Diffusion Coding Photography as long as Extended Depth of Field SIGGRAPH 2010 Ollie Cossairt, Changyin Zhou, Shree Nayar Columbia University Conventional Camera (F/1.8) Camera Blur Model Deblurring Problems Focus Sweep Camera

Diffusion Coding Photography as long as Extended Depth of Field SIGGRAPH 2010 Ollie Cossairt, Changyin Zhou, Shree Nayar Columbia University Conventional Camera (F/1.8) Camera Blur Model Deblurring Problems Focus Sweep Camera www.phwiki.com

Diffusion Coding Photography as long as Extended Depth of Field SIGGRAPH 2010 Ollie Cossairt, Changyin Zhou, Shree Nayar Columbia University Conventional Camera (F/1.8) Camera Blur Model Deblurring Problems Focus Sweep Camera

Lachapelle, Leza, News Director/Morning Show Host has reference to this Academic Journal, PHwiki organized this Journal Diffusion Coding Photography as long as Extended Depth of Field SIGGRAPH 2010 Ollie Cossairt, Changyin Zhou, Shree Nayar Columbia University Conventional Camera (F/1.8) Focused Image PSF Image Noise Captured Image Camera Blur Model Spatial domain

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Deblurring Problems MTF Captured image low MTF values Problem 1: Variation with depth Extending Depth of Field: Previous Work Focus Sweep Cameras [Hausler ’72] [Nagahara et al. ’08] Lens Focal Plane Sensor Focus Sweep Camera Lens Scene Sensor = t = 2 t = 3 t = 4 t = 5 t = 6 t = 7 Final PSF [Hausler ’72] [Nagahara et al. ’08]

Focus Sweep Camera = Instantaneous PSF t = 1 t = 2 t = 3 t = 4 t = 5 t = 6 t = 7 Final PSF Instantaneous PSF t = 1 depth 1 depth 2 Lens Scene Sensor [Hausler ’72] [Nagahara et al. ’08] Wavefront Coding Lens Scene Sensor Cubic Phase Plate x u [Dowski in addition to Cathey ’95] Lens Resolution Target Sensor EDOF Camera Comparison

Focus Sweep Wavefront Coding Deblurred image EDOF Camera Comparison Deblurring Error Deblurring Error Depth Is it possible to achieve the per as long as mance of focus sweep without moving parts

Optical Diffusers Circular diffuser [http://www.luminitco.com] Diffuser sheets SEM image Diffuser Kernels Lens Sensor x u Diffuser Kernels Without diffuser Lens Sensor u x With diffuser x u

Diffuser Kernels Lens Sensor u x u x x u Without diffuser With diffuser Diffusion Coded PSF u x Without diffuser u x With diffuser u x Diffuser kernel Light field space Radially Symmetric Light Field For an on-axis, isotropic point source:

Radially Symmetric Diffuser For a radially-symmetric diffuser kernel Radially Symmetric Diffuser PSFs Coded PSF Scatter function Camera PSF Conventional diffuser Diffusion Coding Per as long as mance Deblurring Error vs. Depth Depth Wavefront Coding Focus Sweep noise Similar per as long as mance to focus sweep without moving parts

Diffuser Implementation 11 0 Thickness (um) 3 8 6 3 2 1 r (mm) [www.rpcphotonics.com] Diffuser surface profile [Sales et al. ‘03] Garcia-Guerrero Comparison with Prior Work Deblurring Error vs. Depth Depth Diffusion Coding Diffusion coding significantly outper as long as ms prior work Diffusion Coding Experiments Fabricated Diffuser Cannon 50mm EF lens Cannon 450D Sensor Experimental Setup BM3D Deblurring Algorithm [Dabov et al. ‘08]

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Examples Conventional Camera f-number = 1.8, exposure time = 16ms Conventional Camera f-number = 18 , exposure time = 16ms

Diffusion Coding Captured f-number = 1.8, exposure time = 16ms Diffusion Coding Deblurred f-number = 1.8, exposure time = 16ms Conventional Camera f-number = 1.8 exposure time = 10ms

Conclusions Diffusion Coding Theory Lens Sensor Diffuser

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