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Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
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Local Features in Natural Images via Singularity Theory (Paperback, 1st ed. 2016)
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Local Features in Natural Images via Singularity Theory (Paperback, 1st ed. 2016)
Series: Lecture Notes in Mathematics, 2165
Expected to ship within 10 - 15 working days
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This monograph considers a basic problem in the computer analysis
of natural images, which are images of scenes involving multiple
objects that are obtained by a camera lens or a viewer's eye. The
goal is to detect geometric features of objects in the image and to
separate regions of the objects with distinct visual properties.
When the scene is illuminated by a single principal light source,
we further include the visual clues resulting from the interaction
of the geometric features of objects, the shade/shadow regions on
the objects, and the "apparent contours". We do so by a
mathematical analysis using a repertoire of methods in singularity
theory. This is applied for generic light directions of both the
"stable configurations" for these interactions, whose features
remain unchanged under small viewer movement, and the generic
changes which occur under changes of view directions. These may
then be used to differentiate between objects and determine their
shapes and positions.
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