![](bgb.png)
erence face shape. IEEE transactions on pattern anal-
ysis and machine intelligence, 33(2):394–405.
Klasing, K., Althoff, D., Wollherr, D., and Buss, M. (2009).
Comparison of surface normal estimation methods for
range sensing applications. In 2009 IEEE Interna-
tional Conference on Robotics and Automation, pages
3206–3211. IEEE.
Kovesi, P. (2005). Shapelets correlated with surface nor-
mals produce surfaces. In Tenth IEEE International
Conference on Computer Vision (ICCV’05) Volume 1,
volume 2, pages 994–1001. IEEE.
Lin, T.-Y., Maire, M., Belongie, S., Hays, J., Perona, P.,
Ramanan, D., Doll
´
ar, P., and Zitnick, C. L. (2014).
Microsoft coco: Common objects in context. In Euro-
pean conference on computer vision, pages 740–755.
Springer.
Lun, Z., Gadelha, M., Kalogerakis, E., Maji, S., and Wang,
R. (2017). 3d shape reconstruction from sketches via
multi-view convolutional networks. In 2017 Interna-
tional Conference on 3D Vision (3DV), pages 67–77.
IEEE.
Qiu, J., Cui, Z., Zhang, Y., Zhang, X., Liu, S., Zeng, B., and
Pollefeys, M. (2019). Deeplidar: Deep surface normal
guided depth prediction for outdoor scene from sparse
lidar data and single color image. In Proceedings of
the IEEE Conference on Computer Vision and Pattern
Recognition, pages 3313–3322.
Qu
´
eau, Y. and Durou, J.-D. (2015). Edge-preserving inte-
gration of a normal field: Weighted least-squares, tv
and lˆ 1 approaches. In International Conference on
Scale Space and Variational Methods in Computer Vi-
sion, pages 576–588. Springer.
Qu
´
eau, Y., Durou, J.-D., and Aujol, J.-F. (2018). Normal in-
tegration: a survey. Journal of Mathematical Imaging
and Vision, 60(4):576–593.
Richardson, E., Sela, M., Or-El, R., and Kimmel, R.
(2017). Learning detailed face reconstruction from a
single image. In Proceedings of the IEEE Conference
on Computer Vision and Pattern Recognition, pages
1259–1268.
Ronneberger, O., Fischer, P., and Brox, T. (2015). U-net:
Convolutional networks for biomedical image seg-
mentation. In International Conference on Medical
image computing and computer-assisted intervention,
pages 234–241. Springer.
Sela, M., Richardson, E., and Kimmel, R. (2017). Unre-
stricted facial geometry reconstruction using image-
to-image translation. arxiv.
Simchony, T., Chellappa, R., and Shao, M. (1990). Di-
rect analytical methods for solving poisson equations
in computer vision problems. IEEE transactions on
pattern analysis and machine intelligence, 12(5):435–
446.
Su, W., Du, D., Yang, X., Zhou, S., and Fu, H. (2018). Inter-
active sketch-based normal map generation with deep
neural networks. Proceedings of the ACM on Com-
puter Graphics and Interactive Techniques, 1(1):22.
Sumner, R. W., Schmid, J., and Pauly, M. (2007). Em-
bedded deformation for shape manipulation. In ACM
Transactions on Graphics (TOG), volume 26, page 80.
ACM.
Terzopoulos, D. (1988). The computation of visible-surface
representations. IEEE Transactions on Pattern Analy-
sis & Machine Intelligence, (4):417–438.
Thies, J., Zollhofer, M., Stamminger, M., Theobalt, C., and
Nießner, M. (2016). Face2face: Real-time face cap-
ture and reenactment of rgb videos. In Proceedings of
the IEEE Conference on Computer Vision and Pattern
Recognition, pages 2387–2395.
Tran, A. T., Hassner, T., Masi, I., and Medioni, G. (2017).
Regressing robust and discriminative 3d morphable
models with a very deep neural network. In Computer
Vision and Pattern Recognition (CVPR), 2017 IEEE
Conference on, pages 1493–1502. IEEE.
Trigeorgis, G., Snape, P., Zafeiriou, S., and Kokkinos, I.
(2017). Normal Estimation For ”in-the-wild” Faces
Using Fully Convolutional Networks. In Computer
Vision and Pattern Recognition (CVPR).
Wang, X., Fouhey, D., and Gupta, A. (2015). Designing
deep networks for surface normal estimation. In Pro-
ceedings of the IEEE Conference on Computer Vision
and Pattern Recognition, pages 539–547.
Wang, Y., Bu, J., Li, N., Song, M., and Tan, P. (2012). De-
tecting discontinuities for surface reconstruction. In
Proceedings of the 21st International Conference on
Pattern Recognition (ICPR2012), pages 2108–2111.
IEEE.
Xie, W., Wang, M., Wei, M., Jiang, J., and Qin, J. (2019).
Surface reconstruction from normals: A robust dgp-
based disconti-nuity preservation approach. In Pro-
ceedings of the IEEE Conference on Computer Vision
and Pat-tern Recognition, pages 5328–5336.
Yin, L., Wei, X., Sun, Y., Wang, J., and Rosato, M. J.
(2006). A 3d facial expression database for facial
behavior research. In 7th international conference
on automatic face and gesture recognition (FGR06),
pages 211–216. IEEE.
Zhu, X., Lei, Z., Yan, J., Yi, D., and Li, S. Z. (2015). High-
fidelity pose and expression normalization for face
recognition in the wild. In Proceedings of the IEEE
Conference on Computer Vision and Pattern Recogni-
tion, pages 787–796.
Zollh
¨
ofer, M., Martinek, M., Greiner, G., Stamminger, M.,
and S
¨
ußmuth, J. (2011). Automatic reconstruction of
personalized avatars from 3d face scans. Computer
Animation and Virtual Worlds, 22(2-3):195–202.
Monocular 3D Head Reconstruction via Prediction and Integration of Normal Vector Field
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