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Spatial Descriptions • Transformations – Mapping – Operator • Representations

Spatial Descriptions

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Spatial Descriptions. Transformations Mapping Operator Representations. Position Representations. Rotation Representations. Rotation Operator and Rotation mapping - Equivalence. . . . - PowerPoint PPT Presentation

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Page 1: Spatial Descriptions

Spatial Descriptions

• Transformations– Mapping– Operator

• Representations

Page 2: Spatial Descriptions
Page 3: Spatial Descriptions

Position Representations

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Rotation Representations

Page 5: Spatial Descriptions

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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