- Previous Article
- IPI Home
- This Issue
-
Next Article
A local information based variational model for selective image segmentation
PHLST with adaptive tiling and its application to antarctic remote sensing image approximation
1. | College of Global Change and Earth System Science, Beijing Normal University, Beijing, 100875, China |
2. | Department of Mathematics, University of California, Davis, California, 95616, United States |
References:
[1] |
A. Averbuch, M. Israeli and L. Vozovoi, A fast Poisson solver of arbitrary order accuracy in rectangular regions, SIAM J. Sci. Comput., 19 (1998), 933-952.
doi: 10.1137/S1064827595288589. |
[2] |
E. Braverman, M. Israeli, A. Averbuch and L. Vozovoi, A fast 3D Poisson solver of arbitrary order accuracy, J. Comput. Phys., 144 (1998), 109-136.
doi: 10.1006/jcph.1998.6001. |
[3] |
J. F. Canny, A computational approach to edge detection, IEEE Trans. Pattern Anal. Machine Intell., 8 (1986), 679-698.
doi: 10.1109/TPAMI.1986.4767851. |
[4] |
R. A. DeVore and V. N. Temlyakov, Nonlinear approximation by trigonometric sums, J. Fourier Anal. Appl., 2 (1995), 29-48.
doi: 10.1007/s00041-001-4021-8. |
[5] |
R. R. Coifman and Y. Meyer, Remarques sur l'analyse de Fourier à fenêtre, Comptes Rendus Acad. Sci. Paris, Serie I, 312 (1991), 259-261. |
[6] |
J. S. Lim, Two-Dimensional Signal and Image Processing, Prentice Hall, Englewood Cliffs, NJ, 1990. |
[7] |
G. G. Lorentz, Approximation of Functions, 2nd Ed., Chelsea Pub. Co., New York, 1986.
doi: 10.2307/2008020. |
[8] |
H. S. Malvar, Lapped transforms for efficient transform/subband coding, IEEE Trans. Acoust., Speech, Signal Process., 38 (1990), 969-978.
doi: 10.1109/29.56057. |
[9] |
H. S. Malvar and D. H. Staelin, The LOT: Transform coding without blocking effects, IEEE Trans. Acoust., Speech, Signal Process., 37 (1989), 553-559.
doi: 10.1109/29.17536. |
[10] |
J. R. Parker, Algorithms for Image Processing and Computer Vision, John Wiley & Sons, Inc., New York, 1997. |
[11] |
N. Saito and J.-F. Remy, The polyharmonic local sine transform: A new tool for local image analysis and synthesis without edge effect, Appl. Comput. Harmon. Anal., 20 (2006), 41-73.
doi: 10.1016/j.acha.2005.01.005. |
[12] |
G. Strang, The discrete cosine transform, SIAM Review, 41 (1999), 135-147.
doi: 10.1137/S0036144598336745. |
[13] |
A. F. Timan, Theory of Approximation of Functions of a Real Variable, Macmillan, New York, 1963. |
[14] |
A. Zygmund, Trigonometric Series, 3rd Edition, Cambridge University Press, 2003.
doi: 10.2307/1989363. |
show all references
References:
[1] |
A. Averbuch, M. Israeli and L. Vozovoi, A fast Poisson solver of arbitrary order accuracy in rectangular regions, SIAM J. Sci. Comput., 19 (1998), 933-952.
doi: 10.1137/S1064827595288589. |
[2] |
E. Braverman, M. Israeli, A. Averbuch and L. Vozovoi, A fast 3D Poisson solver of arbitrary order accuracy, J. Comput. Phys., 144 (1998), 109-136.
doi: 10.1006/jcph.1998.6001. |
[3] |
J. F. Canny, A computational approach to edge detection, IEEE Trans. Pattern Anal. Machine Intell., 8 (1986), 679-698.
doi: 10.1109/TPAMI.1986.4767851. |
[4] |
R. A. DeVore and V. N. Temlyakov, Nonlinear approximation by trigonometric sums, J. Fourier Anal. Appl., 2 (1995), 29-48.
doi: 10.1007/s00041-001-4021-8. |
[5] |
R. R. Coifman and Y. Meyer, Remarques sur l'analyse de Fourier à fenêtre, Comptes Rendus Acad. Sci. Paris, Serie I, 312 (1991), 259-261. |
[6] |
J. S. Lim, Two-Dimensional Signal and Image Processing, Prentice Hall, Englewood Cliffs, NJ, 1990. |
[7] |
G. G. Lorentz, Approximation of Functions, 2nd Ed., Chelsea Pub. Co., New York, 1986.
doi: 10.2307/2008020. |
[8] |
H. S. Malvar, Lapped transforms for efficient transform/subband coding, IEEE Trans. Acoust., Speech, Signal Process., 38 (1990), 969-978.
doi: 10.1109/29.56057. |
[9] |
H. S. Malvar and D. H. Staelin, The LOT: Transform coding without blocking effects, IEEE Trans. Acoust., Speech, Signal Process., 37 (1989), 553-559.
doi: 10.1109/29.17536. |
[10] |
J. R. Parker, Algorithms for Image Processing and Computer Vision, John Wiley & Sons, Inc., New York, 1997. |
[11] |
N. Saito and J.-F. Remy, The polyharmonic local sine transform: A new tool for local image analysis and synthesis without edge effect, Appl. Comput. Harmon. Anal., 20 (2006), 41-73.
doi: 10.1016/j.acha.2005.01.005. |
[12] |
G. Strang, The discrete cosine transform, SIAM Review, 41 (1999), 135-147.
doi: 10.1137/S0036144598336745. |
[13] |
A. F. Timan, Theory of Approximation of Functions of a Real Variable, Macmillan, New York, 1963. |
[14] |
A. Zygmund, Trigonometric Series, 3rd Edition, Cambridge University Press, 2003.
doi: 10.2307/1989363. |
[1] |
Min-Fan He, Li-Ning Xing, Wen Li, Shang Xiang, Xu Tan. Double layer programming model to the scheduling of remote sensing data processing tasks. Discrete and Continuous Dynamical Systems - S, 2019, 12 (4&5) : 1515-1526. doi: 10.3934/dcdss.2019104 |
[2] |
A Voutilainen, Jari P. Kaipio. Model reduction and pollution source identification from remote sensing data. Inverse Problems and Imaging, 2009, 3 (4) : 711-730. doi: 10.3934/ipi.2009.3.711 |
[3] |
Zhenzhen Wang, Hao Dong, Zhehao Huang. Carbon spot prices in equilibrium frameworks associated with climate change. Journal of Industrial and Management Optimization, 2021 doi: 10.3934/jimo.2021214 |
[4] |
Manoj Atolia, Prakash Loungani, Helmut Maurer, Willi Semmler. Optimal control of a global model of climate change with adaptation and mitigation. Mathematical Control and Related Fields, 2022 doi: 10.3934/mcrf.2022009 |
[5] |
Betseygail Rand, Lorenzo Sadun. An approximation theorem for maps between tiling spaces. Discrete and Continuous Dynamical Systems, 2011, 29 (1) : 323-326. doi: 10.3934/dcds.2011.29.323 |
[6] |
Linfei Wang, Dapeng Tao, Ruonan Wang, Ruxin Wang, Hao Li. Big Map R-CNN for object detection in large-scale remote sensing images. Mathematical Foundations of Computing, 2019, 2 (4) : 299-314. doi: 10.3934/mfc.2019019 |
[7] |
Graciela Canziani, Rosana Ferrati, Claudia Marinelli, Federico Dukatz. Artificial neural networks and remote sensing in the analysis of the highly variable Pampean shallow lakes. Mathematical Biosciences & Engineering, 2008, 5 (4) : 691-711. doi: 10.3934/mbe.2008.5.691 |
[8] |
Qian Zhao, Bitao Jiang, Xiaogang Yu, Yue Zhang. Collaborative mission optimization for ship rapid search by multiple heterogeneous remote sensing satellites. Journal of Industrial and Management Optimization, 2022, 18 (4) : 2805-2826. doi: 10.3934/jimo.2021092 |
[9] |
Xuefeng Zhang, Hui Yan. Image enhancement algorithm using adaptive fractional differential mask technique. Mathematical Foundations of Computing, 2019, 2 (4) : 347-359. doi: 10.3934/mfc.2019022 |
[10] |
Yonggui Zhu, Yuying Shi, Bin Zhang, Xinyan Yu. Weighted-average alternating minimization method for magnetic resonance image reconstruction based on compressive sensing. Inverse Problems and Imaging, 2014, 8 (3) : 925-937. doi: 10.3934/ipi.2014.8.925 |
[11] |
Samuel Amstutz, Antonio André Novotny, Nicolas Van Goethem. Minimal partitions and image classification using a gradient-free perimeter approximation. Inverse Problems and Imaging, 2014, 8 (2) : 361-387. doi: 10.3934/ipi.2014.8.361 |
[12] |
Florian Bossmann, Jianwei Ma. Enhanced image approximation using shifted rank-1 reconstruction. Inverse Problems and Imaging, 2020, 14 (2) : 267-290. doi: 10.3934/ipi.2020012 |
[13] |
Michael Hintermüller, Monserrat Rincon-Camacho. An adaptive finite element method in $L^2$-TV-based image denoising. Inverse Problems and Imaging, 2014, 8 (3) : 685-711. doi: 10.3934/ipi.2014.8.685 |
[14] |
Victor Churchill, Rick Archibald, Anne Gelb. Edge-adaptive $ \ell_2 $ regularization image reconstruction from non-uniform Fourier data. Inverse Problems and Imaging, 2019, 13 (5) : 931-958. doi: 10.3934/ipi.2019042 |
[15] |
Rafael De La Llave, A. Windsor. An application of topological multiple recurrence to tiling. Discrete and Continuous Dynamical Systems - S, 2009, 2 (2) : 315-324. doi: 10.3934/dcdss.2009.2.315 |
[16] |
S. Eigen, V. S. Prasad. Tiling Abelian groups with a single tile. Discrete and Continuous Dynamical Systems, 2006, 16 (2) : 361-365. doi: 10.3934/dcds.2006.16.361 |
[17] |
Ka Kit Tung. Simple climate modeling. Discrete and Continuous Dynamical Systems - B, 2007, 7 (3) : 651-660. doi: 10.3934/dcdsb.2007.7.651 |
[18] |
Inez Fung. Challenges of climate modeling. Discrete and Continuous Dynamical Systems - B, 2007, 7 (3) : 543-551. doi: 10.3934/dcdsb.2007.7.543 |
[19] |
Susanna V. Haziot. Study of an elliptic partial differential equation modelling the Antarctic Circumpolar Current. Discrete and Continuous Dynamical Systems, 2019, 39 (8) : 4415-4427. doi: 10.3934/dcds.2019179 |
[20] |
Graeme Wake, Anthony Pleasants, Alan Beedle, Peter Gluckman. A model for phenotype change in a stochastic framework. Mathematical Biosciences & Engineering, 2010, 7 (3) : 719-728. doi: 10.3934/mbe.2010.7.719 |
2020 Impact Factor: 1.639
Tools
Metrics
Other articles
by authors
[Back to Top]