Abstract
This paper addresses the 3D reconstruction of non-rigid surfaces deforming isometrically. In fact, this reconstruction process aims at the estimation of isometric 3D surface. To this end, a ToF camera is used with a conventional monocular camera. The goal is to use the high-resolution images from the RGB camera in combination with the low-resolution depth map to enhance the estimation of non-rigid shapes. We describe how to model an isometric surface by means of a triangular mesh. The ToF sensor provides the depth of feature points, which is subsequently used to obtain the depth of the mesh vertices by means of linear programming-based approach. Given the mesh depth data, a second-order cone programming method is then developed to determine the image points of the mesh vertices. Bundle adjustment is then used to isometrically reconstruct the surfaces. Experimental results show that the proposed approach is robust against noise, generating accurate 3D reconstructions despite the low-resolution of the depth images.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Terzopoulos, D., Platt, J., Barr, A., Fleicher, K.: Elastically deformable models. ACM SIGGRAPH (1987)
Pentland, A., Sclaroff, S.: Closed-form solutions for physically based shape modeling and recognition 13(7), 715–729 (1991)
Xiao, J., Kanade, T.: Uncalibrated perspective reconstruction of deformable structures. In: ICCV (2005)
Bartoli, A., Olsen, S.: A batch algorithm for implicit non-rigid shape and motion recovery. In: ICCV Workshop on Dynamical Vision (2005)
Aans, H., Kahl, F.: Estimation of deformable structure and motion. In: Workshop on Vision and Modelling of Dynamic Scenes, ECCV, Denmark (2002)
Del-Bue, A., Llad, X., Agapito, L.: Non-rigid metric shape and motion recovery from uncalibrated images using priors. In: IEEE Conference on Computer Vision and Pattern Recognition, New York (2006)
Gay-Bellile, V., Perriollat, M., Bartoli, A., Sayd, P.: Image registration by combining thin-plate splines with a 3d morphable model. In: International Conference on Image Processing (2006)
Salzmann, M., Hartley, R., Fua, P.: Convex optimization for deformable surface 3-d tracking. In: IEEE International Conference on Computer Vision (2007)
Gumerov, N., Zandifar, A., Duraiswami, R., Davis, L.S.: Structure of applicable surfaces from single views. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3023, pp. 482–496. Springer, Heidelberg (2004)
Prasad, M., Zisserman, A., Fitzgibbon, A.: Single view reconstruction of curved surfaces. In: IEEE Conference on Computer Vision and Pattern Recognition, pp. 1345–1354 (2006)
Perriollat, M., R., Hartley, B.: Monocular template-based reconstruction of inextensible surfaces. International Journal of Computer Vision (2010)
Salzmann, M., Moreno-Noguer, F., Lepetit, V., Fua, P.: Closed-form solution to non-rigid 3D surface registration. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part IV. LNCS, vol. 5305, pp. 581–594. Springer, Heidelberg (2008)
Torresani, L., Hertzmann, A., Bregler, C.: Nonrigid structure-from-motion: Estimating shape and motion with hierarchical priors 30(5), 878–892 (2008)
Metaxas, D., Terzopoulos, D.: Constrained deformable superquadrics and nonrigid motion tracking. PAMI 15, 580–591 (1993)
Diebel, J., Thrun, S.: An application of markov random fields to range sensing. In: Proc. NIPS (2005)
Yang, R., Davis, J., Nister, D.: Spatial-depth super resolution for range images. In: IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2007, Minneapolis, MN, pp. 1–8 (2007)
Hosseini, J., Araujo, H.: Structure from motion - tof-aided 3d reconstruction of isometric surfaces. In: ICPRAM, pp. 544–552 (2014)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Hosseini, S.J., Araujo, H. (2014). 3D Estimation of Isometric Surfaces Using a ToF-Based Approach. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2014. Lecture Notes in Computer Science, vol 8888. Springer, Cham. https://doi.org/10.1007/978-3-319-14364-4_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-14364-4_13
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-14363-7
Online ISBN: 978-3-319-14364-4
eBook Packages: Computer ScienceComputer Science (R0)