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Media Lab, MIT Cambridge, MA From 4D Capture to 6D Display:  A mask-based approach Ramesh Raskar
Discussion Topics ,[object Object],[object Object],[object Object],[object Object],[object Object]
R Raskar, H Nii, B de Decker, Y Hashimoto, J Summet, D Moore, Y Zhao, J Westhues, P Dietz, M Inami, S Nayar, J Barnwell, M Noland, P Bekaert, V Branzoi, E Bruns Siggraph 2007 Prakash: Lighting-Aware Motion Capture Using Photosensing Markers and Multiplexed Illuminators
Vicon   Motion Capture High-speed  IR Camera Medical Rehabilitation Athlete Analysis Performance Capture Biomechanical Analysis
Imperceptible Tags under clothing, tracked under ambient light Hidden    Marker Tags Outdoors Unique Id
Labeling Space (Indoor GPS) Each location  receives a unique  temporal code But 60Hz  video projector  is too slow Projector Tags Pos=0 Pos=25 5 Time
Pattern MSB Pattern MSB-1 Pattern LSB ,[object Object],[object Object],[object Object],0 1 1 0 0 X=12
Inside of Multi-LED Emitter
Tag
Analog Space Labeling Multi-LED Beacon 1 Beacon 2 Beacon 3 Tag N  ?
Imperceptible Tags Location
Location Orientation
3D Overlay Orientation
Imperceptible Tags Incident Illumination
Inverse  Optical  Mo-Cap ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
On-set MoCap:  Location + Orientation + Incident Illumination
Coded Illumination  Sensor Skin ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Project Topics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Towards a 6D Display Passive Reflectance Field Display Martin Fuchs, Ramesh Raskar, Hans-Peter Seidel, Hendrik P. A. Lensch Siggraph 2008  1 2 1 1 1  MPI Informatik, Germany  2  MIT
Martin Fuchs <mfuchs@mpi-inf.mpg.de>
[object Object],Martin Fuchs <mfuchs@mpi-inf.mpg.de>
electronic: [Nayar et al. 2004] slit based / different patterns: [Scharstein 1996] Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Improved Design Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Variance with Observer Martin Fuchs <mfuchs@mpi-inf.mpg.de> ,[object Object]
Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Observer-Variance Martin Fuchs <mfuchs@mpi-inf.mpg.de>
6D Construction Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Illumination + Spatial Variation Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Variance with Observation Angle Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Towards 6D Martin Fuchs <mfuchs@mpi-inf.mpg.de>
6D Results Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Future Work ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Martin Fuchs <mfuchs@mpi-inf.mpg.de>
Coded Aperture Camera The aperture of a 100 mm lens is modified Rest of the camera is unmodified Insert a  coded mask  with chosen binary pattern
In Focus Photo LED
Out of Focus Photo: Open Aperture
Out of Focus Photo: Coded Aperture
Captured Blurred Photo
Refocused on Person
Mask? Sensor 4D Light Field from  2D Photo:  Heterodyne Light Field Camera Full Resolution Digital Refocusing: Coded Aperture Camera Mask? Sensor Mask Sensor Mask? Sensor Mask Sensor
Light Field Inside a Camera
Lenslet-based Light Field camera [Adelson and Wang, 1992, Ng et al. 2005 ] Light Field Inside a Camera
Stanford Plenoptic Camera  [Ng et al 2005] ,[object Object],Contax medium format camera Kodak 16-megapixel sensor Adaptive Optics microlens array 125 μ  square-sided microlenses
Digital  Refocusing [Ng et al 2005] Can we achieve this with a  Mask  alone?
Mask based Light Field Camera [Veeraraghavan, Raskar, Agrawal, Tumblin, Mohan, Siggraph 2007 ] Mask Sensor
Heterodyne Light Field Camera Scanner sensor Mask [Veeraraghavan, Raskar, Agrawal, Tumblin, Mohan, Siggraph 2007 ] Mask Sensor
How to Capture  4D  Light Field with  2D  Sensor ? What should be the  pattern  of the mask ?
Radio Frequency Heterodyning Receiver: Demodulation High Freq Carrier 100 MHz Reference Carrier Incoming Signal 99 MHz Baseband Audio Signal
Optical Heterodyning Photographic Signal (Light Field) Carrier  Incident Modulated Signal Reference Carrier Main Lens Object Mask Sensor Recovered Light  Field Software Demodulation Baseband Audio Signal Receiver: Demodulation High Freq Carrier 100 MHz Reference Carrier Incoming Signal 99 MHz
Captured 2D Photo Encoding due to Mask
2D FFT Traditional Camera Photo Heterodyne Camera Photo Magnitude of 2D FFT 2D FFT Magnitude of 2D FFT
Computing 4D Light Field 2D Sensor Photo, 1800*1800 2D Fourier Transform, 1800*1800 2D FFT Rearrange 2D tiles into 4D planes 200*200*9*9 4D IFFT 4D Light Field 9*9=81 spectral copies 200*200*9*9
A Theory of Mask-Enhanced Camera ,[object Object],[object Object],[object Object],Main Lens Object Mask Sensor
Related Work ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
f θ f x f θ 0 f x0 Band-limited Light Field Sensor Slice – Fourier Slice Theorem ,[object Object],[object Object]
How to Capture 2D Light Field with 1D Sensor ? f θ f x f θ 0 f x0 Band-limited Light Field Sensor Slice Fourier Light Field Space
Extra sensor bandwidth cannot capture  extra  dimension  of the light field f θ f x f θ 0 f x0 Sensor Slice Extra sensor bandwidth
f θ f x ??? ??? ??? ???
Solution: Modulation Theorem Make spectral copies of 2D light field f θ f x f θ 0 f x0 Modulation Function
f θ Modulated Light Field f x f θ 0 f x0 Modulation Function Sensor Slice captures entire Light Field
Demodulation to recover Light Field f θ f x Reshape  1D Fourier Transform into 2D 1D Fourier Transform of Sensor Signal
f θ f x f θ 0 f x0 Modulation Function == Sum of Impulses Physical Mask = Sum of Cosines
1/f 0 Mask Tile Cosine Mask Used
Where to place the Mask? Mask Sensor Mask Modulation Function Mask Modulation Function f x f θ Mask Sensor
Mask Sensor Where to place the Mask? Mask Modulation Function f x f θ
Mask Sensor d v α α  = (d/v) ( π /2) Where to place the Mask? Mask Modulation Function
Captured 2D Photo Encoding due to Cosine Mask
Computing 4D Light Field 2D Sensor Photo, 1800*1800 2D Fourier Transform  2D FFT Rearrange 2D tiles into 4D planes 200*200*9*9 4D IFFT 4D Light Field 9*9=81 spectral copies 200*200*9*9
Digital Refocusing Only cone in focus Captured Photo
Full resolution 2D image of Focused Scene Parts Captured 2D Photo Image of White Lambertian Plane divide
Coding and Modulation in Camera Using Masks Coded Aperture for Full Resolution Digital Refocusing Heterodyne Light Field Camera Mask? Sensor Mask Sensor Mask Sensor
Discussion Topics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Mask-based Approaches ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],http://raskar.info
Discussion Topics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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