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Contents
Antialiased shifting and resizing
Dan Fain, Denis Zorin
Contents
Introduction
Aliasing
Quantization
Background
Fourier transform
Frequency domain.
Spatial frequency.
Angular frequency units.
One-dimensional signals
Fourier transform
Inverse Fourier transform
Examples
Constant function
Box
Comb
Useful properties
Filtering and convolution
Linearity and shift invariance
Band-pass filtering example
Frequency response; impulse response
Discrete signals
Fourier transform of discrete signals
Shannon sampling theorem
Discrete convolution
Sampling and reconstruction pipelines
Sampling
Shifting images
Combination of filtering operations
Discrete implementation
Enlargement and reduction
Fourier zoom property
Reconstruction, zooming, and resampling
Combination of filtering operations
Discrete implementation
Implementation considerations
Choice of low-pass filters
Two-dimensional convolution
Edge detection
Denis Zorin
