TY - JOUR
T1 - The entropy weighted non-uniform scanning algorithm for diffraction tomography
AU - Sun, Yu Li
AU - Tao, Jin Xu
AU - Chen, Hao
AU - Liu, Cong Gui
N1 - Publisher Copyright:
© 2015, Science China Press and Springer-Verlag Berlin Heidelberg.
PY - 2015/6/18
Y1 - 2015/6/18
N2 - This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This results in loss of information. We analyze the conditions under which the information lost most. Then, we define the information entropy of each scanning and propose a non-uniform scanning algorithm to maximize the amount of information under conditions of a fixed number of sampling points and scanning angles. The algorithm has five different kinds of the weighting vectors based on different weighting programs. The simulation result supports our hypotheses and indicates that the algorithm proposed in this paper can obviously improve the reconstruction quality.
AB - This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This results in loss of information. We analyze the conditions under which the information lost most. Then, we define the information entropy of each scanning and propose a non-uniform scanning algorithm to maximize the amount of information under conditions of a fixed number of sampling points and scanning angles. The algorithm has five different kinds of the weighting vectors based on different weighting programs. The simulation result supports our hypotheses and indicates that the algorithm proposed in this paper can obviously improve the reconstruction quality.
KW - diffraction tomography
KW - entropy
KW - Fourier diffraction projection theorem
KW - total variation
UR - http://www.scopus.com/inward/record.url?scp=84939939243&partnerID=8YFLogxK
U2 - 10.1007/s11432-014-5235-0
DO - 10.1007/s11432-014-5235-0
M3 - Article
AN - SCOPUS:84939939243
SN - 1674-733X
VL - 58
SP - 1
EP - 13
JO - Science China Information Sciences
JF - Science China Information Sciences
IS - 6
ER -