Accelerated Direct Demodulation Imaging Method

SHEN Zong-Jun; ZHOU Jian-Feng

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2007, Vol. 31> Issue(11) : 1016-1021

Accelerated Direct Demodulation Imaging Method

SHEN Zong-Jun ^, ,
ZHOU Jian-Feng

Department of Engineering Physics and Center for Astrophysics,Tsinghua University, Beijing 100084,China

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Abstract：
The most popular iteration method used in Direct Demodulation Method (DD) is Richardson-Lucy (RL) Iteration. The formula of RL iteration can be rewritten in matrix form. There are two matrix multiplications which contain the main computation cost. They can be transformed into convolution if the system is shift-invariant. As is well known, convolution can be computed by Fast Fourier Transform much faster than computed directly. This paper introduces the details of the above procedure, which is called accelerated direct demodulation method (ADD), and applies the procedure to image restorations of Hard X-ray Modulation Telescope data. This paper also compares the computation cost between the original DD and ADD.

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SHEN Zong-Jun and ZHOU Jian-Feng. Accelerated Direct Demodulation Imaging Method[J]. Chinese Physics C, 2007, 31(11): 1016-1021.

SHEN Zong-Jun and ZHOU Jian-Feng. Accelerated Direct Demodulation Imaging Method[J]. Chinese Physics C, 2007, 31(11): 1016-1021. shu

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Received: 2006-12-05
Revised: 2007-01-15

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沈阳化工大学材料科学与工程学院沈阳 110142

Accelerated Direct Demodulation Imaging Method

SHEN Zong-Jun ^,
ZHOU Jian-Feng

Corresponding author: SHEN Zong-Jun,

Department of Engineering Physics and Center for Astrophysics,Tsinghua University, Beijing 100084,China

Received Date: 2006-12-05
Accepted Date: 2007-01-15
Available Online: 2007-11-05

Abstract: The most popular iteration method used in Direct Demodulation Method (DD) is Richardson-Lucy (RL) Iteration. The formula of RL iteration can be rewritten in matrix form. There are two matrix multiplications which contain the main computation cost. They can be transformed into convolution if the system is shift-invariant. As is well known, convolution can be computed by Fast Fourier Transform much faster than computed directly. This paper introduces the details of the above procedure, which is called accelerated direct demodulation method (ADD), and applies the procedure to image restorations of Hard X-ray Modulation Telescope data. This paper also compares the computation cost between the original DD and ADD.