Piotr Mirowski

Computer Vision, Spring 2006

Homework 1 - Image Measurements



Matlab code:

HW1.m

IntensityAccumulation.m

IntensityDerivative.m

LineGridIntersection.m

DisplayImage.m

WriteImage.m


1A - Image processing results on the Circle image


Intensity accumulation (with linear interpolation) I tilde

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6

Average intensity accumulation Î

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6

Intensity derivative DI

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6



1B - Image processing results on the Trapeze image


Intensity accumulation (with linear interpolation) I tilde

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6

Average intensity accumulation Î

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6

Intensity derivative DI

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6



2A - Image processing results on the Noisy Circle image


Intensity accumulation (with linear interpolation) I tilde

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6

Average intensity accumulation Î

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6

Intensity derivative DI

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6



2B - Image processing results on the Noisy Trapeze image


Intensity accumulation (with linear interpolation) I tilde

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6

Average intensity accumulation Î

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6

Intensity derivative DI

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6



3 - Image processing results on the Butterly image


Intensity accumulation (with linear interpolation) I tilde

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6

Average intensity accumulation Î

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6

Intensity derivative DI

Scale 3

Scale 5

Scale 7

0

- pi / 6

- pi / 4

- pi / 3

- pi / 2

- 2 pi / 3

- 3 pi / 4

- 5 pi / 6