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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104 Laplace and Poisson
Figure 7.2: Poisson problem with Dirichlet boundary condition (left),
and with Neumann boundary condition (right).
in the missing parts, which eventually leads to smooth areas, is a
reasonable assumption. Thus, smoothness is a reasonable prior.
In Figure 7.3 there is a somewhat surprising result of employing
the smoothness prior. The image on the left consists of several
random lines. The pixels along the lines have color values taken
from the corresponding pixels of the image on the right. The
image on the left is completed by synthesizing a smooth image
that agrees with the data along these lines, and is as smooth as
possible ...
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