@string{ACADEMIC = {Academic Press}}
@string{ACADEMIC_addr = {Orlando, FL}}

@string{ACSM = {American Congress on Surveying and Mapping}}
@string{AJOPO = {American Journal of Optometry and Physiological Optics}}

@string{AO = {Applied Optics}}

@string{BYTE = {Byte}}

@string{CVGIP = {Computer Vision, Graphics, and Image Processing}}

@string{AW = {Addison-Wesley}}
@string{AW_addr = {Reading, MA}}

@string{BADISCHE = {Badische Corporation (BASF)}}
@string{BADISCHE_addr = {Williamsburg, VA 23185}}

@string{CAMBRIDGE = {Cambridge University Press}}
@string{CAMBRIDGE_addr = {New York, NY}}

@string{CSP = {Computer Science Press}}
@string{CSP_addr = {Rockville, MD}}

@string{DOVER = {Dover}}
@string{DOVER_addr = {New York, NY}}

@string{DOWDEN = {Dowden, Hutchinson, and Ross}}
@string{DOWDEN_addr = {Stroudsburg, PA}}

@string{ELECTLETTERS = {Electronics Letters}}

@string{COMP = {Computer}}
@string{CACM = {Communications of the ACM}}
@string{SPECTRUM = {IEEE Spectrum}}
@string{PIEEE = {Proceedings of the IEEE}}
@string{IEEEASSP = {IEEE Transactions on Acoustics, Speech, and Signal
	Processing}}
@string{FREEMAN = {W. H. Freeman}}
@string{FREEMAN_addr = {New York, NY}}

@string{IEEE = {IEEE}}
@string{IEEE_addr = {New York, NY}}

@string{IEEEAES = {IEEE Transactions on Aerospace and Electronic Systems}}
@string{IEEEAC = {IEEE Transactions on Automatic Control}}
@string{IEEEAU = {IEEE Transactions on Audio and Electroacoustics}}
@string{IEEEBR = {IEEE Transactions on Biomedical Engineering}}
@string{IEEEC = {IEEE Transactions on Computers}}
@string{IEEECAS = {IEEE Transactions on Circuits and Systems}}
@string{IEEECOM = {IEEE Transactions on Communication}}
@string{IEEEEMC = {IEEE Transactions on Electromagnetic Compatibility}}
@string{IEEEIP = {IEEE Transactions on Image Processing}}
@string{IEEEIT = {IEEE Transactions on Information Theory}}
@string{IEEEPAMI = {IEEE Transactions on Pattern Analysis and Machine
	Intelligence}}
@string{IEEESMC = {IEEE Transactions on Systems, Man, and Cybernetics}}

@string{IEEECS = {IEEE Computer Society}}
@string{IEEECS_addr = {Silver Spring, MD}}

@string{ILL = {University of Illinois Press}}
@string{ILL_addr = {Urbana, IL}}


@string{ISA = {Instrument Society of America}}
@string{ISA_addr = {Research Triangle Park, NC}}

@string{IVC = {Image and Vision Computing}}

@string{IJRS = {International Journal of Remote Sensing}}

@string{PIRE = {Proceedings of the IRE}}

@string{INF_CNTRL = {Information and Control}}

@string{JACM = {Journal of the Association for Computing Machinery}}

@string{JIT = {Journal of Imaging Technology}}

@string{JOSA = {Journal of the Optical Society of America}}
@string{JOSAA = {Journal of the Optical Society of America A}}
@string{JOSAB = {Journal of the Optical Society of America B}}

@string{JRNBS = {Journal of Research of the National Bureau of Standards}}

@string{JSOUNDVIB = {J. Sound Vib.}}

@string{MATHCOMP = {Mathematics of Computation}}

@string{OPTENGR = {Optical Engineering}}

@string{OPTICSCOMM = {Optics Communications}}

@string{PATTERNREC = {Pattern Recognition}}

@string{PHOTOGRAM = {Photogrammetria}}

@string{PHOTOSCIENGR = {Photographic Science and Engineering}}

@string{REVSCIINSTR = {Rev. Sci. Instrum.}}

@string{SCIENCE = {Science}}

@string{SIAMAPPLMATH = {SIAM Journal of Applied Mathematics}}
@string{SIAMSCISTATCOMP = {SIAM Journal of Scientific and Statistical
		Computing}}

@string{CCVPR = {Proceedings of the Conference on
	Computer Vision and Pattern Recognition}}

@string{ICASSP = {Proceedings of the International Conference on
	Acoustics, Speech, and Signal Processing}}

@string{KLUWER = {Kluwer Academic Publishers}}
@string{KLUWER_addr = {Boston, MA}}

@string{MACMILLAN = {Macmillan}}
@string{MACMILLAN_addr = {New York, NY}}

@string{MCGRAW = {McGraw-Hill}}
@string{MCGRAW_addr = {New York, NY}}

@string{MIT = {MIT Press}}
@string{MIT_addr = {Cambridge, MA}}

@string{NASA = {NASA}}
@string{NASA_addr = {Washington, DC}}

@string{OXFORD = {Oxford University Press}}
@string{OXFORD_addr = {New York, NY}}

@string{PH = {Prentice-Hall}}
@string{PH_addr = {Englewood Cliffs, NJ}}

@string{PLENUM = {Plenum Press}}
@string{PLENUM_addr = {New York, NY}}

@string{PROC_ISCAS = {Proceedings of the International Symposium on Circuits
	and Systems}}

@string{PROC_PRINCETON_CISS = {Proceedings of the Princeton Conference on
	Information Sciences and Systems}}

@string{PROC_PRIP = {Proceedings of the Conference on Pattern Recognition
	and Image Processing}}

@string{PROC_SPIE = {Proceedings of the Society of Photo-Optical
	Instrumentation Engineers}}

@string{VIPTTR = {Visual Information Processing for Television and
                 Telerobotics}}

@string{PWS = {Prindle, Weber & Schmidt}}
@string{PWS_addr = {Boston, MA}}

@string{REIDEL = {D. Reidel Publishing}}
@string{REIDEL_addr = {}}

@string{SPIE = {SPIE}}
@string{SPIE_addr = {Bellingham, WA}}

@string{SPRINGER = {Springer-Verlag}}
@string{SPRINGER_addr = {New York, NY}}

@string{VNR = {Van Nostrand Reinhold}}
@string{VNR_addr = {New York, NY}}

@string{WILEY = {John Wiley and Sons}}
@string{WILEY_addr = {New York, NY}}

@string{WMCS = {Department of Computer Science, College of William and Mary}}
@string{WMCS_addr = {Williamsburg, VA  23185}}

@BOOK{ulichney,
	AUTHOR = "Ulichney, Robert",
	TITLE = "Digital Halftoning",
	PUBLISHER = MIT,
	ADDRESS = MIT_addr,
	YEAR = 1987
}

@ARTICLE{bell++:ivc7/3,
        AUTHOR = "Bell, Sara B. M. and Holroyd, Fred C. and Mason, David C.",
        TITLE  = "A Digital Geometry for Hexagonal Pixels",
        JOURNAL= IVC,
        VOLUME = "7",
        NUMBER = "3",
        PAGES  = "194--204",
        YEAR   = 1989,
	ABSTRACT = "Comparison of Hexagonal and square pixels  and arrays for 
                    image processing shows that the former have many advantages.
                    However, squares can be addressed with integers and 
                    orthogonal axes, while for hexagons the axes must be at an
                    oblique angle of 60 degrees. This paper describes a general
                    method of producing geometrical algorithms for such axes."
}


@INCOLLECTION{bertie,
        AUTHOR    = "Bertie, John E.",
	EDITOR    = "Durig, J. R.",
	BOOKTITLE = "Analytical Applications of FT-IR to Molecular 
                     and Biological Systems",
	TITLE     = "Apodization and Phase Correction",
	PUBLISHER = REIDEL,
	PAGES     = "25--50",
	YEAR      = 1980
}

@INCOLLECTION{biberman:chpt6,
	EDITOR = "Biberman, Lucien M.",
	BOOKTITLE = "Perception of Displayed Information",
	TITLE = "Image Reproduction by a Line Raster Process",
	AUTHOR = "Schade, Otto H., Sr.",
	PUBLISHER = PLENUM,
	PAGES = "233--278",
	ADDRESS = PLENUM_addr,
	YEAR = 1973,
	CHAPTER = 6
}

@INCOLLECTION{biberman:chpt7,
	EDITOR = "Biberman, Lucien M.",
	BOOKTITLE = "Perception of Displayed Information",
	TITLE = "The Aliasing Problems in Two-Dimensional Sampled Imagery",
	AUTHOR = "Legault, Richard R.",
	PAGES = "279--312",
	PUBLISHER = PLENUM,
	ADDRESS = PLENUM_addr,
	YEAR = 1973,
	CHAPTER = 7
}

@ARTICLE{burton++:jit17/6,
        AUTHOR = "Burton, John C. and Miller, Keith W. and Park, Stephen K.",
        TITLE  = "Fidelity Metrics for Hexagonally Sampled Digital Imaging Systems",
        JOURNAL= JIT,
        VOLUME = "17",
        NUMBER = "6",
        PAGES  = "279--283",
        YEAR   = 1991
}

@InProceedings{burton++:spie1961,
  author = 	 "Burton, John C. and Miller, Keith W. and Park, Stephen K.",
  title = 	 "Rectangularly and Hexagonally Sampled Imaging System
		  Fidelity Analysis",
  volume = 	 "1961",
  pages = 	 "",
  booktitle = "Visual Information Processing II",
  year = 	 "1993",
  organization = SPIE,
  annote = 	 "This paper provides a common mathematical
		  framework for analyzing image fidelity loss in
		  rectangularly and hexagonally sampled digital
		  imaging systems. The fidelity losses considered are
		  due to blurring during image formation, aliasing due
		  to undersampling, and imperfect reconstruction. The
		  analysis of the individual and combined effects of
		  these losses is based upon an idealized, noiseless,
		  continuous-discrete-continuous end-to-end digital
		  imaging system model consisting of four independent
		  system components: an input scene, an image
		  gathering point spread function, a sampling
		  function, and an image reconstruction funtion. The
		  generalized sampling function encompasses both
		  hexagonal and rectangular sampling lattices.
		  Quantification of the imaging fidelity losses is
		  accomplished via mean-squared-error metrics.
		  Shift-variant sampling effects are accounted for
		  with an expected value analysis. This mathematical
		  framework is used as the basis for a series of
		  simulations comparing a regular rectangualr sampling
		  grid to a regular hexagonal smapling grid for a
		  variety of image formation and image reconstruction
		  conditions."
}


@PhdThesis{burton:dissertation,
  author = 	 "{Burton II}, John C.",
  title = 	 "End--to--End Analysis of Hexagonal vs. Rectangular
		  Sampling in Digital Imaging Systems",
  school = 	 "The College of William and Mary in Virginia",
  year = 	 "1993",
  OPTcrossref =  "",
  OPTkey = 	 "",
  OPTaddress = 	 "",
  OPTmonth = 	 "",
  OPTtype = 	 "",
  OPTnote = 	 "",
  OPTannote = 	 ""
}
@ARTICLE{cheung+marks:josaa7/1,
        AUTHOR = "Cheung, Kwan F. and Marks, Robert J.",
        TITLE  = "Image Sampling Below the Nyquist Density Without Aliasing",
        JOURNAL= JOSAA,
        VOLUME = "7",
        NUMBER = "1",
        PAGES  = "92--105",
        YEAR   = 1990
}

@ARTICLE{cramblitt++:josa73/11,
        AUTHOR = "Cramblitt, Robert M. and Allebach, Jan P.",
        TITLE  = "Analysis of time-sequential sampling with a spatially
                  hexagonal lattice",
        JOURNAL= JOSA,
        VOLUME = "73",
        NUMBER = "11",
        PAGES  = "1510--1517",
        YEAR   = 1983
}


@ARTICLE{geisler++:josaa3/1,
        AUTHOR = "Geisler, Wilson S. and Hamilton, David B.",
        TITLE  = "Sampling-theory analysis of spatial vision",
        JOURNAL= JOSAA,
        VOLUME = "3",
        NUMBER = "1",
        PAGES  = "62--70",
        YEAR   = 1986
}

@ARTICLE{golay:ieeec18/8,
	AUTHOR = "Golay, Marcel",
	TITLE  = "Hexagonal Parallel Pattern Transformations",
	JOURNAL= IEEEC,
	VOLUME = "C-18",
	NUMBER = "8",
	PAGES  = "733--740",
	YEAR   = 1969
}

@ARTICLE{gray:ieeec20/5,
	AUTHOR = "Gray, Stephen B.",
	TITLE  = "Local Properties of Binary Images in Two Dimensions",
	JOURNAL= IEEEC,
	VOLUME = "C-20",
	NUMBER = "5",
	PAGES  = "551--561",
	YEAR   = 1971
}


@INPROCEEDINGS{kamgar-parsi++:ccvpr89,
	AUTHOR = "Kamgar-Parsi, Behzad and Kamgar-Parsi, Behrooz and Sander, William A. III",
	TITLE = "Quantization Error in Spatial Sampling:
                 Comparison Between Square and Hexagonal Pixels",
	BOOKTITLE = CCVPR,
	ORGANIZATION = IEEECS,
	PAGES = "604--611",
	YEAR = 1989,
	ABSTRACT = "Square and hexagonal spatial sampling, because of their 
                    processing ease, are used most widely in image and signal 
                    processing. However, no rigorous treatment of the 
                    quantization error due to hexagonal sampling has appeared
                    in the literature. In this paper we develop mathematical 
                    tools for estimating quantization error in hexagonal
                    sensory configurations. These include analytic expressions 
                    for the average error and the error distribution for 
                    of a function of an arbitrarily large number of 
                    hexagonally quantized variables. The two quantities, the
                    average error and the error distribution, are essential in
                    assessing the reliability of a given algorithm. For 
                    comparison we also present the corresponding expressions 
                    for square spatial sampling, so that they can be used to 
                    compare the magnitiude of the error incurred in hexagonal
                    versus square quantization for a given alogorithm. They
                    can thus be used to determine which sampling technique
                    would result in less quantization error for a particular 
                    algorithm. Such a comparison is important due to the 
                    paramount role that quantization error plays in computational
                    approaches to computer vision. Some general observations in
                    regard to the relative accuracy of hexagonal versus square
                    quantization are also presented. It is hoped that the expressions 
                    derived in this paper will have an impact on both sensor
                    design and the assessment of the reliability of a given 
                    algorithm under hexagonal as well as square quantization."
                    
}


@ARTICLE{kamgar-parsi++:ieeepami11/9,
        AUTHOR = "Kamgar-Parsi, Behzad and Kamgar-Parsi, Behrooz",
        TITLE  = "Quantization Error in Hexagonal Sensory Configurations",
        JOURNAL= IEEEPAMI,
        VOLUME = "11",
        NUMBER = "9",
        PAGES  = "929--940",
        YEAR   = 1989,
	ABSTRACT = "Due to the important role that digitization error plays in
                    the field of computer vision, a careful  analysis of its
                    impact on the computational approaches used in the field is
                    necessary. In this paper we develop the mathematical tools
                    for the computation of the average (or expected) error
                    due to quantization. They can be used in estimating the
                    actual error occuring in the implementation of a method.
                    Also derived is the analytic expression for the probability
                    density function of error distribution of a function of an
                    arbitrarily large number of independently quantized variables.
                    The probability of the error of the function to be within 
                    a given range can thus be obtained accurately. In analyzing
                    the applicability of an approach one must determine whether
                    the approach is capable of withstanding the quantization
                    error. If not, then regardless of the accuracy with which
                    the experiments are carried out the approach will yield
                    unacceptable results. The tools developed here can be used
                    in the analysis of the applicability of a given algorithm,
                    hence revealing the intrinsic limitations of the approach."
}



@ARTICLE{kamgar-parsi++:ieeepami14/6,
        AUTHOR = "Kamgar-Parsi, Behzad and Kamgar-Parsi, Behrooz",
        TITLE  = "Quantization Error in Hexagonal Sensory Configurations",
        JOURNAL= IEEEPAMI,
        VOLUME = "14",
        NUMBER = "6",
        PAGES  = "665--671",
        YEAR   = 1992,
	ABSTRACT = "Hexagonal spatial sampling is widely used in image
                    and signal processing. However, no rigorous treatment of
                    the quantization error due to hexagonal sampling has appeared
                    in the literature. In this paper we develop mathematical 
                    tools for estimating quantization error in hexagonal sensory
                    configurations. These include analytic expressions for the average
                    error and the error distribution of a function of an 
                    arbitrary number of quantized variables. These two quantities 
                    are essential for assesing the reliability of a given 
                    algorithm. they can also be used to compare the relative
                    sensitivity of a particular algorithm to quantization
                    error for hexagonal and other spatial samplings, e.g.
                    square, and can have an impact on sensor design. Furthermore,
                    we show that the ratio of hexagonal error to square error
                    is bounded between 0.90 and 1.05."
}



@ARTICLE{marks:josaa3/2,
        AUTHOR = "Marks, Robert J.",
        TITLE  = "Multidimensional Signal Sample Dependency at Nyquist Densities",
        JOURNAL= JOSAA,
        VOLUME = "3",
        NUMBER = "2",
        PAGES  = "268--273",
        YEAR   = 1986
}

@ARTICLE{mersereau+speake:ieeeassp31/1,
	AUTHOR = "Mersereau, Russell M. and Speake, Theresa C.",
	TITLE = "The Processing of Periodically Sampled Multidimensional
		Signal",
	JOURNAL = IEEEASSP,
	VOLUME = "31",
	NUMBER = "5",
	PAGES = "188--194",
	YEAR = 1983,
	ABSTRACT = " This paper discusses algorithms for processing 
		multidimensional signals which are sampled on regular 
		but nonrectangular lattices. Such sampling lattices are
		dictated by some applications and may be chosen for
		others because of their resulting symmetric responses
		or computational efficiencies. We show that any operation
		which can be performed on a rectangular lattice can be
		performed on any regular periodic lattice, including
		FIR and IIR filtering, DFT calculation, and decimation
		and interpolation. This paper also discusses how generalized 
		decimators and interpolators can be used to convert from
		one sampling lattice to another."
}

@ARTICLE{murphy++:josa72/7,
        AUTHOR = "Murphy, Patrcia K. and Gallagher, Neal C.",
        TITLE  = "Hexagonal sampling techniques applied to Fourier and Fresnel
                  digital holograms",
        JOURNAL= JOSA,
        VOLUME = "3",
        NUMBER = "2",
        PAGES  = "929--937",
        YEAR   = 1982
}

@ARTICLE{norton+beers:josa66/3,
        AUTHOR = "Norton, Robert H. and Beer, Reinhard",
        TITLE  = "New Apodizing Functions for Fourier Spectrometry",
        JOURNAL= JOSA,
        VOLUME = "66",
        NUMBER = "3",
        PAGES  = "259--264",
        YEAR   = 1976
}


@ARTICLE{park:ao21/8,
        AUTHOR = "Park, Jae H.",
        TITLE  = "Effect of Interferogram Smearing on Atmospheric Limb Sounding
                  by Fourier Transform Spectroscopy",
        JOURNAL= AO,
        VOLUME = "21",
        NUMBER = "8",
        PAGES  = "1356--1366",
        YEAR   = 1982
}
@INPROCEEDINGS{park:spie1992,
	AUTHOR = "Park, Stephen K.",
	TITLE = "Image Gathering, Interpolation and Restoration: A Fidelity Analysis",
	BOOKTITLE = "SPIE 1992 Technical Symposium on
                     Visual Information Processing",
 	PEDITOR = "",
	ORGANIZATION = SPIE,
	VOLUME = "",
	PAGES = "",
	YEAR = 1992,
	ABSTRACT = "Many modeling, simulation and performance analysis studies of
                    sampled imaging systems are inherently incomplete because the
                    are conditioned on a discrete-input, discrete-output model
                    which only accounts for blurring during image gathering and 
                    additive noise. For those sampled imaging systems where the
                    effects of image gathering, restoration and interpolation
                    are significant the modeling, simulation and performance
                    analysis shoudl be based on a more comprehensive continuous-input,
                    discrete processing, continuous-output end-to-end model. This
                    more comprehensive model should properly account for the low-pass
                    filtering effects of image gathering prior to sampling, the
                    potentially important noise-like effects of aliasing, additive
                    noise, the high-pass filtering effects of restoration, and
                    the low-pass filtering effects of image reconstruction. Yet
                    this model should not be so complex as to preclude significant
                    mathematical analysis, particularly the mean-squared (fidelity)
                    type of analysis so common in linear system theory. In this
                    paper we demonstrate that, although the mathematics of this
                    more comprehensive model is more complex, the increase in 
                    complexity is not so great as to prevent a complete fidelity-metric
                    analysis at both the component level and at the end-to-end
                    system level. That is, easily computed, mean-square-based
                    fidelity metrics are developed by which both component-level
                    and system-level performance can be predicted. In particular,
                    it is demostrated that these fidelity metrics can be used to
                    quantify the combined effects of image gathering, restoration
                    and reconstruction."
                    
}


@ARTICLE{preston:ieeec20/9,
	AUTHOR = "Preston, Kendall Jr.",
	TITLE  = "Feature Extraction by Golay Hexagonal Pattern Transforms",
	JOURNAL= IEEEC,
	VOLUME = "C-20",
	NUMBER = "9",
	PAGES  = "1007--1014",
	YEAR   = 1971
}

@INPROCEEDINGS{reichenbach++:spie1569,
	AUTHOR = "Reichenbach, Stephen E. and Park, Stephen K. and
                  Alter-Gartenberg, Rachel and Rahman, Zia-ur",
	TITLE = "Artificial Scenes and Simulated Imaging",
	BOOKTITLE = "Stochastic and Neural Methods in Signal Processing,
                     Image Processing, and Computer Vision",
 	PEDITOR = "Su-Shing Chen",
	ORGANIZATION = SPIE,
	VOLUME = "1569",
	PAGES = "422--433",
	YEAR = 1991,
	ABSTRACT = "This paper describes a software simulation environment
                    for controlled image processing research. The simulation is
                    based on a comprehensive model of the end-to-end imaging
                    process that accounts ofr statistical characteristics of the
                    scene, image formation, noise, noise and display reconstruction.
                    The simulation uses a stochastic process to generate superresolution
                    digital scenes with variable spatial structure and detail.
                    The simulation of the imaging process accounts for the important
                    components of digital imaging systems, including the transformation
                    from continuous to discrete acquisition and from discrete
                    to continuous during display. This model is appropriate for 
                    a variety of problems that involve image acquisition and
                    display including system design, image restoration, enhancement,
                    compression, and edge detection. By using a model-based simulation
                    research can be conducted with greater precision, flexibility, 
                    and portability than is possible using physical systems and
                    experiments can be replicated on any general purpose computer."

}

@ARTICLE{schowengerdt++:ijrs5/2,
	AUTHOR = "Schowengerdt, Robert and Park, Stephen K. and Gray, Robert",
	TITLE  = "Topics in the Two--dimensional Sampling and Reconstruction of Images",
	JOURNAL= IJRS,
	VOLUME = "5",
	NUMBER = "2",
	PAGES  = "333--347",
	YEAR   = 1984
}

@ARTICLE{staunton:ivc7/3,
        AUTHOR = "Staunton, R. C.",
        TITLE  = "The design of hexagonal sampling structures for image
                  digitization and their use with local operators",
        JOURNAL= IVC,
        VOLUME = "7",
        NUMBER = "3",
        PAGES  = "162--166",
        YEAR   = 1989,
	ABSTRACT = "An optimum hexagonal sampling structure for use with a
                    raster scan input device is described. A set of local
                    operators for detecting object edges within the image is
                    designed and the accuracy shown to be high when compared
                    with similar operators for use in the conventional square
                    structure. It is also noted that hexagonal Fourier plan
                    operators exist. A comparison between equivalent processing
                    times for systems implemented on a popular processor is presented
                    and a saving in excess of 40 \% is demonstrated."
}



@ARTICLE{watson+ahumada:ieeebr36/1,
        AUTHOR = "Watson, Andrew B. and Ahumada, Albert J.",
        TITLE = "A Hexagonal Orthogonal--Oriented Pyramid as a Model of
                 Image Representation in Visual Cortex",
        JOURNAL = IEEEBR,
        VOLUME = "36",
        NUMBER = "1",
        YEAR = 1989,
        PAGES = "97--106",
        ABSTRACT = "Retinal ganglion cells represent the visual image
                with a spatial code, in which each cell conveys information
                about a small region in the image. In contrast, cells of
                primary visual cortex employ a hybrid space--frequency
                code in which every cell conveys information about a region
                that is local in space, spatial frequency, and orientation.
                Despite the presummable importance of this transformation
                we lack any comprehensive notion of how it occurs. Here we
                describe a mathematical model for this transformation. The
                hexagonal orthogonal--oriented quadrature pyramid (HOP)
                transform, which operates on a hexagonal input lattice,
                employs basis functions that are orthogonal, self--similar,
                and localized in space, spatial frequency, orientation,
                and phase. The basis functions, which are generated from
                seven basic types through a recursive process, form an 
                image code of the pyramid type. The seven basic functions,
                six bandpass and one lowpass, occupy a point and a hexagon
                of six nearest neighbors on a hexagonal sample lattice.
                The six bandpass functions consist of three with even 
                symmetry, and three with odd symmetry. The three even
                kernels are rotations of 0, 60, and 120 degrees of a common
                kernel; likewise for the three odd kernels. At the lowest
                level, the inputs are image samples. At each higher level,
                the input lattice is provided by the lowpass coefficients
                computed at the previous level. At each level, output
                is subsampled in such a way as to yield a new hexagonal
                lattice with a spacing $\sqrt{7}$ larger than the previous
                level, so that the number of coefficients is reduced by a
                factor of seven at each level. In the biological model,
                the input lattice is the retinal ganglion cell array. The
                resulting scheme provides a compact, efficient code of the 
                image and generates receptive fields that resemble those
                of the primary visual cortex."
}

@Article{hein++:ieeeemc26/3,
  author = 	 "Hein, David N. and Ahmed, Nasir",
  title = 	 "Video Compression Using Conditional Replenishment
		  and Motion Prediction",
  journal =	 IEEEEMC,
  year =	 1984,
  volume =	 "EMC-26",
  number =	 "3",
  pages =	 "134--142",
  month =	 "August",
}

@InProceedings{weiler++:acsm-asprs91,
  author = 	 "Weiler, Peter R. and Scarpace, Frank L. and Thoma,
		  Micheal N.",
  title = 	 "Difference Transformations for Improving Satellite
		  Image Compression",
  booktitle =	 "1991 ACSM--ASPRS Annual Convention, Baltimore Md.",
  year =	 1991,
  volume =	 3,
  organiztion =  ACSM,
  series =	 "Technical Papers",
  pages =	 "468--477",
  month =	 "March"
}

@InProceedings{allerd++:spie1702,
  author = 	 "Allred, Lloyd G. and Kelly, Gary E.",
  title = 	 "A Lossless image compression technique for infrared
		  thermal images",
  booktitle =    "Hybrid Image and Signal Processing II",
  organiztion =  SPIE,
  year = 	 1992,
  volume = 	 1702,
  pages = 	 "230--237"
}



@InProceedings{kemeny++:spie1242,
  author = 	 "Kemeny, S. E. and Meadows, H. and Fossum, E. R.",
  title = 	 "Design of a {CCD} focal--plane codec preprocessor for
		  lossless image compression",
  booktitle =    "Charge-Coupled Devices and Solid State Optical Sensors",
  organiztion =  SPIE,
  year = 	 1990,
  volume = 	 1242,
  pages = 	 "118--125"
}


@Article{huang++el27/22,
  author = 	 "Huang, Y.-S. and Hsu, C.-Y.",
  title = 	 "Tracking Moving Objects in Noisy Environments Using
		  {Walsh} Transform",
  journal =	 ELECTLETTERS,
  year =	 1991,
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@Article{lewis++:el26/6,
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@Article{lewis++:ieeeip1/2,
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@INPROCEEDINGS{sayood++:vipttr,
	AUTHOR = "Sayood, Khalid and Whyte, Wayne A. and Anderson,   
                  Karen S. and Shalkhauser, Mary Jo and Summers, Anne E.",
	TITLE = "Data Compression for the Migrogravity Experiments",
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	ORGANIZATION = "NASA Conf.\ Pub.\ 3053",
	YEAR = 1989,
	PAGES = "93--120",
	ABSTRACT = "TO BE TYPED"
}


@INPROCEEDINGS{beaudet:vipttr,
  AUTHOR =       "Beaudet, Paul R.",
  TITLE =        "Context Dependent Prediction and Category Encoding
		  for {DPCM} Image Compression",
  BOOKTITLE =     VIPTTR,
  ORGANIZATION = "NASA Conf.\ Pub.\ 3053",
  YEAR =          1989,
  PAGES =        "57--70",
  ABSTRACT =     "TO BE TYPED"
}

@INPROCEEDINGS{kunt:vipttr,
  AUTHOR =       "Kunt, Murat",
  TITLE =        "High Compression Image and Image Sequence Coding",
  BOOKTITLE =     VIPTTR,
  ORGANIZATION = "NASA Conf.\ Pub.\ 3053",
  YEAR =          1989,
  PAGES =        "121--132",
  ABSTRACT =     "TO BE TYPED"
}



@INPROCEEDINGS{coon++:vipttr,
  AUTHOR =       "Coon, D. D. and Perera, A. G. U",
  TITLE =        "Parallel Asynchronous Systems and Image Processing Algorithms",
  BOOKTITLE =     VIPTTR,
  ORGANIZATION = "NASA Conf.\ Pub.\ 3053",
  YEAR =          1989,
  PAGES =        "191--202",
  ABSTRACT =     "TO BE TYPED"
}


@INPROCEEDINGS{gardner:vipttr,
  AUTHOR =       "Gardner, Sheldon",
  TITLE =        "Neural Networks for Data Compression and Invariant
		  Image Recognition",
  BOOKTITLE =     VIPTTR,
  ORGANIZATION = "NASA Conf.\ Pub.\ 3053",
  YEAR =          1989,
  PAGES =        "203--214",
  ABSTRACT =     "TO BE TYPED"
}


@INPROCEEDINGS{farrelle:vipttr,
  AUTHOR =       "Farrelle, Paul M.",
  TITLE =        "A Programmable Image Compression System",
  BOOKTITLE =     VIPTTR,
  ORGANIZATION = "NASA Conf.\ Pub.\ 3053",
  YEAR =          1989,
  PAGES =        "241--250",
  ABSTRACT =     "TO BE TYPED"
}


@INPROCEEDINGS{lewis++:vipttr,
  AUTHOR =       "Lewis, H. Garton and Forsyth, William B.",
  TITLE =        "Hybrid {LZW} Compression",
  BOOKTITLE =     VIPTTR,
  ORGANIZATION = "NASA Conf.\ Pub.\ 3053",
  YEAR =          1989,
  PAGES =        "251--260",
  ABSTRACT =     "TO BE TYPED"
}


@INPROCEEDINGS{cornsweet:vipttr,
  AUTHOR =       "Cornsweet, Tom N.",
  TITLE =        "Image Processing by Intensity-Dependent Spread ({IDS})",
  BOOKTITLE =     VIPTTR,
  ORGANIZATION = "NASA Conf.\ Pub.\ 3053",
  YEAR =          1989,
  PAGES =        "133--144",
  ABSTRACT =     "TO BE TYPED"
}


@INPROCEEDINGS{kurrasch:vipttr,
  AUTHOR =       "Kurrasch, Eleanor",
  TITLE =        "Applications of the {IDS} Model",
  BOOKTITLE =     VIPTTR,
  ORGANIZATION = "NASA Conf.\ Pub.\ 3053",
  YEAR =          1989,
  PAGES =        "165--176",
  ABSTRACT =     "TO BE TYPED"
}
