Optimizing the Blur-Noise Tradeoff with Multiple-Photo Capture

author: Samuel Hasinoff, Computer Science and Artificial Intelligence Laboratory, Massachusetts Institute of Technology, MIT
published: Jan. 12, 2011,   recorded: December 2010,   views: 151
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Slides

Slides
0:00 Optimizing the Blur-Noise Tradeoff with Multiple-Photo Capture
0:21 Teh Computational Camera Zoo
2:53 Application: Defocus Blur in Photography
3:41 Extended Depth of Field within Time Budget - 1
4:11 Extended Depth of Field within Time Budget - 2
5:05 Extended Depth of Field within Time Budget - 3
5:45 Extended Depth of Field within Time Budget - 4
6:50 Optimal Time-Constrained Photography - 1
7:34 Optimal Time-Constrained Photography - 2
9:41 Key Results - 1
9:59 Key Results - 2
10:11 Key Results - 3
10:30 Key Results - 4
11:02 Content - 1
11:09 The Blur-Noise Tradeoff
11:57 The Space of Focal Stacks: Example
13:12 Content - 2
13:14 Deriving the Expected SNR of a Focal Stack - 1
13:51 Deriving the Expected SNR of a Focal Stack - 2
15:00 Deriving the Expected SNR of a Focal Stack - 3
15:58 Deriving the Expected SNR of a Focal Stack - 4
17:53 Recap
18:04 The Optimal Focal Stack: Various Time Budgets
19:36 Why Underexposed Focal Stacks are Better
19:42 The Optimal Focal Stack: Various Time Budgets
19:56 Why Underexposed Focal Stacks are Better
24:50 Content - 3
24:52 Time-Constrained Photography (planar scene) - 1
25:21 Time-Constrained Photography (planar scene) - 2
26:01 Time-Constrained Photography (non-planar scene)
26:32 Content - 4
26:43 Optimal Photography for Computational Cameras - 1
26:55 Optimal Photography for Computational Cameras - 2
27:32 Standard Camera vs. Computational Cameras - 1
27:55 Standard Camera vs. Computational Cameras - 2
28:01 Standard Camera vs. Computational Cameras - 3
29:11 Standard Camera vs. Computational Cameras - 4
29:30 Standard Camera vs. Computational Cameras - 5
29:42 Standard Camera vs. Computational Cameras - 6
29:51 Standard Camera vs. Computational Cameras - 7
30:12 "In Defense of the Conventional Camera" - 1
30:46 "In Defense of the Conventional Camera" - 2
31:36 Bonus: Less Motion Blur
32:28 Contact
35:05 Bonus: Less Motion Blur

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Description

Capturing multiple photos at different focus settings is a powerful approach for reducing optical blur, but how many photos should we capture within a fixed time budget? We develop a framework to analyze optimal capture strategies balancing the tradeoff between defocus and sensor noise, incorporating uncertainty in resolving scene depth. We derive analytic formulas for restoration error and use Monte Carlo integration over depth to derive optimal capture strategies for different camera designs, under a wide range of photographic scenarios. We also derive a new upper bound on how well spatial frequencies can be preserved over the depth of field. Our results show that by capturing the optimal number of photos, a standard camera can achieve performance at the level of more complex computational cameras, in all but the most demanding of cases. We also show that computational cameras, although specifically designed to improve one-shot performance, generally benefit from capturing multiple photos as well.

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