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College notes Computer Vision 1, deel 2 (52041COV6Y), UvA Master $5.25
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College notes Computer Vision 1, deel 2 (52041COV6Y), UvA Master

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Notes for the course CV1, chapter 8-12 without guest lectures. All important information and slides have been incorporated into it.

Last document update: 2 year ago

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  • February 24, 2022
  • February 24, 2022
  • 62
  • 2021/2022
  • Class notes
  • Shaodi you
  • 8-12

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By: gijsmoens • 2 year ago

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Lecture 8
4-2: Global transform and Image stitching, alignment

old what we did




Global operations

global transform

changing shape of operation

p=(x,y) → p=(x', y')




Computer Vision 59

, transformation T is a coordinate-changing machine: p′ = T (p)
a global T means that T is same for any point p. For linear transformation, we can represent T
as a matrix:




common transformation




scaling:

scaling a coordinate = multiplying each of its components by a scalar

uniform scaling = this scalar is same for all components (x2 everything x2)

non-uniform scaling = different scalars per component




2-D rotation




Computer Vision 60

, homogeneous coordinates

normally we have the following for translation x′ = x + tx ,y′ = y + ty
now representing this as a 3x3 matrix

first representing coordinates in 2D with 3 vector




using the rightmost column




Computer Vision 61

, shear =




affine translations

combinations of linear transformations, and translations. all the 6 you can change




properties:

origin does not necessarily map to origin

.... (not needed for exam)

transformation composition = chain of different operations together




Computer Vision 62

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