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Wavelengths and Colors Ankit Mohan MAS.131/531 Fall 2009

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Page 1: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Wavelengths and Colors

Ankit MohanMAS.131/531 Fall 2009

Page 2: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Epsilon over time (Multiple photos)

Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer.

Congress.

Page 3: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Epsilon over time (Bracketing)

Color wheel used in DLP projectors

Image courtesy of shannonpatrick17 on Flickr.

Page 4: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Epsilon over sensors

3CCD imaging system for color capture

Images: Left © Wikipedia User:Cburnett. Upper right © Wikipedia User:Xingbo.License CC BY-SA. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse.Lower right, public domain image by Dick Lyons.

Page 5: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Epsilon over pixelsBayer Mosaicing for color capture

Images: Wikipedia. © Wikipedia User:Cburnett.License CC BY-SA. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse.

Demosaicing to interpolate a full color, high resolution image

Source: Wikipedia © Wikipedia User:Cburnett. License CC BY-SA. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse.

Page 6: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Color sensing in Digital Cameras

Foveon X3 sensor

Nikon dichroicmirrors

Image: Wikipedia. © Wikipedia User:Anoneditor.License CC BY-SA. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse.

Page 7: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Electromagnetic spectrum

Visible Light: ~400-700 nm wavelength

Source: NASA

Page 8: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Spectroscope[http://en.wikipedia.org/wiki/Spectroscopy]

Images: Left © Wikipedia User:Kkmurray. Right © Wikipedia User:Deglr6328.License CC BY-SA. This content is excluded from our Creative Commons license. For more information, see http://ocw.mit.edu/fairuse.

Page 9: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Multispectral Imaging

Image removed due to copyright restrictions.

In KlemasRemote Sensing and Geospatial Technologies for Coastal Ecosystem Assessment. Edited by Xiaojun Yang. Springer, 2009.Preview in Google Books.

Page 10: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Multispectral Scanning (data cube)

Diagram removed due to copyright restrictions.

Page 11: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Thermal Imaging[http://www.cas.sc.edu/geog/rslab/551]

Glass is opaque;use Germanium lenses

Set of Thermal Imaging photos removed due to copyright restrictions.

Page 12: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Thermal Imaging

[Pavlidis et al., Nature 2002]

[http://www.falstad.com/thermal]

Two photos removed due to copyright restrictions.

Courtesy of Paul Falstad. Used with permission.

Page 13: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Near Infrared Photography

Four photos removed due to copyright restrictions.

Page 14: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Remote Sensing

Images removed due to copyright restrictions.

Page 15: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

UV photography [http://www.naturfotograf.com]Quartz lenses

Six flower photos removed due to copyright restrictions.

Page 16: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

CIE 1931 Chromaticity Diagram

Page 17: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

B

G

R

Fuji Velvia 50 filmNikon D70 camera

sRGB color space

Fixed color primaries

Page 18: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

R = ?

G = ?

B = ?

B

G

R

Outside the Color Gamut

Page 19: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

R 0.0

B

G

R

Colorimetric or Photometric mapping

Page 20: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Wide Gamut vs. High Power

B

G

R

400nm 700nm550nm

Wide Color Gamut

Page 21: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Adaptive Color Primaries

Page 22: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Ix400nm 700nm550nm

A B C

Ix

Arbitrary white 1D signal

Page 23: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

C

B

A

Pinhole

Object Image

Pinhole Camera

xI

x

I

Page 24: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Pinhole

Object Lens L1

C

B

A

x

I

Page 25: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Pinhole

Object PrismLens L1

C

B

A

x

I

Page 26: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

Spectral Light Field

Prism

x

Page 27: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Placing a 1D screen in a 2D light-field gives a 1D projection in a direction perpendicular to the screen.

Light-Field

Page 28: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

xx

pI

x

I

Screen

Prism

Page 29: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

pI

x

I

Prism

Page 30: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

t =Prism

x

II

p

t

Page 31: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

Lens L2x

I

tS

Prism

Page 32: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Lens L2x

I

x

Prism

tSt

Page 33: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

tR

Lens L2x

I

x

Prism

tSt

Page 34: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç
Page 35: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

Sensor plane (t=ts)

Ip

tSt

Page 36: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

Rainbow plane (t=tR)

I

p

All rays of the a given wavelength, from all points in the scene, converge to a

unique point in the R-plane.

tRt

Page 37: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x I

p

Ix400nm 700nm550nm

Ix

Rainbow plane (t=tR)

Page 38: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x I

p

Ix400nm 700nm550nm

Ix

Rainbow plane (t=tR)

Page 39: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x I

p

IR400nm 700nm550nm

Ix

IB400nm 700nm550nm

Rainbow plane (t=tR)

Page 40: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

position

Rainbow plane (t=tR)

tRt

Page 41: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

Mask in the Rainbow plane

x

X

0

1tRt

Page 42: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

0

Mask in the Rainbow plane

tRt

Page 43: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

0

Ip

Mask in the Rainbow plane

tRt tS

Page 44: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

0

Ip

Mask in the Rainbow plane

tRt tS

Page 45: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

0

Ip

Mask in the Rainbow plane

tRt tS

Page 46: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

x

0

0

Ip

Mask in the Rainbow plane

tRt tS

Page 47: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Control the spectralsensitivity of the

sensor by placing an appropriate grayscale masks in the R-plane.

Rainbow plane (t=tR)

tRt tS

Page 48: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

C

B

A

PinholeLens L1

Prism orDiffraction Grating

Lens L2 Sensor

R-planemask

Scene

Page 49: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Lens L1

Prism orDiffraction Grating

Lens L2 Sensor

R-planemask

Scene

PinholeLens L1

Page 50: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Prism orDiffraction Grating

Lens L2 Sensor

R-planemask

Scene

Aperture and Lens L1

Page 51: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

DiffractionGrating Lens L2 Sensor

R-planemaskLens L1

Mohan, A., R. Raskar, and J. Tumblin. “Agile Spectrum Imaging: Programmable Wavelength Modulation for Cameras and Projectors.” Proceedings of Eurographics 2008.

Page 52: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Agile Spectrum Camera

Test Setup

Page 53: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

400nm 700nm550nm

m( )

400nm 700nm550nm

m( )

400nm 700nm550nm

m( )

No Mask Two opaque stripes

One opaque stripe

Page 54: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

400nm

m( )

700nm550nm

Mohan et al. Eurographics 2008.

Page 55: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç
Page 56: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

400nm

m( )

700nm550nm

Page 57: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

DiffractionGrating Lens L2

R-planemaskLens L1 Screen

Mohan et al. Eurographics 2008.

Page 58: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

MetamersWhite Illumination Monochromatic Illumination

Mohan et al. Eurographics 2008.

Page 59: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Traditional three primary projector

Agile-spectrumprojector

Mohan et al. Eurographics 2008.

Page 60: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Traditional three primary projector

time

Py

Page 61: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Adaptive primary projector

time

Py

Page 62: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Deuteranope red/green color blindnessW

hite

ligh

tM

agenta light

Deuteranope simulation

Mohan et al. Eurographics 2008.

Page 63: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Limitations

Relatively coarse control due to crude setup with off-the-shelf components.

Diffraction artifacts.

Small F-number of the objectivelens (we used ~f/16).

Chromatic artifacts in out-of-focus regions for the projector.

Page 64: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Improved designMask instead of pinhole at L1

Better optics (LCD/DMD) and calibration

Future work

ApplicationsAdaptive color primaries

Stereo projector

DiffractionGrating Lens L2 Sensor

R-planemask

Mask and Lens L1

Ix400nm 700nm550nm

Bl Gl RlIx

400nm 700nm550nm

Br Gr Rr

Left eye Right eye

Page 65: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Overlapping Light Fields

B

A x

Prism

(x0, 0)

x

Page 66: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Overlapping Light Fields

B

A x

Prism

x

Page 67: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Diffuse, fronto-parallel case

B

A

Prism

x

x

Page 68: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

Blurred Light Fields

B

A x

Prism

x

Convolution of spectral light field with a box filter

Page 69: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

C

B

A

PinholeLens L1

Prism

Scene

Pinhole multi-spectral camera

2

1

0

x x

Ligh

t fie

ld c

amer

a

x

Page 70: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç
Page 71: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

C

A

Lens L1Scene

Rainbow multi-spectral camera

x

Ligh

t fie

ld c

amer

a

x

x

x

Linear Variable Interference Filter

Page 72: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

C

A

Lens L1Scene

Mask based multi-spectral camera

x

Ligh

t fie

ld c

amer

a

x

x

PrismMask, m( )

Page 73: Wavelengths and Colors - MIT OpenCourseWare · Prokudin-Gorskii, Sergei Mikhailovich, 1863-1944, photographer. í íd Z µ l Z u ] [ [ U W ] v v W Z } } P Z ] À ] ] } v U > ] Ç

MIT OpenCourseWarehttp://ocw.mit.edu

MAS.531 Computational Camera and PhotographyFall 2009

For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.