1 of 10

座標系統轉換

蘇東興

2 of 10

座標轉換

  1. 0

0 1

1

0

=

1

0

  1. 0

0 1

0

1

=

0

1

(1, 0)

(0, 1)

3 of 10

座標轉換

  1. 1

0 1

1

0

=

1

0

  1. 1

0 1

0

1

=

1

1

  1. 1

0 1

0

0

=

0

0

(1, 1)

(1, 0)

(0, 1)

(0, 1)

(1, 0)

新座標系統

座標轉換

舊座標系統

4 of 10

座標轉換

  1. 1/4

0 1

1

0

=

1

0

  1. 1/4

0 1

0

1

=

1/4

1

  1. 1

0 1

0

0

=

0

0

(0, 1)

(1, 0)

(1/2, 1)

(1, 0)

(0, 1)

新座標系統

座標轉換

舊座標系統

5 of 10

座標轉換

  1. 2

0 1

1

0

=

1

0

  1. 2

0 1

0

1

=

2

1

  1. 2

0 1

0

0

=

0

0

(2, 1)

(1, 0)

(0, 1)

(0, 1)

新座標系統

座標轉換

舊座標系統

6 of 10

座標轉換

  1. 4

0 1

1

0

=

1

0

  1. 4

0 1

0

1

=

4

1

  1. 4

0 1

0

0

=

0

0

(4, 1)

(0, 1)

座標轉換

(1, 0)

(0, 1)

(1, 0)

新座標系統

舊座標系統

7 of 10

座標轉換

  1. 0

0 1

1 1

1

0

=

1

0

1

  1. 0

0 1

1 1

0

1

=

0

1

1

(1, 0)

(0, 1)

2D -> 3D 座標轉換

(0, 1, 1)

(1, 0, 0)

(0,1,0)

3D 座標

2D 座標

(1, 0, 1)

8 of 10

座標轉換

  1. 0

0 1

1 1

x

y

=

X

y

1

  1. 0

0 1

0 0

x

y

=

x

y

0

(1, 0)

(0, 1)

座標轉換

(0,1,0)

(1, 0, 0)

(0,0,1)

2D 座標

3D 座標

9 of 10

座標轉換

  1. 0 0

0 1 0

1

0

=

1

0

1

0

1

=

0

1

1

  1. 0 0

0 1 0

3D -> 2D 座標轉換

(0, 1, 1)

(1, 0, 0)

(0,1,0)

3D 座標

(1, 0, 1)

(1, 0)

(0, 1)

2D 座標

10 of 10

高中數學 座標轉換

  1. https://www.youtube.com/watch?v=phVjV0lIhsA&ab_channel=JavierZhang

​

  • https://www.youtube.com/watch?v=o8chIJz-1zc&ab_channel=Q%E4%BB%94%E9%AB%98%E4%B8%AD%E6%95%B8%E5%AD%B8%E6%95%99%E5%AE%A4

​

  • https://www.youtube.com/watch?v=pQIrnw4x1AU&ab_channel=%E3%80%90%E5%91%A8%E6%9D%B0%E6%95%B8%E5%AD%B8%E3%80%91-%E6%9C%80%E5%A5%BD%E5%90%B8%E6%94%B6%E7%9A%84%E9%AB%98%E4%B8%AD%E6%95%B8%E5%AD%B83D