水星双子座合适吗

Perspective Projection

3D projection