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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Chapter 10
Scattered-Data
Interpolation
Tao Ju
A classical problem in mathematical and geometric modeling is
to obtain a continuous function from a small number of samples.
The problem arises in various applications. In 3D scanning, for
example, the scanner collects the locations of sample points on
some unknown continuous surface, which needs to be determined
from these samples.
To introduce and define the problem, let us consider a 2D ex-
ample in Figure 10.1: given a few gray-colored dots on the left,
how can we compute a complete image, such as the one on the
right, that interpolates the intensity at each dot? Note that the
problem is ill-posed, because ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.