Bidirectional Reflectance : An Overview with Remote Sensing Applications & Measurement

Overhead multiand hyperspectral imaging has enabled a variety of quantitative remote sensing techniques, such as the determination of the abundance and health of vegetation through the Normalized Difference Vegetation Index (NDVI). In addition, anomaly and target detection have been made possible by advanced matched filter algorithms. However, the derived surface reflectance from which all these techniques rely upon is generally directional, and as such depends upon the incident solar and receiving detector angles. This fact is rarely taken into account. The bidirectional reflectance distribution function (BRDF) may be used to compensate for the anisotropic reflectance of a material. However, quantification and employment of BRDF in remote sensing is challenging. The theoretical framework necessary to understand BRDF in the visible to nearinfrared (VNIR) spectral region is discussed, along with BRDF measurement techniques. Some popular BRDF models, which enable interpolation of measured data are reviewed. The most general form of the BRDF, that which includes polarization, is examined in detail. A viable polarimetric BRDF measurement technique is presented, along with models which may be used to extrapolate the measured data. Potential applications of spectro-polarimetric BRDF to remote sensing is reviewed. Finally, a recommendation is made for a simple outdoor BRDF measurement system which enables the application of spatial resolution-dependent BRDF variation toward hyperspectral algorithms and synthetic image generation. ∗Center for Imaging Science; Rochester Institute of Technology; Rochester, New York; e-mail: jrs6394@cis.rit.edu

[1]  William S. Bickel,et al.  Stokes vectors, Mueller matrices, and polarized scattered light , 1985 .

[2]  Alan H. Strahler,et al.  Vegetation canopy reflectance modeling—recent developments and remote sensing perspectives∗ , 1997 .

[3]  Mathias Paulin,et al.  Spectral BRDF modeling using wavelets , 2002, SPIE Defense + Commercial Sensing.

[4]  Alexei Lyapustin,et al.  A new method of retrieving surface bidirectional reflectance from ground measurements: Atmospheric sensitivity study , 1999 .

[5]  P. Beckmann,et al.  The scattering of electromagnetic waves from rough surfaces , 1963 .

[6]  Robert L. Cook,et al.  A Reflectance Model for Computer Graphics , 1987, TOGS.

[7]  Michael T. Beecroft,et al.  Design review of an in-situ bidirectional reflectometer , 1997, Optics & Photonics.

[8]  S. Sandmeier,et al.  Sensitivity analysis and quality assessment of laboratory BRDF data , 1998 .

[9]  M. Minnaert The reciprocity principle in lunar photometry , 1941 .

[10]  Gary W. Meyer,et al.  The Role of Rendering in the Competence Project in Measurement Science for Optical Reflection and Scattering , 2002, Journal of research of the National Institute of Standards and Technology.

[11]  Russell A. Chipman,et al.  Mueller matrix algorithms , 1992, Optics & Photonics.

[12]  Klaus R. Mann,et al.  CHARISMA: a new way for angular-resolved scattering measurements , 2001, SPIE Laser Damage.

[13]  Xavier Briottet,et al.  Presentation of a new BRDF measurement device , 1998, Remote Sensing.

[14]  David Salesin,et al.  A fast and accurate light reflection model , 1992, SIGGRAPH.

[15]  K. Torrance,et al.  Theory for off-specular reflection from roughened surfaces , 1967 .

[16]  B. Hapke Theoretical Photometric Function for the Lunar Surface. , 1963 .

[17]  S. Sandmeier,et al.  Structure Analysis and Classification of Boreal Forests Using Airborne Hyperspectral Brdf Data from Asas Imagery and Processing Techniques Have Also Been Used Potential for Combining Both High Spectral Resolution And , 2022 .

[18]  Kinsell L. Coulson,et al.  Polarization and Intensity of Light in the Atmosphere , 1989 .

[19]  D. Deering,et al.  A sphere-scanning radiometer for rapid directional measurements of sky and ground radiance: The PARABOLA field instrument , 1984 .

[20]  Kristin J. Dana,et al.  Device for convenient measurement of spatially varying bidirectional reflectance. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[21]  Klaus I. Itten,et al.  A field goniometer system (FIGOS) for acquisition of hyperspectral BRDF data , 1999, IEEE Trans. Geosci. Remote. Sens..

[22]  John R. Schott,et al.  Remote Sensing: The Image Chain Approach , 1996 .

[23]  James C. Jafolla,et al.  A Comparison of BRDF Representations and their Effect on Signatures , 1998 .

[24]  Jason P. Meyers Modeling Polarimetric Imaging using DIRSIG , 2002 .

[25]  S. R. Meier,et al.  Polarimetric microfacet scattering theory with applications to absorptive and reflective surfaces , 2002 .

[26]  Comparison of methods for generation of absolute reflectance factor measurements for BRDF studies , 1990 .

[27]  Stephen H. Westin,et al.  Predicting reflectance functions from complex surfaces , 1992, SIGGRAPH.

[28]  Stuart F. Biggar,et al.  Characterization and field use of a CCD camera system for retrieval of bidirectional reflectance distribution function , 2001 .

[29]  Dimitris G. Manolakis,et al.  Detection algorithms for hyperspectral imaging applications , 2002, IEEE Signal Process. Mag..

[30]  J. Beard,et al.  Bidirectional Reflectance Model Validation and Utilization. , 1973 .

[31]  F. Maignan,et al.  Bidirectional reflectance of Earth targets: evaluation of analytical models using a large set of spaceborne measurements with emphasis on the Hot Spot , 2004 .

[32]  Andrea J. van Doorn,et al.  Bidirectional Reflection Distribution Function Expressed in Terms of Surface Scattering Modes , 1996, ECCV.

[33]  Szymon Rusinkiewicz,et al.  A New Change of Variables for Efficient BRDF Representation , 1998, Rendering Techniques.

[34]  Diana M. Hayes Error propagation in decomposition of Mueller matrices , 1997, Optics & Photonics.

[35]  Philip Johnson,et al.  Handheld directional reflectometer: an angular imaging device to measure BRDF and HDR in real time , 1998, Optics & Photonics.

[36]  G. Epema Studies of errors in field measurements of the bidirectional reflectance factor. , 1991 .

[37]  William R. Reynolds,et al.  Theory and measurement of bidirectional reflectance for signature analysis , 1999, Defense, Security, and Sensing.

[38]  George Borshukov Measured BRDF in film production: realistic cloth appearance for "The Matrix Reloaded" , 2003, SIGGRAPH '03.

[39]  Xavier Briottet,et al.  Comparison of measured and modeled BRDF of natural targets , 1999, Defense, Security, and Sensing.

[40]  Michael Hess,et al.  Comparison of polarization bidirectional reflectance distribution function (BRDF) models , 1999, 1999 IEEE Aerospace Conference. Proceedings (Cat. No.99TH8403).

[41]  Frank J. Iannarilli,et al.  Quantifying key trade-off between IR polarimetric discriminability versus pixel resolution against complex targets , 1999, Defense, Security, and Sensing.

[42]  Frank J. Iannarilli,et al.  Development of a combined bidirectional reflectance and directional emittance model for polarization modeling , 2002, SPIE Optics + Photonics.

[43]  D. Bradley Modern Optics , 1968, Nature.

[44]  Peter N. Raven,et al.  Comparison of measured BRDF data with parameterized reflectance models , 2001, SPIE Defense + Commercial Sensing.

[45]  Kurtis J. Thome,et al.  Laboratory characterization of a CCD camera system for retrieval of bi-directional reflectance distribution function , 1999, Remote Sensing.

[46]  Michael E. Thomas,et al.  Physics-based polarimetric BRDF models , 2003, SPIE Optics + Photonics.

[47]  Susan H. C. P. McCall,et al.  Globally accessible bidirectional scattering distribution function software data tool , 1998, Optics & Photonics.

[48]  A. Strahler,et al.  BRDF laboratory measurements , 2000 .

[49]  John R. Schott,et al.  Characterization techniques for incorporating backgrounds into DIRSIG , 2000, Defense, Security, and Sensing.

[50]  N. C. Strugnell,et al.  First operational BRDF, albedo nadir reflectance products from MODIS , 2002 .

[51]  S. Sandmeier,et al.  The Swiss field-goniometer system (FIGOS) , 1995, 1995 International Geoscience and Remote Sensing Symposium, IGARSS '95. Quantitative Remote Sensing for Science and Applications.

[52]  Michael H. Davis,et al.  A CCD based bidirectional spectral reflectance field instrument , 1990 .

[53]  M. Leroy,et al.  Intercomparison of several BRDF models for the compositing of spaceborne POLDER data over land surfaces , 1996, IGARSS '96. 1996 International Geoscience and Remote Sensing Symposium.

[54]  Shree K. Nayar,et al.  Reflectance and texture of real-world surfaces , 1999, TOGS.

[55]  Bui Tuong Phong Illumination for computer generated pictures , 1975, Commun. ACM.

[56]  Ken Perlin,et al.  Measuring bidirectional texture reflectance with a kaleidoscope , 2003, ACM Trans. Graph..

[57]  James C. Jafolla,et al.  Surface reflectance variations in realistic targets , 1998, Defense, Security, and Sensing.

[58]  Annick Bricaud,et al.  The POLDER mission: instrument characteristics and scientific objectives , 1994, IEEE Trans. Geosci. Remote. Sens..

[59]  Stefan R Sandmeier,et al.  Acquisition of bidirectional reflectance factor data with field goniometers , 2000 .

[60]  N. Goel Models of vegetation canopy reflectance and their use in estimation of biophysical parameters from reflectance data , 1988 .

[61]  Richard L. Thompson,et al.  A snapshot of canopy reflectance models and a universal model for the radiation regime , 2000 .

[62]  Kristin J. Dana BRDF/BTF measurement device , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[63]  J. Roujean,et al.  A bidirectional reflectance model of the Earth's surface for the correction of remote sensing data , 1992 .

[64]  Neil W. Scanlan,et al.  Comparative performance analysis of texture characterization models in DIRSIG , 2003 .

[65]  David L.B. Jupp,et al.  Variance in bidirectional reflectance over discontinuous plant canopies , 1998, IGARSS '98. Sensing and Managing the Environment. 1998 IEEE International Geoscience and Remote Sensing. Symposium Proceedings. (Cat. No.98CH36174).

[66]  Harry N. Gross,et al.  An Advanced Synthetic Image Generation Model and its Application to Multi/Hyperspectral Algorithm Development , 1999 .

[67]  Roselyne Lacaze,et al.  Retrieval of vegetation clumping index using hot spot signatures measured by POLDER instrument , 2002 .

[68]  F. E. Nicodemus,et al.  Geometrical considerations and nomenclature for reflectance , 1977 .

[69]  Kurtis J. Thome,et al.  Optical sensor package for multiangle measurements of surface reflectance , 2002, SPIE Optics + Photonics.

[70]  Xiaoli Yu,et al.  Multidimensional signal processing for electro-optical target detection , 1990 .

[71]  J. Morisette,et al.  Field and landscape BRDF optical wavelength measurements: Experience, techniques and the future , 2000 .

[72]  Gary W. Meyer,et al.  A BRDF Database Employing the Beard-Maxwell Reflection Model , 2002, Graphics Interface.

[73]  David S. Flynn,et al.  Polarized surface scattering expressed in terms of a bidirectional reflectance distribution function matrix , 1995 .

[74]  H.-P. Roser,et al.  Use of a wide angle CCD line camera for BRDF measurements , 2000 .

[75]  Steve Marschner,et al.  Image-Based BRDF Measurement Including Human Skin , 1999, Rendering Techniques.

[76]  J. Stover Optical Scattering: Measurement and Analysis , 1990 .

[77]  Scott D. Brown,et al.  Advances in wide-area hyperspectral image simulation , 2003, SPIE Defense + Commercial Sensing.

[78]  Shane R. Cloude,et al.  Conditions For The Physical Realisability Of Matrix Operators In Polarimetry , 1990, Optics & Photonics.

[79]  W. Lucht,et al.  Considerations in the parametric modeling of BRDF and albedo from multiangular satellite sensor observations , 2000 .

[80]  Donald P. Greenberg,et al.  A comprehensive physical model for light reflection , 1991, SIGGRAPH.

[81]  A. Demircan,et al.  Bidirectional reflectance measurements using a CCD-line-camera on a rotating device , 1999, IEEE 1999 International Geoscience and Remote Sensing Symposium. IGARSS'99 (Cat. No.99CH36293).

[82]  Tod F. Schiff,et al.  Mueller matrix measurements with an out-of-plane polarimetric scatterometer , 1992, Optics & Photonics.

[83]  Shree K. Nayar,et al.  Generalization of Lambert's reflectance model , 1994, SIGGRAPH.

[84]  F. E. Nicodemus Reflectance nomenclature and directional reflectance and emissivity. , 1970, Applied optics.