On the Relationship Between Dual Photography and Classical Ghost Imaging

Classical ghost imaging has received considerable attention in recent years because of its remarkable ability to image a scene without direct observation by a light-detecting imaging device. In this article, we show that this imaging process is actually a realization of a paradigm known as dual photography, which has been shown to produce full-color dual (ghost) images of 3D objects with complex materials without using a traditional imaging device. Specifically, we demonstrate mathematically that the cross-correlation based methods used to recover ghost images are equivalent to the light transport measurement process of dual photography. Because of this, we are able to provide a new explanation for ghost imaging using only classical optics by leveraging the principle of reciprocity in classical electromagnetics. This observation also shows how to leverage previous work on light transport acquisition and dual photography to improve ghost imaging systems in the future.

[1]  R. Boyd,et al.  "Two-Photon" coincidence imaging with a classical source. , 2002, Physical review letters.

[2]  M C Teich,et al.  Role of entanglement in two-photon imaging. , 2001, Physical review letters.

[3]  Yangjian Cai,et al.  Ghost imaging with incoherent and partially coherent light radiation. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Pieter Peers,et al.  Relighting with 4D incident light fields , 2003, ACM Trans. Graph..

[5]  Pat Hanrahan,et al.  All-frequency shadows using non-linear wavelet lighting approximation , 2003, ACM Trans. Graph..

[6]  Matthew O'Toole,et al.  Optical computing for fast light transport analysis , 2010, ACM Trans. Graph..

[7]  Daniel G. Aliaga,et al.  Ieee Transactions on Pattern Analysis and Machine Intelligence 1 a Self-calibrating Method for Photogeometric Acquisition of 3d Objects , 2022 .

[8]  Mark A Neifeld,et al.  Feature-specific structured imaging. , 2006, Applied optics.

[9]  Pieter Peers,et al.  Compressive light transport sensing , 2009, ACM Trans. Graph..

[10]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[11]  Jeffrey H. Shapiro,et al.  Computational ghost imaging , 2008, 2009 Conference on Lasers and Electro-Optics and 2009 Conference on Quantum electronics and Laser Science Conference.

[12]  S. Frick,et al.  Compressed Sensing , 2014, Computer Vision, A Reference Guide.

[13]  A. Gatti,et al.  Ghost imaging with thermal light: comparing entanglement and classical correlation. , 2003, Physical review letters.

[14]  J. Shapiro,et al.  Normalized ghost imaging , 2012, 1212.5041.

[15]  O. Katz,et al.  Compressive ghost imaging , 2009, 0905.0321.

[16]  Jeffrey H. Shapiro,et al.  Unified theory of ghost imaging with Gaussian-state light , 2007, 0712.3554.

[17]  Marc Levoy,et al.  Symmetric photography: exploiting data-sparseness in reflectance fields , 2006, EGSR '06.

[18]  De-Zhong Cao,et al.  Subwavelength coincidence interference with classical thermal light , 2004 .

[19]  Soheil Darabi,et al.  Compressive Dual Photography , 2009, Comput. Graph. Forum.

[20]  Zhouchen Lin,et al.  Kernel Nyström method for light transport , 2009, ACM Trans. Graph..

[21]  Mark R. Freeman,et al.  3D Computational Imaging with Single-Pixel Detectors , 2013 .

[22]  O. Katz,et al.  Ghost imaging with a single detector , 2008, 0812.2633.

[23]  A. Gatti,et al.  Correlated imaging, quantum and classical , 2003, quant-ph/0307187.

[24]  Matthew O'Toole,et al.  Primal-dual coding to probe light transport , 2012, ACM Trans. Graph..

[25]  Shih,et al.  Optical imaging by means of two-photon quantum entanglement. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[26]  A. Gatti,et al.  Differential ghost imaging. , 2010, Physical review letters.

[27]  Shree K. Nayar,et al.  A theory of multiplexed illumination , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

[28]  Paul E. Debevec,et al.  Acquiring the reflectance field of a human face , 2000, SIGGRAPH.

[29]  Ting Sun,et al.  Single-pixel imaging via compressive sampling , 2008, IEEE Signal Process. Mag..

[30]  Steve Marschner,et al.  Dual photography , 2005, ACM Trans. Graph..

[31]  A. Gatti,et al.  High-resolution ghost image and ghost diffraction experiments with thermal light. , 2005, Physical review letters.

[32]  Yanhua Shih,et al.  Ghost-imaging experiment by measuring reflected photons , 2008 .

[33]  Manfred von Ardenne,et al.  Das Elektronen-Rastermikroskop , 1938 .