May 2015
Intermediate to advanced
246 pages
6h 33m
English
book
A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing
by Daniel Cohen-Or, Chen Greif, Tao Ju, Niloy J. Mitra, Ariel Shamir, Olga Sorkine-Hornung, Hao Zhang
Content preview from A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing
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182 Graphs and Images
Local minima
Water level
B1
B2 B3 B4
Function
Watersheds
Figure 12.5: A 1D illustration of the watershed algorithm (top). The
water level is gradually raised from all local minima and whenever two
catchment basins meet, a watershed is found. A 2D illustration of part
of the image from Figure 12.2 as a height function (bottom); one can see
the catchment basins and watersheds.
seed until they reach a ridge or maxima in the function, thus
partitioning the function terrain into regions (watersheds).
Using a priority queue based on the height function, this can
be performed in one loop as follows:
Watershed( Graph G, function h )
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