Abstract
Section 2.5 showed that if we ignore fine scales of the image, the tree of shapes is essentially finite. Natural candidates to eliminate these fine details are the grain filters. In the same manner as extrema filters act on upper and lower component trees, we present a similar filter acting on the tree of shapes and study its properties. This chapter is completely in the realm of mathematical morphology but with a somewhat unusual framework, since the domain of the image is not a discrete set of pixels but the continuous domain. In that case, regularity assumptions on the image are required.
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© 2010 Springer-Verlag Berlin Heidelberg
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Caselles, V., Monasse, P. (2010). Grain Filters. In: Geometric Description of Images as Topographic Maps. Lecture Notes in Mathematics(), vol 1984. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04611-7_3
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DOI: https://doi.org/10.1007/978-3-642-04611-7_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04610-0
Online ISBN: 978-3-642-04611-7
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