Microscope Image Processing

corresponds to a point in the parameter space. Thus the Hough transform of

a straight line in image space is a point in the r, u space.

Now consider a particular point x

1

, y

1

in the x, y plane. There are many

straight lines that pass through the point x

1

, y

1

, and each of these corresponds to

a point in the r , u space. These points, however, must satisfy Eq. 9.23 with x

1

and

y

1

as constants. Thus the locus of all such lines in the x, y space is a sinusoid in the

parameter space, and any point in the x, y space (Fig. 9.15b) corresponds to

a sinusoidal curve in the r, u space (Fig. 9.15c).

If a set of edge points x

i

, y

i

lie on a straight line with parameters ...