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Sampling and Aliasing
1
Introduction
• In computer graphics, we use the term “aliasing” but where does it
come from?
• Sampling theory explains where these errors arise and what we
might do to avoid them
• Explains both digitization and display
2
Sampling Process
• Measure f(x,y) on grid
3
Ambiguity from Samples
4
Basis Images
5
Sampling and Replication
6
Replication with Overlap
7
Aliasing
8
9
Sampling
10
point sampling area sampling
Sinc function
11
Reconstruction with Sinc
12
Two dimensional sinc
13
Point Spread of CRT Beam
14
Reconstruction functions
15
sinc rectangle triangle Gaussian
Quantizer
16

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Sampling and Aliasing