{"id":14,"date":"2016-04-12T22:51:33","date_gmt":"2016-04-12T22:51:33","guid":{"rendered":"https:\/\/live-optics-wp.pantheonsite.io\/rfrieden\/?page_id=14"},"modified":"2024-08-09T15:59:55","modified_gmt":"2024-08-09T15:59:55","slug":"publications","status":"publish","type":"page","link":"https:\/\/wp.optics.arizona.edu\/rfrieden\/publications\/","title":{"rendered":"Publications &#038; Book Chapters"},"content":{"rendered":"<h2>Publications<\/h2>\n<h3>1964<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cPolynomial expansion in classical aberrations and spatial frequency for the wave-aberrated optical transfer function of an axially asymmetric lens system,\u201d Optica Acta 11, 33-41 (1964).<\/li>\n<li>B. R. Frieden, \u201cMicroscopic observation of film cross sections having steep contours,\u201d Appl. Opt. 3, 395-398 (1964).<\/li>\n<\/ul>\n<h3>1965<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cLossless conversion of a plane laser wave to a plane wave of uniform irradiance,\u201d Appl. Opt. 4, 1400-1403 (1965).<\/li>\n<li>B. R. Frieden, \u201cUse of a scanning slit in determination of radial irradiance distribution\u201d (letter), J. Opt. Soc. Am. 55, 1696-1697 (1965).<\/li>\n<\/ul>\n<h3>1966<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cImage evaluation by use of the sampling theorem,\u201d J. Opt. Soc. Am. 56, 1355-1362 (1966).<\/li>\n<li>B. R. Frieden, \u201cOptical transfer of the three dimensional object\u201d (abstr.), J. Opt. Soc. Am. 56, 1420-1421 (1966); Optical Sciences Center Tech. Rept. 13, 35 pp., Jan. 1967; (paper) J. Opt. Soc. Am. 56, 56-66 (1967).<\/li>\n<li>B. R. Frieden, \u201cLongitudinal image formation,\u201d J. Opt. Soc. Am. 56, 1495-1501 (1966).<\/li>\n<\/ul>\n<h3>1967<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cBand-unlimited reconstruction of optical objects and spectral sources,\u201d Optical Sciences Center Tech. Rept. 18, 25 pp., June 16, 1967; J. Opt. Soc. Am. 57, 1013-1019 (1967).<\/li>\n<\/ul>\n<h3>1968<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cOptimum, non-linear processing of noisy images,\u201d Optical Sciences Center Tech. Rept. 23, 40 pp., Mar. 6, 1968; J. Opt. Soc. Am. 58, 1272-1275 (1968).<\/li>\n<li>B. R. Frieden, \u201cHow well can a lens system transmit information?\u201d Optical Sciences Center Tech. Rept. 24, 38 pp., Mar. 29, 1968; \u201cHow well can a lens transmit entropy?\u201d J. Opt. Soc. Am. 58, 1105-1112 (1968).<\/li>\n<\/ul>\n<h3>1969<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cMaximum attainable MTF for rotationally symmetric lens systems,\u201d Optical Sciences Center Tech. Rept. 29, 15 pp., Sept. 10, 1968; J. Opt. Soc. Am. 59, 402-406 (1969).<\/li>\n<li>B. R. Frieden, \u201cOn arbitrarily perfect imagery with a finite aperture,\u201d Optical Sciences Center Tech. Rept. 34, 34 pp., Jan. 1969; Optica Acta 16, 795-807 (1969).<\/li>\n<\/ul>\n<h3>1970<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cInformation and the restorability of images\u201d (letter), J. Opt. Soc. Am. 60, 575-576 (1970).<\/li>\n<li>B. R. Frieden, \u201cThe extrapolating pupil, image synthesis, and some thought applications,\u201d Appl. Oct. 11, 2489-2496 (1970).<\/li>\n<\/ul>\n<h3>1972<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cRestoring with maximum likelihood and maximum entropy,\u201d J. Opt. Soc. Am. 62, 511-518 (1972).<\/li>\n<li>B. R. Frieden and J. J. Burke, \u201cRestoring with maximum entropy. II. Superresolution of photographs of diffraction-blurred impulses,\u201d J. Opt. Soc. Am. 62, 1202-1211 (1972).<\/li>\n<\/ul>\n<h3>1973<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cStatistical estimates of bounded optical scenes by the method of \u2018prior probabilities\u2019\u201d (correspondence), IEEE Trans. Information Theory IT-19, 118-119 (1973).<\/li>\n<li>B. R. Frieden, \u201cStatistical estimates of bounded optical scenes by the method of \u2018prior probabilities\u2019\u201d (correspondence), IEEE Trans. Information Theory IT-19, 118-119 (1973).<\/li>\n<\/ul>\n<h3>1974<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cImage restoration by discrete convolution of minimal length,\u201d J. Opt. Soc. Am. 64, 682-686 (1974).<\/li>\n<li>M. Bendinelli, A. Constortini, L. Ronchi, and B. R. Frieden, \u201cDegrees of freedom, and eigenfunctions, for the noisy image,\u201d J. Opt. Soc. Am. 64, 1498-1502 (1974).<\/li>\n<li>B. R. Frieden, \u201cImage restoration by discrete convolution of minimal length,\u201d J. Opt. Soc. Am. 64, 682-686 (1974).<\/li>\n<li>M. Bendinelli, A. Consortini, L. Ronchi, and B. R. Frieden, \u201cDegrees of freedom, and eigenfunctions, for the noisy image,\u201d J. Opt. Soc. Am. 64, 1498-1502 (1974).<\/li>\n<\/ul>\n<h3>1976<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cA new restoring algorithm for the preferential enhancement of edge gradients\u201d (letter), J. Opt. Soc. Am. 66, 280-283 (1976).<\/li>\n<li>W. Swindell and B. R. Frieden, \u201cRestored pictures of Ganymede,\u201d Science 191, 1237-1241 (1976).<\/li>\n<li>B. R. Frieden, \u201cEstimation \u2013 a new role for maximum entropy,\u201d invited paper SPSE International Conference on Image Analysis and Evaluation, Toronto, Canada, July 19-23, 1976.<\/li>\n<li>A. Consortini and B. R. Frieden, \u201cQuantum-mechanical solution for the simple harmonic oscillator in a box,\u201d Il Nuovo Cimento 35B, 153-164 (1976).<\/li>\n<li>B. R. Frieden, \u201cProblems associated with the maximum entropy image restoration technique,\u201d invited paper, Symposium on Current Mathematical Problems in Image Science, Naval Postgraduate School, Monterey, California, Nov. 1976.<\/li>\n<li>B. R. Frieden, \u201cImage analysis and evaluation,\u201d SPSE International Conference, Toronto, Canada, July 19-23, 1976 (meeting report); Appl. Opt. 15, 2599-2601 (1976).<\/li>\n<li>B. R. Frieden, \u201cUncertainty product for a subensemble of particles,\u201d Int. J. Theoret. Physics 15, 389-391 (1976).<\/li>\n<\/ul>\n<h3>1978<\/h3>\n<ul>\n<li>B. R. Frieden and D. C. Wells, \u201cRestoring with maximum entropy, III: Poisson sources and backgrounds,\u201d J. Opt. Soc. Am. 68, 93-103, Jan. 1978.<\/li>\n<\/ul>\n<h3>1980<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cStatistical models for the image restoration problem,\u201d Computer Graphics and Image Processing 12, 40-59 (1980).<\/li>\n<li>B. R. Frieden, \u201cImage restoration using a norm of maximum information,\u201d Opt. Eng. 19, 290-296 (1980).<\/li>\n<\/ul>\n<h3>1981<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cMaximum-information data processing: application to optical signals,\u201d J. Opt. Soc. Am. 71, 294-303 (1981).<\/li>\n<\/ul>\n<h3>1983<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cUnified theory for estimating frequency-of-occurrence laws and optical objects,\u201d J. Opt. Soc. Am. 73, 927-938 (1983).<\/li>\n<\/ul>\n<h3>1984<\/h3>\n<ul>\n<li>W. T. Cathey, B. R. Frieden, W. T. Rhodes, and C. K. Rushforth, \u201cImage gathering and processing for enhanced resolution,\u201d J. Opt. Soc. Am. A 1, 241-250 (1984).<\/li>\n<li>B. R. Frieden and C. K. Zoltani, \u201cMaximum bounded entropy: a new method of tomographic reconstruction,\u201d Topical meeting on Industrial Applications of Computed Tomography and NMR Imaging, Technical Digest, TuA41-TuA44 (1984).<\/li>\n<\/ul>\n<h3>1985<\/h3>\n<ul>\n<li>B. R. Frieden and C. K. Zoltani, \u201cMaximum bounded entropy: application to tomographic reconstruction,\u201d Appl. Opt. 24, 201-207 (1985).<\/li>\n<li>B. R. Frieden and C. K. Zoltani, \u201cMonte Carlo restoration of binary objects,\u201d Acta Polytechnica Scandinavica, Appl. Physics Series 149, Proceedings of Image Science 85, Volume I, A. T. Friberg and Pirkko Oittinen, eds., Helsinki U. of Technology, Helsinki, 1985, pp. 115-118.<\/li>\n<li>B. R. Frieden, \u201cStatistical techniques in image science,\u201d in Addendum to preceding, pp. 19-30.<\/li>\n<li>B. R. Frieden, \u201cDice, entropy, and likelihood,\u201d Proc. IEEE 73, 1764-1770 (1985).<\/li>\n<\/ul>\n<h3>1986<\/h3>\n<ul>\n<li>B. R. Frieden and C. K. Zoltani, \u201cMonte Carlo restoration of binary objects,\u201d J. Opt. Soc. Am. A 3, 731-734 (1986).<\/li>\n<li>B. R. Frieden, \u201cA probability law for the fundamental constants,\u201d Found. Phys. 16, 883-906 (1986).<\/li>\n<li>B. R. Frieden, \u201cAccurate determination of length in a routinely obtained picture,\u201d Opt. Acta 33, 1453-1461 (1986).<\/li>\n<li>B. R. Frieden and Daniel T. Gillespie, \u201cAnother proof of the random variable transformation theorem,\u201d Am. J. Phys. 54, 1149-1150 (1986).<\/li>\n<\/ul>\n<h3>1987<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cMaximum-probable restoration of photon-limited images,\u201d Appl. Opt. 26, 1755-1764 (1987).<\/li>\n<li>M. Hayworth, B. R. Frieden, and H. Roehrig, \u201cIterative MW enhancement of cardiac angiograms,\u201d Proc. SPIE, Medical Imaging, R. Schneider and S. Dwyer, eds. 767, 471-478 (1987).<\/li>\n<li>B. R. Frieden, \u201cPossibility image transform and logical convolution,\u201d J. Opt. Soc. Am. A 4, 232-235 (1987).<\/li>\n<li>B. R. Frieden, \u201cOn the 3Ms of image enhancement, MAP, ME, and MW,\u201d in Interferometric Imaging in Astronomy (First Joint ESO-NOAO Workshop, Oracle, Arizona, 1987), pp. 191-196.<\/li>\n<li>B. R. Frieden, \u201cSpeculations on unknown images, spectral sources, and physical constants,\u201d Opt. News 13, 23-30 (1987).<\/li>\n<li>B. R. Frieden, H. G. Aumann, \u201cImage reconstruction from multiple 1-D scans using filtered localized projection,\u201d Appl. Opt. 26, 3615-3621 (1987).<\/li>\n<li>B. R. Frieden, \u201cMaximum Cramer-Rao bound. Applications to: prior probabilities estimation, image restoration, and the generation of quantum mechanics,\u201d Proc. SPIE, Applications of Digital Image Processing X, A. Tescher, ed., 829, 2-14 (1987).<\/li>\n<\/ul>\n<h3>1988<\/h3>\n<ul>\n<li>Y. Hu and B. R. Frieden, \u201cRestoration of longitudinal images,\u201d Appl. Opt. 27, 414-418 (1988).<\/li>\n<li>B. R. Frieden, \u201cApplications to optics and wave mechanics of the criterion of maximum Cramer-Rao bound,\u201d J. Mod. Opt. 35, 1297-1316 (1988).<\/li>\n<li>B. R. Frieden, \u201cA comparison of the maximum entropy (ME), maximum a posteriori (MAP), and median window (MW) restoring algorithms,\u201d Proc. Of the 6th Pfefferkorn Conference at Niagara Falls, Canada, 1987 (publ. 1988).<\/li>\n<\/ul>\n<h3>1989<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cFisher information as the basis for diffraction optics,\u201d Opt. Lett. 14, 199-201 (1989).<\/li>\n<li>B. R. Frieden and C. K. Zoltani, \u201cFast tracking algorithm for multi-frame particle-image velocimetry data,\u201d Appl. Opt. 28, 652-655 (1989).<\/li>\n<li>B. R. Frieden, \u201cImage recovery by minimum discrimination from a template,\u201d Appl. Opt. 28, 1235-1243 (1989).<\/li>\n<li>B. R. Frieden, \u201cStochastic approaches to inversion problems in optics,\u201d J. Appl. Stat. 16, 243-266 (1989).<\/li>\n<li>B. R. Frieden, \u201cFisher information as the basis for the Schr\u00f6dinger wave equation,\u201d Am. J. Physics 57, 1004-1008 (1989).<\/li>\n<li>B. R. Frieden, \u201cPseudolinear phase retrieval,\u201d Opt. Commun. 73, 342-346 (1989).<\/li>\n<\/ul>\n<h3>1990<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cFisher information, disorder, and the equilibrium distributions of physics,\u201d Phys. Rev. A 41, 4265-4276 (1990).<\/li>\n<li>S. Wang and B. R. Frieden, \u201cEffects of third-order spherical aberration on the 3-D incoherent optical transfer function,\u201d Appl. Opt. 29, 2424-2432 (1990).<\/li>\n<li>H. A. Ferwerda and B. R. Frieden, \u201cQuantitative phase retrieval in the phase-contrast microscope,\u201d Proc. SPIE Digital Image Synthesis and Inverse Optics, A. Gmitro, ed. 1351 (1990).<\/li>\n<\/ul>\n<h3>1991<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cFisher information and the complex nature of the Schr\u00f6dinger wave equation,\u201d Found. Physics 21, 757-771 (1991).<\/li>\n<li>B. R. Frieden, \u201cSome analytical and statistical properties of Fisher information,\u201d Proc. SPIE, Stochastic and Neural Methods in Signal Processing, S. Chen, ed., 1569, 311-316 (1991).<\/li>\n<\/ul>\n<h3>1992<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cFisher information as the basis for Maxwell\u2019s equations,\u201d Physica A 180, 359-385 (1992).<\/li>\n<li>B. R. Frieden and C. Oh, \u201cMultiple-filter approach to phase retrieval from modulus data,\u201d Appl. Opt. 31, 1103-1108 (1992).<\/li>\n<li>B. R. Frieden and C. Oh, \u201cIntegral logarithmic transform: theory and applications,\u201d Appl. Opt. 31, 1138-1145 (1992).<\/li>\n<li>B. R. Frieden, \u201cFisher information and uncertainty complementarity,\u201d Phys. Lett. A 169, 123-130 (1992).<\/li>\n<\/ul>\n<h3>1993<\/h3>\n<ul>\n<li>B. R. Frieden and C. Oh, \u201cTurbulent image reconstruction from a superposition model,\u201d Opt. Comm. 98, 241-244 (1993).<\/li>\n<li>B. R. Frieden, \u201cEstimation of distribution laws, and physical laws, by a principle of extremized physical information,\u201d Physica A 198, 262-338 (1993).<\/li>\n<li>B. R. Frieden and A. T. Bajkova, \u201cEntropic reconstruction of complex images,\u201d Opt. Comm. 102, 515-522 (1993).<\/li>\n<li>R. P. Bocker and B. R. Frieden, \u201cSolution of the Maxwell field equations in vacuum for arbitrary charge and current distributions using the methods of matrix algebra,\u201d IEEE Trans. Educ. 36, 350-356 (1993).<\/li>\n<\/ul>\n<h3>1994<\/h3>\n<ul>\n<li>B. R. Frieden and A. T. Bajkova, \u201cBayesian cross-entropy reconstruction of complex images,\u201d Appl. Opt. 33, 219-226 (1994).<\/li>\n<li>B. R. Frieden and R. J. Hughes, \u201cSpectral 1\/f noise derived from extremized physical information,\u201d Phys. Rev. E 49, 2644-2649 (1994).<\/li>\n<li>B. Nikolov and B. R. Frieden, \u201cLimitation on entropy increase imposed by Fisher information,\u201d Phys. Rev. E 49, 4815-4820 (1994).<\/li>\n<li>B. R. Frieden, \u201cTurbulent image reconstruction using object power spectrum information,\u201d Opt. Comm. 109, 227-230 (1994).<\/li>\n<\/ul>\n<h3>1995<\/h3>\n<ul>\n<li>B. R. Frieden and A. T. Bajkova, \u201cReconstruction of complex signals using minimum Renyi information,\u201d Appl. Opt. 34, 4086-4093 (1995).<\/li>\n<li>B. R. Frieden, Proc. SPIE, Optical and Photonic Applications of Electroactive and Conducting Polymers, S. Yang, ed., 2528 (1995).<\/li>\n<li>B. R. Frieden and B. H. Soffer, \u201cLagrangians of physics and the game of Fisher-information transfer,\u201d Phys. Rev. E 52, 2274-2286 (1995).<\/li>\n<li>Y. Wang and B. R. Frieden, \u201cMinimum entropy-neural network approach to turbulent-image reconstruction,\u201d Appl. Opt. 34, 5938-5944 (1995).<\/li>\n<\/ul>\n<h3>1996<\/h3>\n<ul>\n<li>B. R. Frieden and W. J. Cocke, \u201cFoundation for Fisher information-based derivations of physical laws,\u201d Phys. Rev. E 54, 257-260 (1996).<\/li>\n<\/ul>\n<h3>1997<\/h3>\n<ul>\n<li>B. R. Frieden, \u201cFisher information as a measure of time,\u201d Astrophysics and Space Science 244, 387-391 (1996); reprinted in Modern Mathematical Models of Time and their Applications to Physics and Astronomy (Kluwer, Dordrecht, 1997) 387-391.<\/li>\n<li>W. J. Cocke and B. R. Frieden, \u201cInformation and gravitation,\u201d Founds. Phys. 243, 1397-1412 (1997).<\/li>\n<li>B. R. Frieden and David J. Graser, \u201cClosed-form maximum entropy image restoration,\u201d Opt. Comm. 146, 79-84 (1998); also in Proc. SPIE 3164, Applications of Digital Image Processing XX, A. Tescher, ed., 140-148 (1997).<\/li>\n<\/ul>\n<h3>1998<\/h3>\n<ul>\n<li>B. R. Frieden and H. C. Rosu, \u201cFisher\u2019s arrow of time in quantum cosmology,\u201d Mod. Phys. Lett. A 13, 39 (1998).<\/li>\n<li>B. R. Frieden, \u201cAn exact, linear solution to the problem of imaging through turbulence,\u201d Opt. Comm. 150, 15-21 (1998).<\/li>\n<\/ul>\n<h3>1999<\/h3>\n<ul>\n<li>S. Barraza and B. R. Frieden, &#8220;Regularization of the image division approach to blind deconvolution&#8221;, Appl. Opt. 38, 2232-2239 (1999).<\/li>\n<li>B. R. Frieden, A. Plastino, A.R. Plastino and B.H. Soffer, &#8220;Fisher-based thermodynamics: Its Legendre transform and concavity properties&#8221;, Phys. Rev. E 60, 48-53 (1999).<\/li>\n<li>B. R. Frieden, &#8220;F-Information, a unitless variant of Fisher Information&#8221;, Founds Phys. 29, 1521-1541 (1999).<\/li>\n<\/ul>\n<h3>2000<\/h3>\n<ul>\n<li>R. Frieden and B. H. Soffer, &#8220;A critical comparison of three information-based approaches to physics&#8221;, Found. Phys. Lett. 13, 89-96 (2000).<\/li>\n<li>R. Frieden and A. Plastino, &#8220;Composite fermion particles and Fisher Information&#8221;, Phys. Lett. A 272, 326-332 (2000).<\/li>\n<\/ul>\n<h3>2001<\/h3>\n<ul>\n<li>B. R. Frieden and A. Plastino, &#8220;Higgs mass generation from the standpoint of information&#8221;, Phys. Lett. A. 278, 299-306 (2001).<\/li>\n<li>B. R. Frieden, A. Plastino and B. H. Soffer, &#8220;Population genetics from an information perspective&#8221;, J. Theor. Biol. 208, 49-64 (2001).<\/li>\n<li>B. R. Frieden, \u201cPhysics from Fisher Information\u201d, Mathematics Today 37, 115-119 (2001)<\/li>\n<li>B. R. Frieden and A. Plastino, \u201cAlternative classical trajectories compatible with quantum mechanics\u201d, Phys. Lett. A 287, 325-330 (2001).<\/li>\n<\/ul>\n<h3>2002<\/h3>\n<ul>\n<li>R.A. Gatenby and B.R. Frieden, \u201cApplication of information theory and extreme physical information to carcinogenesis,\u201d Cancer Research 62, 3675-3684 (2002).<\/li>\n<li>B.R. Frieden, \u201cRelations between parameters of a decoherent system and Fisher information\u201d, Phys. Rev. A 66, 022107-1 \u2013 022107-6 (2002).<\/li>\n<li>B.R. Frieden, A. Plastino, A.R.Plastino and B.H. Soffer, \u201cA Schroedinger link between non-equilibrium thermodynamics and Fisher information,\u201d Phys. Rev. E 66, 046128-1 \u2013 046128-8 (2002).<\/li>\n<li>B.R. Frieden, A. Plastino, A.R. Plastino and B.H. Soffer, \u201cNon-equilibrium thermodynamics and Fisher information: an illustrative example,\u201d Phys. Lett. A 304, 73-78 (2002).<\/li>\n<li>B.R. Frieden and B.H. Soffer, \u201cBlack holes and optimum coding,\u201d Phys. Lett. A 304, 4 Nov., 1-7 (2002).<\/li>\n<\/ul>\n<h3>2003<\/h3>\n<ul>\n<li>S.P. Flego, B.R. Frieden et al., &#8220;Nonequilibrium thermodynamics and Fisher information: sound wave propagation in a dilute gas,&#8221; Phys. Rev. E 68, 016105 (2003).<\/li>\n<\/ul>\n<h3>2004<\/h3>\n<ul>\n<li>R.J. Hawkins and B.R. Frieden, &#8220;Fisher information and equilibrium distributions in econophysics,&#8221; Phys. Lett. A 322, 126 (2004)<\/li>\n<li>B.R. Frieden, \u201cAberration reduction by multiple relays of an incoherent image\u201d, J. Opt. Soc. Amer. A 21, 1834-1840 (2004)<\/li>\n<\/ul>\n<h3>2005<\/h3>\n<ul>\n<li>R.A. Gatenby and B.R. Frieden, \u201cThe role of non-genomic information in maintaining thermodynamic stability in living systems\u201d, Math. Biosciences and Eng. 2, 43 51 (2005)<\/li>\n<li>M. Yolles and B.R. Frieden, &#8220;A Metahistorical information theory of social change: the theory,&#8221; J. Organizational Transf. &amp; Social Change 2, 29-62; &#8220;an application,&#8221; 63-77 (2005).<\/li>\n<li>R.J. Hawkins, B.R. Frieden and J.L. D&#8217;Anna, &#8220;Ab initio yield curve dynamics,&#8221; Phys.Lett A 344, 317-323 (2005).<\/li>\n<li>B.R. Frieden and R.A. Gatenby, &#8220;Power laws of complex systems from extreme physical information,&#8221; Phys. Rev. E 72, 036101, 1-10 (2005).<\/li>\n<\/ul>\n<h3>2006<\/h3>\n<ul>\n<li>B.R. Frieden and B.H. Soffer, &#8220;Information-theoretic significance of the Wigner Distribution,&#8221; Phys. Rev. A 74, 052108, 1-8 (2006).<\/li>\n<\/ul>\n<h3>2007<\/h3>\n<ul>\n<li>B.R. Frieden, &#8220;Information-based uncertainty for a photon,&#8221; Opt. Comm. 271, 71-72 (2007).<\/li>\n<\/ul>\n<h3>2008<\/h3>\n<ul>\n<li>R.A. Gatenby and B.R. Frieden, \u201cInducing catastrophe in malignant growth,\u201d J. Math. Med. Biol. 25, 267-283 (2008)<\/li>\n<li>B.R. Frieden and R.A. Gatenby, \u201cConditions for correspondence between Hartree scattering and biological growth,\u201d Phys. Rev. E 78, 041902 (2008)<\/li>\n<\/ul>\n<h3>2009<\/h3>\n<ul>\n<li>B.R. Frieden and B.H. Soffer, \u201cDe Broglie\u2019s wave hypothesis from Fisher information,\u201d Physica A 388, 1315-1330 (2009)<\/li>\n<\/ul>\n<h3>2010<\/h3>\n<ul>\n<li>R.J. Hawkins, M. Aoki and B.R. Frieden, \u201cAsymmetric information and macroeconomic dynamics,\u201d Physica A 389, 3565-3571 (2010)<\/li>\n<li>B.R. Frieden and B.H. Soffer, \u201cWeighted Fisher informations, their derivation and use,\u201d Physics Letts. A 374, 3895-3898 (2010)<\/li>\n<li>R.A. Gatenby and B.R. Frieden, \u201cCoulomb Interactions between Cytoplasmic Electric Fields and Phosphorylated Messenger Proteins Optimize Information Flow in Cells,\u201d PLoS ONE 5(8): e12084. doi:10.1371\/journal.pone (2010)<\/li>\n<li>B.R. Frieden and R.J. Hawkins, \u201cQuantifying system order for full and partial coarse graining,\u201d Phys. Rev. E 82, 066117, 1-8 (2010)<\/li>\n<\/ul>\n<h3>2011<\/h3>\n<ul>\n<li>B.R. Frieden and R.A. Gatenby, \u201cOrder in a Multiply-Dimensioned System,\u201d Phys. Rev. E 84, 011128, 1-9 (2011)<\/li>\n<li>B.R. Frieden and R.A. Gatenby, \u201cInformation Dynamics in Living Systems: Prokaryotes, Eukaryotes, and Cancer,\u201d PLoS ONE 6(7): e22085. doi:10.1371\/journal.pone.0022085 (2011)<\/li>\n<li>R.A. Gatenby and B.R. Frieden, \u201cCell Development Pathways Follow from a Principle of Extreme Fisher Information,\u201d J. Physic Chem Biophysic 2011, 1:1 http:\/\/dx.doi.org\/10.4172\/2161-0398.1000102<\/li>\n<\/ul>\n<h3>2012<\/h3>\n<ul>\n<li>B.R. Frieden, A. Plastino and A.R. Plastino, \u201cEffect upon universal order of Hubble expansion,\u201d Physica A doi: 10.1016\/j.physa.2011.08.005 (2011); Physica A 391 410-413 (2012)<\/li>\n<li>B.R. Frieden, A. Plastino and A.R. Plastino, \u201cFisher order measure and Petri&#8217;s Universe model,\u201d Physica A 391 2300-2305 (2012)<\/li>\n<li>B.R. Frieden and M. Petri, \u201cMotion-dependent levels of order in a relativistic universe\u201d (PDF), Phys. Rev E 86, 032102, 1-5 (2012)<\/li>\n<\/ul>\n<h3>2013<\/h3>\n<ul>\n<li>B.R. Frieden and R.A. Gatenby (invited paper), \u201cCell development obeys maximum Fisher information,\u201d Frontiers in Bioscience E5, 1017-1032 (2013)<\/li>\n<li>B.R. Frieden and R.A. Gatenby, \u201cPrinciple of maximum Fisher information from Hardy\u2019s axioms applied to statistical systems,\u201d Phys. Rev. E 88, 042144 (2013) [6 pages]<\/li>\n<\/ul>\n<h3>2014<\/h3>\n<ul>\n<li>B.R. Frieden and R.A. Gatenby, \u201cDerivation of Principle of Extreme Physical Information,\u201d arXiv:1406.3615 [physics.data-an] 2014 [13 pages]<\/li>\n<li>B.R. Frieden and R.A. Gatenby, \u201cCancer Suppression by Compression,\u201d Bulletin of Mathematical Biology 10.1007\/s11538-014-0051-7 (2014)<\/li>\n<\/ul>\n<h3>2015<\/h3>\n<ul>\n<li>B.R. Frieden, \u201cEstimating a repeatable statistical law by requiring its stability during observation,\u201d Entropy 17, 7453-7467 (2015);doi:10.3390\/e17117453 (2015)<\/li>\n<\/ul>\n<h3>2016<\/h3>\n<ul>\n<li>R.A. Gatenby and B.R. Frieden \u201cInvestigating Information Dynamics in Living Systems through the Structure and Function of Enzymes,\u201d PLoS ONE 11(5): e0154867. doi:10.1371\/ journal. \u00a0pone.0154867 (2016)<\/li>\n<li>P. Zegers, B.R. Frieden, C. Alarcon, A. Fuentes, \u201cInformation theoretical measures for achieving robust learning machines,\u201d Entropy 18, 295-314 (2016); doi:10.3390\/e18080295 (2016)<\/li>\n<\/ul>\n<h3>2017<\/h3>\n<ul>\n<li>R.A. Gatenby and B.R. Frieden, <em>Nature<\/em>, &#8220;Cellular Information Dynamics through Transmembrane Flow of Ions,&#8221; Scientific Reports 7, 15075 (2017);\u00a0doi:10.1038\/s41598-017-15182-2<\/li>\n<\/ul>\n<h3>2019<\/h3>\n<ul>\n<li>B.R. Frieden and R.A. Gatenby, <em>Nature<\/em>, &#8220;Signal transmission through elements of the cytoskeleton form an optimized information network in eukaryotic cells,&#8221; Scientific Reports 9, 6110 (2019), doi:10:1038\/s41598-019-42343-2<\/li>\n<li>B.R. Frieden and R.A. Gatenby, \u201cSpontaneous Formation of Universes from Vacuum via Information-Induced Holograms,\u201d arXiv:1909.11435 [physics.gen-ph] 24 pages, 2 figures, posted Sept. 10, 2019.<\/li>\n<\/ul>\n<h3>2020<\/h3>\n<ul>\n<li>B.R. Frieden, p. 126 &amp; 128 in Powers of Two: The Information Universe \u2013 Information as the Building Block of Everything, ed. E. Valentijn\u00a0 (Springer, N.Y., 2020)<\/li>\n<\/ul>\n<h2>Book Chapters<\/h2>\n<ul>\n<li>B. R. Frieden, \u201cEvaluation, design, and extrapolating methods for optical signals, based on use of the prolate functions,\u201d Chapter VIII in Progress in Optics, Vol. IV, E. Wolf, ed. (North-Holland Publishing Co., Amsterdam, 1971), pp. 311-407.<\/li>\n<li>B. R. Frieden, \u201cImage enhancement and restoration,\u201d Chapter 5 in Picture Processing and Digital Filtering, Vol. 6 of Topics in Applied Physics, T. S. Huang, ed. (Springer-Verlag, New York, 1975), pp. 177-248.<\/li>\n<li>B. R. Frieden, \u201cComputational methods of probability and statistics,\u201d in The Computer in Optical Research, B. R. Frieden, ed., Vol. 41 of Topics in Applied Physics (Springer \u2013Verlag, 1980).<\/li>\n<li>B. R. Frieden, \u201cStatistical models for the image restoration problem,\u201d in Image Modeling, A. Rosenfeld, ed. (Academic Press, New York, 1981), pp. 133-152.<\/li>\n<li>B. R. Frieden, \u201cSome statistical properties of the median window,\u201d in Transformations of Optical Signal Processing, W. T. Rhodes, J. R. Fienup, and B. E. A. Saleh, eds. (SPIE, Bellingham, Washington, 1982).<\/li>\n<li>B. R. Frieden, \u201cMaximum-likelihood restoration of spectra,\u201d in Deconvolution with Applications in Spectroscopy, P. Jansson, ed. (Academic Press, New York, 1984).<\/li>\n<li>B. R. Frieden, \u201cEstimating occurrence laws with maximum probability, and the transition to entropic estimators,\u201d in Maximum-Entropy and Bayesian Methods in Inverse Problems, C. R. Smith and W. T. Grandy, eds. (D. Reidel Publ. Co., 1985), pp. 133-169.<\/li>\n<li>B. R. Frieden, \u201cStochastic approaches to inversion problems in optics,\u201d in Statistical Methods in Image Analysis, K. V. Mardia, ed. (Special Issue: J. Applied Statist., Vol. 16, 1989), pp. 243-266.<\/li>\n<li>B. R. Frieden, \u201cPhysical information and the derivation of electron physics,\u201d in Adv. In Imaging and Electron Physics, Vol. 90, P. W. Hawkes, ed. (Academic Press, New York, 1995), pp. 123-204.<\/li>\n<li>B.R. Frieden, &#8220;Probability and Statistics,&#8221; in Optical Engineer&#8217;s Desk Reference, ed. W.L. Wolfe (OSA, Washington, D.C., 2003).<\/li>\n<li>B.R. Frieden, \u201cInformation Theory,\u201d in Encyclopedia of Nonlinear Science, A.Scott, ed. (Routledge, N.Y., 2005), pp. 444-446.<\/li>\n<li>B.R. Frieden, \u201cExtreme physical information (EPI) as a principle of universal stability,\u201d Chap. 15 in Information Theory and Statistical Learning, F. Emmert-Streib and M. Dehmer, eds. (Springer-Verlag, N.Y., 2008)<\/li>\n<li>B.R. Frieden, &#8220;Extreme Physical Information as a Principle of Universal Stability&#8221; Pages 355-384 in Information Theory and Statistical Learning, F. Emmert-Streib and M. Dehmer, eds. (Springer, Boston, MA., 2009)<\/li>\n<li>B.R. Frieden and R.A. Gatenby, \u201cThe role of information and order in the origin of life,\u201d in Genesis \u2013 In the Beginning: Precursors of Life, Chemical Models and Early Biological Evolution, J. Seckbach, ed. (Springer, N.Y., 2012)<\/li>\n<li>B.R. Frieden, \u201cPrinciple of minimum loss of Fisher information..,\u201d Chap. 6 in Vol. 45, Handbook of Statistics: Information Geometry, (North-Holland, Elsevier, Amsterdam, Netherlands, 2021)<\/li>\n<li><strong>B.R. Frieden, \u201cBeginnings: Formation and growth of natural phenomena out of Fisher information,\u201d Chap. 8, Handbook of Statistics, vol. 50, 2024, pgs. 267-334<\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Publications 1964 B. R. Frieden, \u201cPolynomial expansion in classical aberrations and spatial frequency for the wave-aberrated optical transfer function of an axially asymmetric lens system,\u201d Optica Acta 11, 33-41 (1964). B. R. Frieden, \u201cMicroscopic observation of film cross sections having steep contours,\u201d Appl. Opt. 3, 395-398 (1964). 1965 B. R. Frieden, \u201cLossless conversion of a plane laser wave to a<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-14","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/pages\/14","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/comments?post=14"}],"version-history":[{"count":14,"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/pages\/14\/revisions"}],"predecessor-version":[{"id":122,"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/pages\/14\/revisions\/122"}],"wp:attachment":[{"href":"https:\/\/wp.optics.arizona.edu\/rfrieden\/wp-json\/wp\/v2\/media?parent=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}