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GGeeoom meettrriicc
TTrraannssffoorrm maattiioonn
CCSS 221111AA
WWhhaatt iiss ttrraannssffoorrmmaattiioonn??
? Moving points
? (x,y) moves to (x+t, y+t)
? Can be in any dimension
- 2D - Image warps
- 3D - 3D Graphics and Vision
? Can also be considered as a
movement to the coordinate axes
HHoommooggeenneeoouuss CCoooorrddiinnaatteess
Y
Note: (2x/y, 2),
(3x/y,3), and (x/y,1) Q (2x,2y)
represent the same
1D point P' Any point on the same
P (x,y) vector has the same
homogeneous
y=1 coordinates
P' (x/y,1) 1D points on the line is
represented by 2D array,
X
called homogeneous
coordinates
Title: Microsoft PowerPoint - geom.ppt
Author: majumder
Creator: PScript5.dll Version 5.2.2
Producer: Acrobat Distiller 6.0 (Windows)
CreationDate: Mon Jan 31 10:48:43 2011
ModDate: Mon Jan 31 10:48:43 2011
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Pages: 62
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Page size: 612 x 792 pts (letter) (rotated 90 degrees)
File size: 1353417 bytes
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PDF version: 1.4