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Multivalued Discrete Tomography Using Dynamical System That Describes Competition
Joint Authors
Ueta, Tetsushi
Kojima, Takeshi
Yoshinaga, Tetsuya
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-12
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Multivalued discrete tomography involves reconstructing images composed of three or more gray levels from projections.
We propose a method based on the continuous-time optimization approach with a nonlinear dynamical system that effectively utilizes competition dynamics to solve the problem of multivalued discrete tomography.
We perform theoretical analysis to understand how the system obtains the desired multivalued reconstructed image.
Numerical experiments illustrate that the proposed method also works well when the number of pixels is comparatively high even if the exact labels are unknown.
American Psychological Association (APA)
Kojima, Takeshi& Ueta, Tetsushi& Yoshinaga, Tetsuya. 2017. Multivalued Discrete Tomography Using Dynamical System That Describes Competition. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1192219
Modern Language Association (MLA)
Kojima, Takeshi…[et al.]. Multivalued Discrete Tomography Using Dynamical System That Describes Competition. Mathematical Problems in Engineering No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1192219
American Medical Association (AMA)
Kojima, Takeshi& Ueta, Tetsushi& Yoshinaga, Tetsuya. Multivalued Discrete Tomography Using Dynamical System That Describes Competition. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1192219
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192219