Characterization of White Paper Sheets by BRDF Model Parameters Estimated in the Specular Reflection Plane

We characterize sheets of white paper using three bidirectional reflectance distribution function (BRDF) model parameters estimated from the BRDF in the specular reflection plane. The radiance factors of eight types of paper sheets having a wide range of material characteristics were measured for 284 geometries in the specular reflection plane. They were approximated within an average error of 4.5% using a linear combination of Torrance-Sparrow and Lambert's BRDF models. The proposed model well approximated the BRDF of samples in the specular plane. Based on the estimated BRDF model parameters, the eight measured paper sheets could be broadly classified into glossy papers and rough papers. The two glossy papers were distinguishable from each other, while the six rough papers could be classified into three groups using the BRDF model parameters. The proposed method is considered to be effective for characterizing a wide range of white paper ranging from glossy to matte paper.

[1]  Per Edström,et al.  Quantification of the intrinsic error of the Kubelka-Munk model caused by strong light absorption , 2003 .

[2]  Katsushi Ikeuchi,et al.  Eigen-Texture Method: Appearance Compression and Synthesis Based on a 3D Model , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

[3]  Hans-Peter Seidel,et al.  Image-Based Reconstruction of Spatially Varying Materials , 2001 .

[4]  L. C. Henyey,et al.  Diffuse radiation in the Galaxy , 1940 .

[5]  Stephen Lin,et al.  Single-image reflectance estimation for relighting by iterative soft grouping , 2002, 10th Pacific Conference on Computer Graphics and Applications, 2002. Proceedings..

[6]  Pat Hanrahan,et al.  A signal-processing framework for inverse rendering , 2001, SIGGRAPH.

[7]  P. Edström.  Fast and Stable Solution Method for Angle-Resolved Light Scattering Simulation , 2002 .

[8]  P. Kubelka,et al.  New Contributions to the Optics of Intensely Light-Scattering Materials. Part I , 1948 .

[9]  Katsushi Ikeuchi,et al.  Object shape and reflectance modeling from observation , 1997, SIGGRAPH.

[10]  Hans-Peter Seidel,et al.  Planned Sampling of Spatially Varying BRDFs , 2003, Comput. Graph. Forum.

[11]  Steven A. Shafer,et al.  Using color to separate reflection components , 1985 .

[12]  Takeo Kanade,et al.  Surface Reflection: Physical and Geometrical Perspectives , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  Hans-Peter Seidel,et al.  Image-based reconstruction of spatial appearance and geometric detail , 2003, TOGS.

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

[15]  Steve Marschner,et al.  Modeling and Rendering for Realistic Facial Animation , 2000, Rendering Techniques.

[16]  K. Ikeuchi,et al.  Determining reflectance parameters and illumination distribution from a sparse set of images for view-dependent image synthesis , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[17]  Seiichi Serikawa,et al.  Extraction of Glossiness of Curved Surfaces by the Use of Spatial Filter Simulating Retina Function , 1994 .

[18]  André Gagalowicz,et al.  Image-based rendering of diffuse, specular and glossy surfaces from a single image , 2001, SIGGRAPH.

[19]  P. Kubelka,et al.  Errata: New Contributions to the Optics of Intensely Light-Scattering Materials. Part I , 1948 .

[20]  H. Lipshitz,et al.  On the relationships between topography and gloss , 1990 .

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

[22]  L. Richards,et al.  Multiple scattering calculations for technology. , 1971, Applied optics.

[23]  Seiichi Serikawa,et al.  Method for Measuring Glossiness of Plane Surfaces Based on Psychological Sensory Scale , 1993 .

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

[25]  Hjalmar Granberg,et al.  Forward scattering of fiber-containing surfaces studied by 3-D reflectance distribution simulations and measurements , 2003 .

[26]  P. Kubelka.  Ein Beitrag zur Optik der Farban striche , 1931 .

[27]  Jitendra Malik,et al.  Recovering photometric properties of architectural scenes from photographs , 1998, SIGGRAPH.

[28]  Toby Howard,et al.  Flexible Image‐Based Photometric Reconstruction using Virtual Light Sources , 2001, Comput. Graph. Forum.

[29]  James F. Blinn,et al.  Models of light reflection for computer synthesized pictures , 1977, SIGGRAPH.