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 11
Topology: How Are
Objects Connected?
Niloy J. Mitra
Topology, in simple terms, gives us a tool to study and understand
how an object is connected. Unlike differential geometric quanti-
ties, topology of an object changes only under extreme changes—
when we allow tearing of the object, or punching holes into it.
Hence, topological invariants are global quantities, and are more
robust compared to local geometric measures.
Figure 11.1: Given 2D and 3D shapes, we are often interested in deter-
mining the number of holes present in such shapes. While for shapes
like those on the left the answer may be clear, for complex shapes like
the one on the
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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.