16.Control Systems Technology by John G. Webster (Editor) PDF

By John G. Webster (Editor)

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When all points have been analyzed, the accumulator array can be examined. Peaks in the accumulator array correspond to good-fit lines for the data (3). Morphology Mathematical morphology can provide an extensive set of tools for analyzing an image. Morphological operations occupy the same image processing niche as filtering operations. They are generally used as a preprocessing tool to condition an im- 61 age for easier recognition. The major difference between filtering and morphological operations is that filtering changes the image based on frequency characteristics, and morphological operations change the object on the basis of shape characteristics.

65 • Fourier Descriptors. Fourier descriptors describe the boundaries of an object using something akin to a twodimensional Fourier expansion and describe the shape of a curved surface. However, the number of terms needed to describe objects with linear sides and sharp corners can be prohibitively large. • Euler Number. Euler numbers are representations of the number of holes in an object. Euler numbers provide an excellent way of distinguishing between disks and washers. For homogeneous objects, the Euler number provides no distinguishing information.

Because morphological operations are based on shape, they are useful if there is a good deal of a priori knowledge about the expected shape of the object. The morphological approach has the additional advantage of mathematical rigor. Instead of each image being expressed as the result of a convolution filter as with the frequency case, morphological operations are built from primitive operations and allow the user to express imaging processing as a kind of algebra. Morphological operations are based on set theory, where the main set (the image) is compared with a subset to determine values such as shape.

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16.Control Systems Technology by John G. Webster (Editor)


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