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Discrete tomography : foundations, algorithms, and applications
Gabor T. Herman,Attila Kuba +1 more
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In this paper, Kuba, Gabor T. Herman, Eilat Vardi, and Cun-Hui Zhang present an algebraic solution for Discrete Tomography.Abstract:
Preface Contributors Part I. Foundations Discrete Tomography: A Historical Overview \ Attila Kuba, Gabor T. Herman Sets of Uniqueness and Additivity in Integer Lattices \ Peter C. Fishburn, Lawrence A. Shepp Tomopgraphic Equivalence and Switching Operations \ T. Yung Kong, Gabor T. Herman Uniqueness and Complexity in Discrete Tomography \ Richard J. Gardner, Peter Gritzmann Reconstruction of Plane Figures from Two Projections \ Akira Kaneko, Lei Huang Reconstruction of Two-Valued Functions and Matrices \ Attila Kuba Reconstruction of Connected Sets from Two Projections \ Alberto Del Lungo, Maurice Nivat Part II. Algorithms Binary Tomography Using Gibbs Priors \ Samuel Matej, Avi Vardi, Gabor T. Herman, Eilat Vardi Probabilistic Modeling of Discrete Images \ Michael T. Chan, Gabor T. Herman, Emanuel Levitan Multiscale Bayesian Methods for Discrete Tomography \ Thomas Frese, Charles A. Bouman, Ken Sauer An Algebraic Solution for Discrete Tomography \ Andrew E. Yagle Binary Steering of Nonbinary Iterative Algorithms \ Yair Censor, Samuel Matej Reconstruction of Binary Images via the EM Algorithm \ Yehuda Vardi, Cun-Hui Zhang Part III. Applications CT-Assisted Engineering and Manufacturing \ Jolyon A. Browne, Mathew Koshy 3D Reconstruction from Sparse Radiographic Data \ James Sachs, Jr., Ken Sauer Heart Chamber Reconstruction from Biplane Angiography \ Dietrich G.W. Onnasch, Guido P.M. Prause Discrete Tomography in Electron Microscopy \ J.M. Carazo, C.O. Sorzano, E. Rietzel, R. Schroeder, R. Marabini Tomopgraphy on the 3D-Torus and Crystals \ Pablo M. Salzberg, Raul Figueroa A Recursive Algorithm for Diffuse Planar Tomography \ Sarah K. Patch From Orthogonal Projections to Symbolic Projections \ Shi-KuoChang Indexread more
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Journal ArticleDOI
DART: A Practical Reconstruction Algorithm for Discrete Tomography
Kees Joost Batenburg,Jan Sijbers +1 more
TL;DR: An iterative reconstruction algorithm for discrete tomography, called discrete algebraic reconstruction technique (DART), which is capable of computing more accurate reconstructions from a small number of projection images, or from asmall angular range, than alternative methods.
Journal ArticleDOI
3D imaging of nanomaterials by discrete tomography.
Kees Joost Batenburg,Sara Bals,Jan Sijbers,Christian Kübel,Paul A. Midgley,J. C. Hernandez,Ute Kaiser,Ezequiel Roberto Encina,Eduardo A. Coronado,G. Van Tendeloo +9 more
TL;DR: The basic principles of DART are described and it is shown that it can be applied successfully to three different types of samples, consisting of embedded ErSi(2) nanocrystals, a carbon nanotube grown from a catalyst particle and a single gold nanoparticle, respectively.
BookDOI
Advances in discrete tomography and its applications
Gabor T. Herman,Attila Kuba +1 more
TL;DR: A. Kuba and G.T. Herman Discrete point X-ray (DPT) reconstruction as discussed by the authors is a well-known technique in the field of discrete tomography.
Book
Digital geometry
Azriel Rosenfeld,Reinhard Klette +1 more
TL;DR: Questions of particular interest include how images and image subsets are digitized; how geometric properties are defined for digitized sets; the computational complexity of computing them--in particular, whether they can be computed using simple (e.g., local) operations; characterizing image operations that preserve them; and characterizing digital objects that could be the digitizations of real objects that have given geometric properties.
Journal ArticleDOI
Review of Terahertz Tomography Techniques
Jean-Paul Guillet,Benoit Recur,Louis Frederique,Bruno Bousquet,Lionel Canioni,Inka Manek-Hönninger,Pascal Desbarats,Patrick Mounaix +7 more
TL;DR: In this paper, the principles of tomography for terahertz Computed tomography (CT), tomosynthesis (TS), synthetic aperture radar (SAR), and time-of-flight (TOF) tomography are established.