Abstract
Blurring depth edges and texture copy artifacts are challenging issues for guided depth map upsampling. They are caused by the inconsistency between depth edges and corresponding color edges. In this paper, we extend the well-known Joint Bilateral Upsampling (JBU) (Kopf et al. 2007) with a novel non-convex optimization framework for guided depth map upsampling, which is denoted as Non-Convex JBU (NCJBU). We show that the proposed NCJBU can well handle the edge inconsistency by making use of the property of both the guidance color image and the depth map. Through comprehensive experiments, we show that our NCJBU can preserve sharp depth edges and properly suppress texture copy artifacts. In addition, we present a data driven scheme to properly determine the parameter in our model such that fine details and sharp depth edges are well preserved even for a large upsampling factor (e.g., 8 ×). Experimental results on both simulated and real data show the effectiveness of our method.











Similar content being viewed by others
Notes
Of course, there are plenty of variants of JBU. We just point out a small fraction of them.
References
Buades A, Coll B, Morel J-M (2005) A non-local algorithm for image denoising. In: IEEE conference on computer vision and pattern recognition, vol 2, pp 60–65
Diebel J, Thrun S (2005) An application of Markov random fields to range sensing. In: Proceedings of the advances in neural information processing systems
Farsiu S, Robinson MD, Elad M, Milanfar P (2004) Fast and robust multiframe super resolution. IEEE Trans Image Process 13(10):1327–1344
Ferstl D, Rüther M, Bischof H (2015) Variational depth superresolution using example-based edge representations. In: IEEE international conference on computer vision
Ferstl D, Reinbacher C, Ranftl R, Rüther M, Bischof H (2013) Image guided depth upsampling using anisotropic total generalized variation. In: IEEE international conference on computer vision, pp 993–1000
Gao Y, Wang M, Ji R, Wu X, Dai Q (2014) 3-D object retrieval with Hausdorff distance learning. IEEE Trans Ind Electron 61(4):2088–2098
Hahne U, Alexa M (2011) Exposure Fusion for time-of-flight imaging. Computer graphics forum 30(7):1887–1894
He K, Sun J, Tang X (2013) Guided image filtering. IEEE Trans Pattern Anal Mach Intell 35(6):1397–1409
Hornacek M, Rhemann C, Gelautz M, Rother C (2013) Depth super resolution by rigid body self-similarity in 3D. In: IEEE conference on computer vision and pattern recognition
Huhle B, Schairer T, Jenke P, Straßer W (2008) Robust non-local denoising of colored depth data. In: CVPRW, pp 1–7
Jiang X, Yao H, Zhao S (2017) Text image deblurring via two-tone prior. Neurocomputing 242:1–14
Kiechle M, Hawe S, Kleinsteuber M (2013) A joint intensity and depth co-sparse analysis model for depth map super-resolution. In: IEEE international conference on computer vision, pp 1545–1552
Kopf J, Cohen MF, Lischinski D, Uyttendaele M (2007) Joint bilateral upsampling. In: ACM transactions on graphics, vol 26, p 96
Li J, Lu Z, Zeng G, Gan R, Zha H (2014) Similarity-aware patchwork assembly for depth image super-resolution. In: IEEE conference on computer vision and pattern recognition
Liu M-Y, Tuzel O, Taguchi Y (2013) Joint geodesic upsampling of depth images. In: IEEE conference on computer vision and pattern recognition
Liu W, Chen X, Yang J, Wu Q (2017) Robust color guided depth map restoration. IEEE Trans Image Process 26(1):315–327
Mac Aodha O, Campbell ND, Nair A, Brostow GJ (2012) Patch based synthesis for single depth image super-resolution. In: European conference on computer vision
Park J, Kim H, Tai Y-W, Brown MS, Kweon I (2011) High quality depth map upsampling for 3d-tof cameras. In: IEEE international conference on computer vision
Perona P, Malik J (1990) Scale-space and edge detection using anisotropic diffusion. IEEE Trans Pattern Anal Mach Intell 12(7):629–639
Pizarro L, Mrázek P, Didas S, Grewenig S, Weickert J (2010) Generalised nonlocal image smoothing. Int J Comput Vis 90(1):62–87
Rajagopalan AN, Bhavsar AV, Wallhoff F, Rigoll G (2008) Resolution enhancement of PMD range maps. In: Pattern recognition, 30th DAGM symposium, Munich, Germany, pp 304–313
Schuon S, Theobalt C, Davis J, Thrun S (2009) Lidarboost: depth superresolution for tof 3d shape scanning. In: IEEE conference on computer vision and pattern recognition
Tomasi C, Manduchi R (1998) Bilateral filtering for gray and color images. In: IEEE international conference on computer vision
Yan J, Wang J, Zha H, Yang X, Chu SM (2015) Consistency-driven alternating optimization for multigraph matching: A unified approach. IEEE Trans. Image Processing 24(3):994–1009
Yan J, Cho M, Zha H, Yang X, Chu SM (2016) Multi-graph matching via affinity optimization with graduated consistency regularization. IEEE Trans. Pattern Anal. Mach. Intell. 38(6):1228–1242
Yang J, Ye X, Li K, Hou C (2012) Depth recovery using an adaptive color-guided auto-regressive model. In: European conference on computer vision
Yang J, Ye X, Li K, Hou C, Wang Y (2014) Color-guided depth recovery from rgb-d data using an adaptive autoregressive model. IEEE Trans Image Process 23 (8):3443–3458
Yang Q, Yang R, Davis J, Nistér D (2007) Spatial-depth super resolution for range images. In: IEEE conference on computer vision and pattern recognition
Zhao S, Chen L, Yao H, Zhang Y, Sun X (2015) Strategy for dynamic 3d depth data matching towards robust action retrieval. Neurocomputing 151:533–543
Zhao S, Yao H, Zhang Y, Wang Y, Liu S (2015) View-based 3d object retrieval via multi-modal graph learning. Signal Process 112:110–118
Zimmer H, Bruhn A, Weickert J (2011) Optic flow in harmony. Int J Comput Vis 93(3):368–388
Acknowledgements
This work was supported by the National Key Basic Research and Development Program of China under Grant 2012CB719903, the Science Fund for Creative Research Groups of the National Natural Science Foundation of China under Grant 61221003, the National Natural Science Foundation of China under Grant 41071256, 41571402, the National Science Foundation of China Youth Program under Grant 41101386.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lu, X., Guo, Y., Liu, N. et al. Non-convex joint bilateral guided depth upsampling. Multimed Tools Appl 77, 15521–15544 (2018). https://doi.org/10.1007/s11042-017-5131-x
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-017-5131-x