Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Yair Censor"'
Publikováno v:
Frontiers in Oncology, Vol 13 (2023)
ObjectiveWe apply the superiorization methodology to the constrained intensity-modulated radiation therapy (IMRT) treatment planning problem. Superiorization combines a feasibility-seeking projection algorithm with objective function reduction: The u
Externí odkaz:
https://doaj.org/article/15cf189189454984845c25a92ee73f22
Autor:
Yair Censor, Tommy Elfving
Publikováno v:
Abstract and Applied Analysis, Vol 2003, Iss 7, Pp 387-406 (2003)
A definition of oblique projections onto closed convex sets that use seminorms induced by diagonal matrices which may have zeros on the diagonal is introduced. Existence and uniqueness of such projections are secured via directional affinity of the s
Externí odkaz:
https://doaj.org/article/1b83870b38a84ddd8339fed08068f911
Autor:
Yair Censor, Eliahu Levy
We present an abstract framework for asymptotic analysis of convergence based on the notions of eventual families of sets that we define. A family of subsets of a given set is called here an "eventual family" if it is upper hereditary with respect to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::278d4352e26c1d4df3b1dec7c79d2ec1
http://arxiv.org/abs/2203.02972
http://arxiv.org/abs/2203.02972
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
The superiorization methodology is intended to work with input data of constrained minimization problems, that is, a target function and a set of constraints. However, it is based on an antipodal way of thinking to what leads to constrained minimizat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8bbac2887f1ab967862be841721ce832
https://doi.org/10.1007/s11075-020-01038-w
https://doi.org/10.1007/s11075-020-01038-w
Publikováno v:
IEEE Trans Med Imaging
Previous work has shown that total variation superiorization (TVS) improves reconstructed image quality in proton computed tomography (pCT). The structure of the TVS algorithm has evolved since then and this paper investigated if this new algorithmic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ea7c1e69602b6f7446f4339fff1840c
https://doi.org/10.1109/tmi.2019.2911482
https://doi.org/10.1109/tmi.2019.2911482
The block-iterative projections (BIP) method of Aharoni and Censor [Block-iterative projection methods for parallel computation of solutions to convex feasibility problems, Linear Algebra and its Applications 120, (1989), 165--175] is an iterative pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba440c556ce5348c159b5e5c6bd7ae4c
Publikováno v:
RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)
Universidad de Alicante (UA)
In this paper we study the split minimization problem that consists of two constrained minimization problems in two separate spaces that are connected via a linear operator that maps one space into the other. To handle the data of such a problem we d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fc3226fad0a78cb1b82ef1397ec5a01
http://hdl.handle.net/10045/129106
http://hdl.handle.net/10045/129106
Autor:
Andrzej Cegielski, Yair Censor
We consider a Hilbert space that is a product of a finite number of Hilbert spaces and operators that are represented by "componental operators" acting on the Hilbert spaces that form the product space. We attribute operatorial properties to the comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8583680ae63d973e6e1e4c3d0cb9156
http://arxiv.org/abs/2111.02830
http://arxiv.org/abs/2111.02830
We summarize recent results and ongoing activities in mathematical algorithms and computer science methods related to proton computed tomography (pCT) and intensity-modulated particle therapy (IMPT) treatment planning. Proton therapy necessitates a h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76337fe1c84916ee60b88f2a138d2339
http://arxiv.org/abs/2108.09459
http://arxiv.org/abs/2108.09459
Autor:
Yair Censor, Eliahu Levy
Publikováno v:
Applied Mathematics & Optimization. 83:2273-2301
The superiorization methodology is intended to work with input data of constrained minimization problems, i.e., a target function and a constraints set. However, it is based on an antipodal way of thinking to the thinking that leads constrained minim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d284abc485e4076ccd347cc190df17f1
https://doi.org/10.1007/s00245-019-09628-4
https://doi.org/10.1007/s00245-019-09628-4