Download - Spatial Descriptions
Transcript
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Spatial Descriptions
• Transformations– Mapping– Operator
• Representations
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Position Representations
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Rotation Representations
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Rotation Operator and Rotation mapping - Equivalence
AX
AZ
AY
1PA
2PA
BX
BY
21 PP AB
)(1000cossin0sincos
0cos90cos90cos90coscos)90cos(90cos)90cos(cos
ˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆ
ˆˆˆ
z
ABABAB
ABABAB
ABABAB
BA
BA
BAA
B
R
ZZZYZXYZYYYXXZXYXX
ZYXR
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