Geometry Transformations 2001 2005 view coordinate system object
幾何變換 Geometry Transformations 靜宜大學資管系 蔡奇偉 副教授 2001 -2005
view coordinate system object coordinate system world coordinate system z x y
平移（Translation） z v’ dz D v dy dx y x
接下來我們列出其他三度空間的旋轉公式。 Positive Rotation in 3 D ? • Sit at + end of given axis • Look at Origin • CC (Counter Clockwise) Rotation is Positive direction
1. 對 z 軸繞 (p/2 + ) 角 zw zv yv xv xw yw
2. 對 x 軸繞 角 yv yw zw zv xw xv
3. 沿新 z 軸方向平移 m yv zv xv yw m zw xw
3 D object z y x projection plane or view plane
正交投影 (orthographic projection) yv view plane P(xs , ys) P(xv , yv , zv) ys zv xs xv xs = x v ys = y v
Three orthographic projections
透視投影 (perspective projection) view plane yv P(xs , ys) ys view coordinate system P(xv , yv , zv) zv xs xv
d xs looking along y-axis zv P(xv , yv , zv) xv
d ys looking along x-axis zv P(xv , yv , zv) yv
照相機術語 a) camera body b) film size c) camera lens（鏡頭） d) field of view（視野）
y x z
- Slides: 56
