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vorable to choose a more suitable reflectance model
or to use a data-driven, non-parametric approach to
model the observed complex behaviors and/or to ac-
quire images from several viewpoints. Nevertheless,
the accurate 3D reconstruction results show that the
applied reflectance function is suitable for integrating
the image-based photometric information with the ab-
solute depth data.
A somewhat critical aspect lies in the generaliza-
tion of the presented approach with regard to inter-
reflections. Currently, the algorithm assumes only
first-order reflections, which induces errors if inter-
reflections occur. Hence, future work will address the
development of a mechanism for the compensation
or the exploitation of the effects of interreflections at
specular surfaces.
REFERENCES
Beckmann, P. and Spizzichino, A. (1987). The Scattering of
Electromagnetic Waves from Rough Surfaces. Num-
ber ISBN-13: 987-0890062382. Artech House Radar
Library.
Cook, R. L. and Torrance, K. E. (1981). A reflectance model
for computer graphics. Proceedings of the 8th an-
nual conference on Computer graphics and interac-
tive techniques, 15(3):307 – 316.
Herbort, S., Grumpe, A., and W
¨
ohler, C. (2011). Re-
construction of non-lambertian surfaces by fusion
of shape from shading and active range scanning.
ICIP’2011, pages 1–4.
Horn, B. K. P. (1970). Shape from shading: A method for
obtaining the shape of a smooth opaque object from
one view. Technical Report 232, Messachusets Insti-
tute of Technology.
Horn, B. K. P. (1989). Height and gradient from shading.
Technical Report 1105A, Massachusetts Institute of
Technology, Artificial Intelligence Laboratory.
Lafortune, E. P. F., Foo, S.-C., Torrance, K. E., and Green-
berg, D. P. (1997). Non-linear approximation of re-
flectance functions. SIGGRAPH’97, pages 117–126.
Lambert, J.-H. (1760). Photometria, sive de mensura et
gradibus luminis, colorum et umbrae. Vidae Eber-
hardi Klett.
Lensch, H. P. A., Kautz, J., Goesele, M., Heidrich, W., and
Seidel, H.-P. (2003). Image-based reconstruction of
spatial appearance and geometric detail. ACM Trans-
actions on Graphics, 22(2):234–257.
Lewis, R. R. (1994). Making shaders more physically plau-
sible. Fourth Eurographics Workshop on Rendering,
pages 47–62.
Matusik, W., Pfister, H., Brand, M., and McMillan, L.
(2003a). A data-driven reflectance model. ACM
Transactions on Graphics, 22(3):759–769.
Matusik, W., Pfister, H., Brand, M., and McMillan, L.
(2003b). Efficient isotropic brdf measurement. ACM
International Conference Proceeding Series (Pro-
ceedings of the 14th Eurographics Workshop on Ren-
dering), 44:241–247.
Mor
´
e, J. J. (1978). Lecture Notes in Mathematics - Nu-
merical Analysis (Proceedings of the Biennial Con-
ference Held at Dundee, volume 630, pages 105–116.
Springer.
Nayar, S. K., Ikeuchi, K., and Kanade, T. (1990). Determin-
ing shape and reflectance of hybrid surfaces by photo-
metric sampling. IEEE Transactions on Robotics and
Automation, 6(1):418–431.
Nehab, D., Rusinkiewicz, S., Davis, J., and Ramamoor-
thi, R. (2005). Efficiently combining positions and
normals for precise 3d geometry. ACM Transactions
on Graphics (Proceedings of ACM SIGGRAPH 2005),
24(3):536–543.
Phong, B. T. (1975). Illumination for computer generated
pictures. Communications of the ACM, 18(6):311 –17.
Wang, Z., Bovik, A. C., Sheikh, H. R., and Simoncelli, E. P.
(2004). Image quality assessment: From error visi-
bility to structural similarity. IEEE Transactions on
Image Processing, 13:600–612.
Ward, G. J. (1992). Measuring and modeling anisotropic
reflection. ACM SIGGRAPH Computer Graphics,
26(2):265–272.
Weyrich, T., Lawrence, J., Lensch, H., Rusinkiewicz, S.,
and Zickler, T. (2008). Principles of appearance ac-
quisition and representation. ACM SIGGRAPH 2008
classes, none:1–70.
W
¨
ohler, C. and d’Angelo, P. (2009). Stereo image analysis
of non-lambertian surfaces. International Jounal of
Computer Vision, 81(2):529–540.
Woodham, R. J. (1980). Photometric method for determin-
ing surface orientation from multiple images. Optical
Engineering, 19(1):139–144.
SELF-CONSISTENT 3D SURFACE RECONSTRUCTION AND REFLECTANCE MODEL ESTIMATION OF
METALLIC SURFACES
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