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Ill-posed problems in early vision
Open accessAbstract
Mathematical results on ill-posed and ill-conditioned problems are reviewed and the formal aspects of regularization theory in the linear case are introduced. Specific topics in early vision and their regularization are then analyzed rigorously, characterizing existence, uniqueness, and stability of solutions. A fundamental difficulty that arises in almost every vision problem is scale, that is, the resolution at which to operate. Methods that have been proposed to deal with the problem include scale-space techniques that consider the behavior of the result across a continuum of scales. From the point of view of regulation theory, the concept of scale is related quite directly to the regularization parameter lambda . It suggested that methods used to obtained the optimal value of lambda may provide, either directly or after suitable modification, the optimal scale associated with the specific instance of certain problems.>
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Variational Mode Decomposition
Dragomiretskiy, K., & Zosso, D. (2014) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2013.2288675 · Cited by 9,184
Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
Hansen, P. C. (1992) · SIAM Review · doi:10.1137/1034115 · Cited by 3,903
Lucas/Kanade Meets Horn/Schunck: Combining Local and Global Optic Flow Methods
Bruhn, A., Weickert, J., & Schnörr, C. (2005) · International Journal of Computer Vision · doi:10.1023/b:visi.0000045324.43199.43 · Cited by 1,160
Using dynamic programming for solving variational problems in vision
Amini, A. A., Weymouth, T. E., & Jain, R. C. (1990) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.57681 · Cited by 1,008
B-spline signal processing. I. Theory
Unser, M., Aldroubi, A., & Eden, M. (1993) · IEEE Transactions on Signal Processing · doi:10.1109/78.193220 · Cited by 940
Metadata
- Authors
- Bertero, M., Poggio, T. A., & Torre, V.
- Venue
- Proceedings of the IEEE
- Published
- 1988
- Volume
- 76
- Issue
- 8
- Pages
- 869-889
- ISSN
- 0018-9219 (ISSN-L)
- OpenAlex
- W2031879798
- Cited by
- 723
- References
- 3
- FWCI
- 30.89
- Type
- journal article
- Language
- en
- Open access
- green
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