Abstract
Reconstructing the 3D shape from single image has become a popular research topic imputed to the end-to-end learning ability of deep convolutional networks. In this paper, we show that, the 3D-2D geometry knowledge can be explicitly incorporated into the deep convolutional network to regularize the reconstruction task. Leveraging recent advances in learned gradient descent, we pass the gradient components directly to the learning network during learning to enable a sequence of update CNNs, which can generate updates to the predicted 3D shape. Hence, we can explicitly regularize the learnable 3D reconstruction with the projective constraint between 2D view and 3D shape. We show that our method can outperform the state-of-the-art results on the ShapeNet test dataset as our network has learned a 2D-3D prior.
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References
Adler, J., Öktem, O.: Solving ill-posed inverse problems using iterative deep neural networks. Inverse Prob. 33(12), 124007 (2017)
Adler, J., Öktem, O.: Learned primal-dual reconstruction. IEEE Trans. Med. Imaging 37(6), 1322–1332 (2018)
Andrychowicz, M., et al.: Learning to learn by gradient descent by gradient descent. In: Advances in Neural Information Processing Systems, pp. 3981–3989 (2016)
Arsalan Soltani, A., Huang, H., Wu, J., Kulkarni, T.D., Tenenbaum, J.B.: Synthesizing 3D shapes via modeling multi-view depth maps and silhouettes with deep generative networks. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 1511–1519 (2017)
Brown, M., Lowe, D.G.: Unsupervised 3D object recognition and reconstruction in unordered datasets. In: Fifth International Conference on 3-D Digital Imaging and Modeling (3DIM 2005), pp. 56–63. IEEE (2005)
Cadena, C., Carlone, L., Carrillo, H., Latif, Y., Scaramuzza, D., Neira, J., Reid, I., Leonard, J.J.: Past, present, and future of simultaneous localization and mapping: toward the robust-perception age. IEEE Trans. Rob. 32(6), 1309–1332 (2016)
Chang, A.X., et al.: ShapeNet: an information-rich 3D model repository. arXiv preprint arXiv:1512.03012 (2015)
Choy, C.B., Xu, D., Gwak, J.Y., Chen, K., Savarese, S.: 3D-R2N2: a unified approach for single and multi-view 3D object reconstruction. In: Leibe, B., Matas, J., Sebe, N., Welling, M. (eds.) ECCV 2016. LNCS, vol. 9912, pp. 628–644. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-46484-8_38
Dai, A., Nießner, M.: Scan2Mesh: from unstructured range scans to 3D meshes. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 5574–5583 (2019)
Engel, J., Schöps, T., Cremers, D.: LSD-SLAM: large-scale direct monocular SLAM. In: Fleet, D., Pajdla, T., Schiele, B., Tuytelaars, T. (eds.) ECCV 2014. LNCS, vol. 8690, pp. 834–849. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-10605-2_54
Fan, H., Su, H., Guibas, L.J.: A point set generation network for 3D object reconstruction from a single image. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 605–613 (2017)
Flynn, J., et al.: Deepview: view synthesis with learned gradient descent. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 2367–2376 (2019)
Geiger, A., Lenz, P., Urtasun, R.: Are we ready for autonomous driving? The KITTI vision benchmark suite. In: 2012 IEEE Conference on Computer Vision and Pattern Recognition, pp. 3354–3361. IEEE (2012)
Gkioxari, G., Malik, J., Johnson, J.: Mesh R-CNN. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 9785–9795 (2019)
Hochreiter, S., Schmidhuber, J.: Long short-term memory. Neural Comput. 9(8), 1735–1780 (1997)
Lowe, D.G.: Distinctive image features from scale-invariant keypoints. Int. J. Comput. Vision 60(2), 91–110 (2004). https://doi.org/10.1023/B:VISI.0000029664.99615.94
Qi, C.R., Su, H., Mo, K., Guibas, L.J.: Pointnet: deep learning on point sets for 3D classification and segmentation. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 652–660 (2017)
Saponaro, P., Sorensen, S., Rhein, S., Mahoney, A.R., Kambhamettu, C.: Reconstruction of textureless regions using structure from motion and image-based interpolation. In: 2014 IEEE International Conference on Image Processing (ICIP), pp. 1847–1851. IEEE (2014)
Shen, W., Jia, Y., Wu, Y.: 3D shape reconstruction from images in the frequency domain. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 4471–4479 (2019)
Snavely, N., Seitz, S.M., Szeliski, R.: Photo tourism: exploring photo collections in 3D. In: ACM SIGGRAPH 2006 Papers, pp. 835–846 (2006)
Tatarchenko, M., Dosovitskiy, A., Brox, T.: Octree generating networks: efficient convolutional architectures for high-resolution 3D outputs. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 2088–2096 (2017)
Ullman, S.: The interpretation of structure from motion. Proc. R. Soc. London. Ser. B. Biol. Sci. 203(1153), 405–426 (1979)
Wang, N., Zhang, Y., Li, Z., Fu, Y., Liu, W., Jiang, Y.-G.: Pixel2Mesh: generating 3D mesh models from single RGB images. In: Ferrari, V., Hebert, M., Sminchisescu, C., Weiss, Y. (eds.) ECCV 2018. LNCS, vol. 11215, pp. 55–71. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-01252-6_4
Yan, X., Yang, J., Yumer, E., Guo, Y., Lee, H.: Perspective transformer nets: learning single-view 3D object reconstruction without 3D supervision. In: Advances in Neural Information Processing Systems, pp. 1696–1704 (2016)
Zhou, T., Tucker, R., Flynn, J., Fyffe, G., Snavely, N.: Stereo magnification: learning view synthesis using multiplane images. arXiv preprint arXiv:1805.09817 (2018)
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This research was partially supported by NSFC (No. 61871074).
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Zhang, G., Yang, L. (2020). Single-View 3D Shape Reconstruction with Learned Gradient Descent. In: Peng, Y., et al. Pattern Recognition and Computer Vision. PRCV 2020. Lecture Notes in Computer Science(), vol 12307. Springer, Cham. https://doi.org/10.1007/978-3-030-60636-7_15
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