00:00:00
|
Lecture 3: Linear Filters
|
00:01:42
|
Demo "Haribo Classification"
|
00:03:15
|
You Can Do It At Home...
|
00:04:48
|
Course Outline
|
00:05:29
|
Motivation
|
00:05:55
|
Topics of This Lecture
|
00:07:03
|
Common Types of Noise
|
00:11:50
|
Gaussian Noise
|
00:12:50
|
First Attempt at a Solution
|
00:13:59
|
Moving Average in 2D
|
00:15:12
|
Correlation Filtering
|
00:18:25
|
Convolution
|
00:20:06
|
Correlation vs. Convolution
|
00:21:46
|
Shift Invariant Linear System
|
00:23:27
|
Properties of Convolution
|
00:27:44
|
Averaging Filter
|
00:28:57
|
Smoothing by Averaging
|
00:31:42
|
Smoothing with a Gaussian
|
00:33:04
|
Gaussian Smoothing
|
00:35:30
|
Gaussian Smoothing: variance
|
00:36:39
|
Gaussian Smoothing: kernel size
|
00:39:49
|
Gaussian Smoothing in Matlab
|
00:41:22
|
Effect of Smoothing
|
00:42:56
|
Efficient Implementation
|
00:45:33
|
Filtering: Boundary Issues
|
00:47:11
|
Filtering: Boundary Issues: Methods
|
00:52:44
|
Filtering: Boundary Issues: Methods (MATLAB)
|
00:53:48
|
Topics of This Lecture
|
00:54:21
|
Why Does This Work?
|
00:57:21
|
The Fourier Transform in Cartoons
|
00:58:22
|
Fourier Transforms of Important Functions
|
01:02:45
|
Duality
|
01:04:27
|
Effect of Convolution
|
01:06:38
|
Effect of Filtering
|
01:11:06
|
Low-Pass vs. High-Pass
|
01:14:22
|
Quiz: What Effect Does This Filter Have?
|
01:15:21
|
Sharpening Filter
|
01:16:51
|
Application: High Frequency Emphasis
|
01:18:56
|
Topics of This Lecture
|
01:19:11
|
Non-Linear Filters: Median Filter
|
01:20:26
|
Median Filter
|
01:20:53
|
Median Filter: edge preserving
|
01:21:46
|
Median vs. Gaussian Filtering
|
01:24:33
|
Topics of This Lecture
|
01:24:49
|
Motivation: Fast Search Across Scales
|
01:25:44
|
Image Pyramid
|
01:26:03
|
How Should We Go About Sampling?
|
01:28:11
|
Fourier Interpretation: Discrete Sampling
|
01:29:58
|
Sampling and Aliasing
|
01:31:20
|
Sampling and Aliasing: Nyquist theorem
|
01:32:51
|
Aliasing in Graphics
|
01:33:09
|
Resampling with Prior Smoothing
|
01:34:37
|
References and Further Reading
|