A unified approach for inversion problems in intensity-modulated radiation therapy

By Yair Censor, Thomas Bortfeld, B. Martin, A. Trofimov. Physics in Medicine and Biology, 2006

904 citations recorded by the source corpus.

Subfields: Radiation, Radiology, Nuclear Medicine and Imaging

View Paper: https://www.semanticscholar.org/paper/ddaf6736ae9e967317149d4d59304ec3dbd41b84

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Radiation

1. Charles L. Byrne
2. Abdellatif Moudafi
3. Simeon Reich
4. Aviv Gibali
5. Fenghui Wang
6. Yair Censor
7. Patrick L. Combettes

In Radiology, Nuclear Medicine and Imaging

1. Charles L. Byrne
2. Abdellatif Moudafi
3. Simeon Reich
4. Aviv Gibali
5. Fenghui Wang
6. Yair Censor
7. Patrick L. Combettes
8. Nicolas Loizou

Citations in the corpus

• A New Algorithm for Solving The Multiple-Sets Split Feasibility Problem in Banach Spaces (2014, background): “The MSSFP has been widely studied by many authors (see [3, 6, 11, 15, 16, 19, 20, 22, 23]), due to its various real-world applications, such as the inverse problem arising in intensity-modulate radiation therapy [4].”
• Iterative approximation of a common solution of a split generalized equilibrium problem and a fixed point problem for nonexpansive semigroup (2013, background): “SEP (3)-(4) includes the split variational inequality problem, split zero problem, and split feasibility problem (see, for instance, [7-12]).”
• Split Monotone Variational Inclusions (2011, methodology): “had already been used in practice as a model in the intensity-modulation radiation therapy (IMRT) treatment planning, see [6].”
• An iterative method for solving split monotone variational inclusion and fixed point problems (2015, neutral): “In Moudafi [23] it was noted that the SMVIP generalizes the split fixed point problem, split variational inequality problem, split zero problem and split feasibility problem (see, [8–11,22–24]) which have been studied extensively by many authors and applied to solving many real life problems such as”
• Weak and Strong Convergence of Algorithms for the Split Common Null Point Problem (2011, background): “space, and establish weak convergence for one and strong convergence for the other two.”
• Applied Iterative Methods (2007, methodology): “In the sequel [55] this extended CQ algorithm is used to determine dose intensities for intensitymodulated radiation therapy (IMRT) that satisfy both dose constraints and radiation-source constraints.”
• Algorithms for the Split Variational Inequality Problem (2010, methodology): “Originally introduced in Censor and Elfving [14], it was later used in the area of intensity-modulated radiation therapy (IMRT) treatment planning; see [11, 15].”
• A proximal decomposition method for solving convex variational inverse problems (2008, background): “These examples encompass a variety of inverse problems in areas such as signal denoising [25, 44], signal deconvolution [17], Bayesian image recovery [16], intensity-modulated radiation therapy [10, 13], image restoration [5, 6, 15], linear inverse problems with sparsity constraints [24, 29, 32, 48]”
• Cyclic algorithms for split feasibility problems in Hilbert spaces (2011, background): “2) model image retrieval [5] and intensity-modulated radiation therapy [6,7], and have recently been investigated by many researchers [8–18].”
• Solving the split equality problem without prior knowledge of operator norms (2015, background): “In IMRT, this amounts to envisage a weak coupling between the vector of doses absorbed in all voxels and that of the radiation intensity (see [6] for further details).”