A binary image contains straight lines oriented horizontally, vertically, at 45°, and at - 45°. Give a set of 3 x 3 masks that can be used to detect 1-pixel breaks in these lines. Assume that the intensities of the lines and background are 1 and 0, respectively.
In image processing, detecting breaks in straight lines in binary images can be achieved using convolutional masks. To detect 1-pixel breaks in lines oriented horizontally, vertically, at 45°, and at -45°, we can use a set of 3x3 masks specifically designed for each orientation. These masks are applied to the binary image to identify the presence of line breaks by examining the surrounding pixel intensities.
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Apply Prewitt operators and Sobel operators for the image given below:
A binary image contains straight lines oriented horizontally, vertically, at 45°, and at - 45°. Give a set of 3 x 3 masks that can be used to detect 1-pixel breaks in these lines. Assume that the intensities of the lines and background are 1 and 0, respectively.
Find an expression for the signature of each of the following boundaries, and plot the signatures.
i) An equilateral triangle
ii) A rectangle
iii) An ellipse
Consider the two image subsets, S₁ and S2, shown in the following figure. For V = {1}, determine whether these two subsets are (i) 4-adjacent, (ii) 8-adjacent, or
(iii) m-adjacent.
Consider a linear, position-invariant image degradation system with impulse response
Supose that the input to the system is an image cosnsiting of a line of infinitesimal width located at x = a, and modeled by f(x, y) = 8(x-a), where 8 is an impulse. Assuming no noise, what is the output image g(x, y)?
Two images, f (x,y) and g (x,y), have histograms he and hg. Give the condition under which you can determine the histograms of
i) f(x,y)+g(x, y)
ii) f(x,y)-g(x,y)
iii) f(x, y)xg(x, y)
iv) f(x,y)+g(x,y)
Consider a 3x3 spatial mask that averages the four closet neighbours of a point
(x, y), but excludes the point itself from the average.
i) Find the equivalent filter, H (u, v), in the frequency domain.
ii) Show that your result is a lowpass filter.