Abstract
This paper addresses the problem of shape from shadings under perspective projection and turntable motion.Two-Frame-Theory is a newly proposed method for 3D shape recovery. It estimates shape by solving a first order quasi-linear partial differential equation through the method of characteristics. One major drawback of this method is that it assumes an orthographic camera which limits its application. This paper re-examines the basic idea of the Two-Frame-Theory under the assumption of a perspective camera, and derives a first order quasi-linear partial differential equation for shape recovery under turntable motion. The Dirichlet boundary condition is derived based on Dynamic programming. The proposed method is tested against synthetic and real data. Experimental results show that perspective projection can be used in the framework of Two-Frame-Theory, and competitive results can be achieved.
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References
Basri, R., Frolova, D.: A two-frame theory of motion, lighting and shape. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Anchorage, Alaska, USA, June 24-26, pp. 1–7 (2008)
Jin, H., Cremers, D., Wang, D., Prados, E., Yezzi, A.J., Soatto, S.: 3-d reconstruction of shaded objects from multiple images under unknown illumination. International Journal of Computer Vision 76(3), 245–256 (2008)
Liang, C., Wong, K.-Y.K.: Complex 3d shape recovery using a dual-space approach. In: IEEE Computer Society Conference on Computer Vision and Pattern Recognition, San Diego, CA, USA, June 20-26, pp. 878–884 (2005)
Moses, Y., Shimshoni, I.: 3D shape recovery of smooth surfaces: Dropping the fixed viewpoint assumption. In: Narayanan, P.J., Nayar, S.K., Shum, H.-Y. (eds.) ACCV 2006, Part I. LNCS, vol. 3851, pp. 429–438. Springer, Heidelberg (2006)
Pollefeys, M., Vergauwen, M., Verbiest, F., Cornelis, K., Gool, L.V.: From image sequences to 3d models. In: 3rd International Workshop on Automatic Extraction of Man-made Objects from Aerial and Space Images, pp. 403–410 (2001)
Tankus, A., Kiryati, N.: Photometric stereo under perspective projection. In: 10th IEEE International Conference on Computer Vision, Beijing, China, October 17-20, pp. 611–616 (2005)
Tomasi, C.: Shape and motion from image streams under orthography: a factorization method. International Journal of Computer Vision 9, 137–154 (1992)
Wong, K.-Y.K., Cipolla, R.: Structure and motion from silhouettes. In: 8th International Conference on Computer Vision, Vancouver, British Columbia, Canada, July 7-14, pp. 217–222 (2001)
Woodham, R.: Photometric method for determining surface orientation from multiple images. Optical Engineering 19(1), 139–144 (1980)
Zachmanoglou, E.C., Thoe, D.W.: Introduction to partial differential equations with applications. Dover Publications, New York (1987)
Zhang, L., Curless, B., Hertzmann, A., Seitz, S.M.: Shape and motion under varying illumination: Unifying structure from motion, photometric stereo, and multi-view stereo. In: 9th IEEE International Conference on Computer Vision, Nice, France, October 14-17, pp. 618–625 (2003)
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Liu, M., Wong, KY.K. (2011). Perspective Two-Frame-Theory for Shape Recovery under Turntable Motion. In: Richard, P., Braz, J. (eds) Computer Vision, Imaging and Computer Graphics. Theory and Applications. VISIGRAPP 2010. Communications in Computer and Information Science, vol 229. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25382-9_4
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DOI: https://doi.org/10.1007/978-3-642-25382-9_4
Publisher Name: Springer, Berlin, Heidelberg
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