CH1 Characterization of continuous images

Question 1

Continuous-space images are modeled as functions f(x,y) of the __

Answer 1

Spatial variables x and y

Question 2

Continuous-space images have __

Answer 2

Finite energy: f in L2

Question 3

A continuous-domain image-processing operator is a mapping _

Answer 3

T : L2 -> L2

Question 4

The complexe sinusoid are the _ of _

Answer 4

Eigenfunction, Linear shif-invariant system
They are (2pi/||w||)-periodic plane waves that propagate in the direction w

Question 5

The 2D Fourier transform of an image reveals its spatial frequency content. The Fourier _ contains the information most relevant perceptually (contours)

Answer 5

Phase

Question 6

The 2D Fourier transform of a _ signal should be determined using 1D transform only

Answer 6

Separable f(x,y) = f1(x) f2(y)

Question 7

A LSI system performs a _

Answer 7

Convolution

Question 8

Continuous-space LSI systems are entirely characterized by their _

Answer 8

impulse response h(x,y)

or equivalently by their transfer function H(wx, wy)

Question 9

A system is linear if and only if it is _ and _

Answer 9

additive : T{f + g} = T{f} + T{g}

and homogenous: T{lambda f} = lambda T{f}

Question 10

Definition of H-inner product

Answer 10

Linearity
Symmetry
Positive define