Lecture 7/8 2D transformation and projection Flashcards

1
Q

What transformations can be represented by p_prime
= M x p

A
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2
Q

Visualise a 2D transform to scale an image

A
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3
Q

Visualise a 2D transform to stretch an image

A
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4
Q

Visualise a 2D transform to Flip an image horizontally

A
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5
Q

Visualise a 2D transform to Shear / Skew an image

A
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6
Q

Visualise a 2D transform to rotate an image ANTI-CLOCKWISE

A
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7
Q

Visualise a 2D transform to rotate an image CLOCKWISE

A
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8
Q
A
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9
Q

How do you go from a set of homogeneous points to a set of un-homogeneous points?

A

Divide by 3rd point

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10
Q

Visualise a 2D transform to translate an image

A
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11
Q

Visualise a rotation followed translation by matrix

A

p0 = ( T R ) p

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12
Q

Visualise a translation followed by rotation matrix ANTI-CLOCKWISE

A

p0 = ( R T ) p

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13
Q

What are the steps to rotate about an arbitrary point

A
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14
Q

How do I perform compound transformations using row vectors?

A
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15
Q

How many points are needed to align images with an affine transform?

A
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16
Q

How many points are needed to align images with a homography transform?

A
17
Q

How do we warp images given a known linear transform?

A
18
Q

Describe Bilinear interpolation

A
19
Q

Describe Nearest-neighbour
interpolation

A

Take a point from an image
[x, y] = [132.45, 80.26]

Round the x-coordinate
[132.45, 80.26] à [132, 80.26]

Round the y-coordinate
[132, 80.26] à [132, 80]

Considers only the nearest pixel

20
Q

What equations are used for bi-linear interpolation?

A