Transformasi
Transformasi
Transformasi
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<strong>Transformasi</strong> Matriks 3 Dimensi• Translation⎡ x ' ⎤ ⎡10 tx ⎤⎡x ⎤⎥⎢⎥⎢⎥⎢ ⎢ y'⎥=⎢0 1 ty⎥ ⎥ ⎥⎢ ⎥ ⎢ ⎢⎢⎢ y⎣ 1 ⎦ ⎣00 1 ⎦ ⎣ 1 ⎥⎦• Rotation⎡x'⎤ ⎡cosθ− sinθ0⎤⎡x⎤⎢⎥⎢⎥⎢y'⎥=⎢ ⎢ sinθcosθ0⎥ ⎥ ⎢y⎥⎣⎢1 ⎦⎥⎢⎣0 0 1⎥⎦⎣ ⎢1⎥⎦• Scaling• Shear⎡ x ' ⎤ ⎡sx0 0⎤⎡x⎤⎡ x ' ⎤ ⎡ 1 shx0⎤⎡x ⎤⎢ ⎥=⎢ ⎥⎢⎥⎢y'⎥ ⎢0 s 0⎥⎢y⎢ ⎥ ⎢⎥⎢⎥y⎥⎢y'⎥=⎢shy1 0⎥⎢y⎥⎢⎣ 1 ⎥⎦⎢⎣001⎥⎦ ⎢ ⎣1⎥⎦⎢⎣ 1⎥⎦⎢⎣001⎥⎦ ⎢ ⎣1⎥ ⎦