Evaluation criterion of thermal light ghost imaging based on the receiver operating characteristic analysis.

The performances of different thermal ghost imaging (GI) algorithms are compared in an experiment of computational GI using a digital micromirror device. Here we present a rather different evaluation criterion named receiver operating characteristic (ROC) analysis that serves as the performance of merit for the quantitative comparison. A ROC curve is created by plotting the true positive rate against the false positive rate at various threshold settings. Both theoretical analysis and experimental results demonstrate that the ROC curve and the area under the curve are better and more intuitive indicators of the performance of the GI, compared with conventional evaluation methods. Additionally, for examining gray-scale objects, the calculation of the volume under the ROC surface is analyzed and serves as a performance metric. Our scheme should attract general interest and open exciting prospects for ROC analysis in thermal GI.

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

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

[3]  Jeffrey H. Shapiro,et al.  Response to “The physics of ghost imaging—nonlocal interference or local intensity fluctuation correlation?” , 2012, Quantum Inf. Process..

[4]  Yanhua Shih The physics of ghost imaging: nonlocal interference or local intensity fluctuation correlation? , 2012, Quantum Inf. Process..

[5]  Tom Fawcett,et al.  ROC Graphs: Notes and Practical Considerations for Researchers , 2007 .

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

[7]  Shih,et al.  Observation of two-photon "ghost" interference and diffraction. , 1995, Physical review letters.

[8]  Guihua Zeng,et al.  Detailed quality analysis of ideal high-order thermal ghost imaging. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

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

[10]  D. Mossman Three-way ROCs , 1999, Medical decision making : an international journal of the Society for Medical Decision Making.

[11]  Chengbo Li An efficient algorithm for total variation regularization with applications to the single pixel camera and compressive sensing , 2010 .

[12]  Christopher D. Brown,et al.  Receiver operating characteristics curves and related decision measures: A tutorial , 2006 .

[13]  Wenlin Gong,et al.  Ghost imaging lidar via sparsity constraints , 2012, 1203.3835.

[14]  Robert W Boyd,et al.  Optimization of thermal ghost imaging: high-order correlations vs. background subtraction. , 2010, Optics express.

[15]  Ling-An Wu,et al.  Adaptive compressive ghost imaging based on wavelet trees and sparse representation. , 2014, Optics express.

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

[17]  N. Obuchowski Receiver operating characteristic curves and their use in radiology. , 2003, Radiology.

[18]  Ling-An Wu,et al.  A double-threshold technique for fast time-correspondence imaging , 2013, 1311.3012.

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

[20]  Giuliano Scarcelli,et al.  Can two-photon correlation of chaotic light be considered as correlation of intensity fluctuations? , 2006, Physical review letters.

[21]  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.

[22]  Wenlin Gong,et al.  A method to improve the visibility of ghost images obtained by thermal light , 2010 .

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

[24]  Ling-An Wu,et al.  Time-correspondence differential ghost imaging , 2013, 1301.4390.

[25]  Ling-An Wu,et al.  Correlated two-photon imaging with true thermal light. , 2005, Optics letters.

[26]  David J. Hand,et al.  A Simple Generalisation of the Area Under the ROC Curve for Multiple Class Classification Problems , 2001, Machine Learning.

[27]  Lucila Ohno-Machado,et al.  The use of receiver operating characteristic curves in biomedical informatics , 2005, J. Biomed. Informatics.

[28]  Tom Fawcett,et al.  An introduction to ROC analysis , 2006, Pattern Recognit. Lett..

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

[30]  Ling-An Wu,et al.  Nonlocal Imaging by Conditional Averaging of Random Reference Measurements , 2012, 1303.5629.

[31]  Shen Li,et al.  Protocol based on compressed sensing for high-speed authentication and cryptographic key distribution over a multiparty optical network. , 2013, Applied optics.

[32]  D. L. Donoho,et al.  Compressed sensing , 2006, IEEE Trans. Inf. Theory.

[33]  Jeffrey H. Shapiro,et al.  The physics of ghost imaging , 2012, Quantum Information Processing.

[34]  Ling‐An Wu,et al.  Two‐Photon Imaging with Entangled and Thermal Light , 2011 .

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

[36]  Shen Li,et al.  High-speed secure key distribution over an optical network based on computational correlation imaging. , 2013, Optics letters.

[37]  C. Fabre,et al.  Comment on "Can Two-Photon Correlation of Chaotic Light Be Considered as Correlation of Intensity Fluctuations?". , 2007, Physical review letters.

[38]  Ling-An Wu,et al.  Lensless ghost imaging with sunlight. , 2014, Optics letters.

[39]  J. Hanley,et al.  The meaning and use of the area under a receiver operating characteristic (ROC) curve. , 1982, Radiology.