RA: Registro en 3D

Universidad Sim贸n Bol铆var

Prof. Angela Di Serio adiserio@usb.ve

x’ y’ z’ 1

=

x y z 1

dx dy + dz 0

x’ y’ z’

=

cos υ -sin υ 0 sin υ cos υ 0 0 0 1

x y z

x’ βx 0 0 y’ = 0 βy 0 z’ 0 0 βz

x y z

x’ = y’ z’

x’ y’ z’ 1

=

x y z 1

dx dy + dz 0

r11 r21 r31

x’ = y’ z’

r12 r22 r32

r13 r23 r33

βx 0 0 0 βy 0 0 0 βz

x y z

x y z

(x,y,z,1) x’ y’ z’ 1

1 = 0 0 0

0 1 0 0

0 0 1 0

dx dy dz 1

(x,y,z,0) x’ y’ z’ 1

x y z 1

x’ y’ z’ 1

r11 = r21 r31 0

r12 r22 r32 0

r13 r23 r33 0

0 0 0 1

βx = 0 0 0

x y z 1

0 βy 0 0

0 0 βz 0

0 0 0 1

x y z 1