OpenCV Android Programming By Example by Mohammad Amgad

Author:Mohammad, Amgad
Language: eng
Format: epub, azw3
Publisher: Packt Publishing
Published: 2015-12-15T05:00:00+00:00

In the following image, we have five points in the x and y space (left). When converted to the slope and intercept space, we get five lines (right):

Now, every point in the x and y space will vote for a slope and intercept in the slope and intercept space, so all we have to do is find the maxima in the parameter space and this will be the line to fit our points on:

In the right image of preceding image, you can find the maxima value based on the votes of the points in the left image, and in the left image, you can see that the maxima is the slope and intercept of the line fitting the points.

In the case of vertical lines, the slope is infinity and that's why it is more practical to use the polar equation of a line instead the slope and intercept form. In this case, the equation that we will work with is , and again we have two parameters and , and we will follow the same idea except that the space is now and instead of the slope and intercept.

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