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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122 Curvatures: A Differential Geometry Tool
Figure 8.4: Using principal curvatures (shown in blue and red), a surface
can be efficiently represented in terms of polygons. Such a curvature-
aware polygonal representation of the surface, as shown in the right
figure, helps to better retain geometric features, thus preserving surface
qualities using a given polygon count [ACSD
+
03].
Curvature of a curve
Curvatures measure the extent of bending. This is a differential
property that can be defined as a measure of the rate of deviation
between the surface and the tangent plane of that surface at a
given point.
Let us first examine the notion of curvature in 1D, where ...
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I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
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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.