Abstract
In recent years, geometry-based image and video processing methods have aroused significant interest. This paper considers progress from four aspects: geometric characteristics and shape, geometric transformations, embedded geometric structure, and differential geometry methods. Current research trends are also pointed out.
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Cheng M M, Zhang G X, Niloy J M, Huang X L, Hu S M. Global contrast based salient region detection. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition. 2011, 409–416
Huang T J, Tian Y H, LI J, Yu H N. Salient region detection and segmentation for general object recognition and image understanding. Science China Information Sciences, 2011, 54(12): 2461–2470.
He X, Jing H Y, Han Q, Niu X M. Salient region detection combining spatial distribution and global contrast. Optical Engineering, 2012, 51(4): 3194–3201
Pan B, Zhong F, Wang S, Chen W, Peng Q S. Salient structural elements based texture synthesis. Science China Information Sciences, 2011, 54(6): 1199–1206
Radhakrishna A, Francisco E, Patricia W, Sabine S. Salient region detection and segmentation. In: Proceedings of the 6th International Conference on Computer Vision Systems. 2008, 66–75
Wu K K, Zhang J W. A new method for salient regions detection and segmentation under noisy condition. In: Proceedings of Fourth International Conference on Machine Vision. 2011, 83501S: 1–8
Gao W, Ai H Z, Lao S H. Adaptive contour features in oriented granular space for human detection and segmentation. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition. 2009, 1786–1793
Yang B, Huang C, Nevatia R. Segmentation of objects in a detection window by nonparametric inhomogeneous CRFs. Computer Vision and Image Understanding, 2011, 115(11): 1473–1482
Zhuang Y T, Han Y H, Fei WU, Yang J C. Stable multi-label boosting for image annotation with structural feature selection. Science China Information Sciences, 2011, 54(12): 2508–2521
Cheng M M, Zhang F L, Mitra N J, Huang X L, Hu S M. RepFinder: finding approximately repeated scene elements for image editing. ACM Transactions on Graphics, 2010, 29(4): 83: 1–8
Chen T, Cheng M M, Tan P, Shamir A, Hu S M. Sketch2Photo: internet image montage. ACM Transactions on Graphics, 2009, 28(5): 124: 1–10
Eitz M, Richter R, Hildebrand K, Boubekeur T, Alexa M. Photosketcher: interactive sketch-based image synthesis. IEEE Computer Graphics and Applications, 2011, 31(6): 55–66
Eitz M, Hildebrand K, Boubekeur T, Alexa M. Sketch-based image retrieval: benchmark and bag-of-features descriptors. IEEE Transactions on Visualization and Computer Graphics, 2011, 17(11): 1624–1636
Szanto B, Pozsegovics P, Vamossy Z, Sergyan S. Sketch4Match — content based image retrival system using sketches. In: Proceedings of the 9th IEEE International Symposium on Applied Machine Intelligence and Informatics. 2011, 183–188
Cho T S, Butman M, Avidan S, Freeman W. The patch transform and its applications to image editing. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition. 2008, 1–8
Barnes C, Shechtman E, Finkelstein A, Goldman D B. PatchMatch: a randomized correspondence algorithm for structural image editing. ACM Transactions on Graphics, 2009, 28(3): 24: 1–10.
Darabi S, Shechtman E, Barnes C, Goldman D B, Sen P. Image melding: combining inconsistent images using patch-based synthesis. ACM Transactions on Graphics, 2012, 31(4): 82: 1–10
James F O B, Hany F. Exposing photo manipulation with inconsistent reflections. ACM Transactions on Graphics, 2012, 31(1): 4: 1–11
Eduardo S L G, Manuel MO. Domain transform for edge-aware image and video processing. ACM Transactions on Graphics, 2011, 30(4): 69: 1–11
HaCohen Y, Shechtman E, Goldman D B, Lischinski D. NRDC: nonrigid dense correspondence with applications for image enhancement. ACM Transactions on Graphics, 2011, 30(4): 70: 1–9
Huang C, Ai H Z, Li Y, Lao S H. High-performance rotation invariant multiview face detection. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2007, 29(4): 671–686
Timo Ahonen, Jiri M, Chu H, Matti P. Rotation invariant image description with local binary pattern histogram fourier features. Lecture Notes in Computer Science, 2009, 5575: 61–70
Xiang S J, Kim H J, Huang J W. Invariant image watermarking based on statistical features in the low-frequency domain. IEEE Transactions on Circuits and Systems for Video Technology, 2008, 18(6): 777–790
Shao Z F, Li D R, Zhu X Q. A multi-scale and multi-orientation image retrieval method based on rotation-invariant texture features. Science China Information sciences, 2011, 54(4): 732–744
Wang Y P, Hu S M. A new watermarking method for 3D model based on integral invariant. IEEE Transactions on Visualization and Computer Graphics, 2009, 15(2): 285–294
Zhang G X, Cheng M M, Hu S M, Martin R R. A shape-preserving approach to image resizing. Computer Graphics Forum, 2009, 28(7): 1897–1906
Wang D, Li G Q, Jia W J, Luo X N. Saliency-driven scaling optimization for image retargeting. The Visual Computer, 2011, 27(9): 853–860
Zhang Y F, Hu S M, Martin R R. Shrinkability maps for content-aware video resizing. Computer Graphics Forum, 2008, 27(7): 1797–1804
Xu K, Li Y, Ju T, Hu S M, Liu T Q. Efficient affinity-based edit propagation using K-D tree. ACM Transactions on Graphics, 2009, 28(5): 118: 1–6
Lai Y K, Hu S M, Martin R R. Automatic and topology-treserving gradient mesh generation for image vectorization. ACM Transactions on Graphics, 2009, 28(3): 85: 1–8
Li X M, Zhang C M, Yue Y Z, Wang K P. Cubic surface fitting to image by combination. Science China Information Sciences, 2010, 53(7): 1287–1295
Thakoor N, Gao J, Jung S. Embedded planar surface segmentation system for stereo images. Machine Vision and Applications, 2010, 21(2): 189–199
Zhou S Z, Fu H B, Liu L G, Daniel C O, Han X G. Parametric reshaping of human bodies in images. ACM Transactions on Graphics, 2010, 29(4): 126: 1–10
Han D F, Sonka M, Bayouth J, Wu X D. Optimal multiple-seams search for image resizing with smoothness and shape prior. The Visual Computer, 2010, 26(6–8): 749–759
Li M. A fast algorithm for color image enhancement with total variation regularization. Science China Information Sciences, 2010, 53(9): 1913–1916
Laurence L S, Darbon J, Smith E H B. Enhancement of historical printed document images by combining total variation regularization and Non-local Means filtering. Image and Vision Computing, 2011, 29(5): 351–363
Wu C L, Zhang J Y, Duan Y P, Tai X C. Augmented lagrangian method for total variation based image restoration and segmentation over triangulated surfaces. Journal of Scientific Computing, 2012, 50(1): 145–166
Cong L, Tong R F, Dong J X. Selective image abstraction. The Visual Computer, 2011, 27(3): 187–198
Fu S J, Zhang C M. Adaptive bidirectional diffusion for image restoration. Science China Information Sciences, 2010, 53(12): 2452–2460
Ding M, Tong R F. Content-aware copying and pasting in images. The Visual Computer, 2010, 26(6–8): 721–729
Zhang Y, Tong R F. Environment-sensitive cloning in images. The Visual Computer, 2011, 27(6–8): 739–748
Du H, Jin X G. Object cloning using constrained mean value interpolation. The Visual Computer, 2012, Online First.
Summa B, Scorzelli G, Jiang M, Bremer P T, Pascucci V. Interactive editing of massive imagery made simple: turning atlanta into atlantis. ACM Transactions on Graphics, 2011, 30(2): 7: 1–13
Yang Lei, Sander P V, Lawrence J, Hoppe H. Antialiasing recovery. ACM Transactions on Graphics, 2011, 30(3): 22: 1–9
Fu S J, Zhang C M, Tai X C. Image denoising and deblurring: nonconvex regularization, inverse diffusion and shock filter. Science China Information Sciences, 2011, 54(6): 1184–1198
Annadhason A. Fractal geometry in image processing. International Journal of Research in Management and Technology, 2012, 2(1): 110–114
Fisher Y. Fractal Image Compression: Theory and Application. Berlin, Germany: Springer-Verlag, 1995.
Gu F C, Chang H C, Chen F H, Kuo C C. Partial discharge pattern recognition of power cable joints using extension method with fractal feature enhancement. Expert Systems with Applications, 2012, 39(3): 2804–2812
Blackledge M, Dubovitskiy D A. Texture classification using fractal geometry for the diagnosis of skin cancers. In: Proceedings of the 7th Theory and Practice of Computer Graphics Conference. 2009, 41–48
Li J J, Zhang C M, Fan H, Yuan D. Image inpainting algorithm based on fractal theory. Acta Electronica sinica, 2010, 38(10): 2430–2435
Xiao J X, Fang T, Tan P, Zhao P, Ofek E, Quan L. Image-based facade modeling. ACM Transactions on Graphics, 2008, 27(5): 161: 1–10
Chen J W. The video mesh: a data structure for image-based three-dimensional video editing. In: Proceedings of IEEE International Conference on Computational Photography (ICCP11). 2011, 1–8
Lipski C, Linz C, Berger K, Sellent A, Magnor M. Virtual video camera: image-based viewpoint navigation through space and time. Computer Graphics Forum, 2010, 29(8): 2555–2568
Zhao R Z, Liu X Y, Li C C, Robert J S, Sun M G. Wavelet denoising via sparse representation. Science China Information Sciences, 2009, 52(8): 1371–1377
Preety D S, Alok J. Segmentation based combined wavelet-curvelet approach for image denoising. International Journal of Information Engineering. 2012, 2(1): 32–37
Yang L, Guo B L, NiW. Multimodality medical image fusion based on multiscale geometric analysis of contourlet transform. Neurocomputing, 2008, 72(1–3): 203–211
Chougdali K. Contourlet feature based kernel relevance weighted discriminant analysis for face recognition. In: Proceedings of International Conference on Multimedia Computing and Systems (ICMCS09). 2009, 268–272
Chena G, Haya G J, Castillaa G, Benoit S O, Powersa R. A multiscale geographic object-based image analysis to estimate lidar-measured forest canopy height using Quickbird imagery. International Journal of Geographical Information Science, 2011, 25(6): 877–893
Bakshi S, Mehrotra H, Majhi B. Real-time iris segmentation based on image morphology. In: Proceedings of the 2011 International Conference on Communication, Computing and Security. 2011, 335–338
Annadurai S, Sundaresan M. Wavelet based color image compression using vector quantization and morphology. In: Proceedings of the International Conference on Advances in Computing, Communication and Control. 2009, 391–396
Habash N, Roth R M. Using deep morphology to improve automatic error detection in Arabic handwriting recognition. In: Proceedings of the 49th Annual Meeting of the Association for Computational Linguistics: Human Language Technologies. 2011, 875–884
Yeniterzi R. Exploiting morphology in Turkish named entity recognition system. In: Proceedings of the ACL 2011 Student Session. 2011, 105–110
Shi Y H. Realistic mesh compression based on geometry image. In: Proceedings of Picture Coding Symposium (PCS). 2012, 133–136
Vetro A, Tourapis A M, Muller K, Chen T. 3D-TV content storage and transmission. IEEE Transactions on Broadcasting, 2011, 57(2): 384–394
Chew B S. Spectral geometry image: image based 3D models for digital broadcasting applications. IEEE Transactions on Broadcasting, 2011, 57(3): 636–645
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Jinjiang Li received his PhD degree from Shandong University in 2010. He is a postdoctor at Tsinghua University. His research interests include computer graphics, image processing, and geometry-based modeling and rendering.
Hanyi Ge is a professor in Science and Technology on Complex Systems Simulation Laboratory, Beijing. Her research areas include complex systems simulation, image and video processing, and virtual reality.
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Li, J., Ge, H. New progress in geometric computing for image and video processing. Front. Comput. Sci. 6, 769–775 (2012). https://doi.org/10.1007/s11704-012-2910-4
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DOI: https://doi.org/10.1007/s11704-012-2910-4