spatial descriptions
DESCRIPTION
Spatial Descriptions. Transformations Mapping Operator Representations. Position Representations. Rotation Representations. Rotation Operator and Rotation mapping - Equivalence. . . . - PowerPoint PPT PresentationTRANSCRIPT
Spatial Descriptions
• Transformations– Mapping– Operator
• Representations
Position Representations
Rotation Representations
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