Inverse radon transform with one-dimensional wavelet transform

被引:0
|
作者
Qu Gangrong
机构
[1] Northern Jiaotong University,Science College
关键词
Radon transform; wavelet transform; wavelet inversion formula; convolution back-projection method;
D O I
10.1007/BF02670966
中图分类号
学科分类号
摘要
In this paper, the wavelet inverse formula of Radon transform is obtained with one-dimensional wavelet. The convolution back-projection method of Radon transform is derived from this inverse formula. An asymptotic relation between wavelet inverse formula of Radon transform and convolution-back projection algorithm of Radon transform in 2 dimensions is established.
引用
收藏
页码:70 / 77
页数:7
相关论文
共 50 条
  • [21] Application of the wavelet based Radon transform
    Deans, SR
    Gangadharan, D
    [J]. EXPLOITING NEW IMAGE SOURCES AND SENSORS, 26TH AIPR WORKSHOP, 1998, 3240 : 191 - 199
  • [22] The Generalized Radon Transform on the Plane, the Inverse Transform, and the Cavalieri Conditions
    D. A. Popov
    [J]. Functional Analysis and Its Applications, 2001, 35 : 270 - 283
  • [23] The Inverse of the Continuous Wavelet Transform
    Weisz, Ferenc
    [J]. COMPUTER AIDED SYSTEMS THEORY - EUROCAST 2017, PT II, 2018, 10672 : 246 - 253
  • [24] The generalized Radon transform on the plane, the inverse transform, and the Cavalieri conditions
    Popov, DA
    [J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2001, 35 (04) : 270 - 283
  • [25] Extracting one-dimensional wavelet features with a diffractive optical inner-product transform
    Roux, FS
    [J]. APPLIED OPTICS, 1996, 35 (23): : 4610 - 4614
  • [26] One-dimensional image surface blur algorithm based on wavelet transform and bilateral filtering
    Caixia Liu
    Mingyong Pang
    [J]. Multimedia Tools and Applications, 2021, 80 : 28697 - 28711
  • [27] One-dimensional image surface blur algorithm based on wavelet transform and bilateral filtering
    Liu, Caixia
    Pang, Mingyong
    [J]. MULTIMEDIA TOOLS AND APPLICATIONS, 2021, 80 (19) : 28697 - 28711
  • [28] Fringe pattern analysis using a one-dimensional modified Morlet continuous wavelet transform
    Abid, Abdulbasit Z.
    Gdeisat, Munther A.
    Burton, David R.
    Lalor, Michael J.
    Abdul-Rahman, Hussein S.
    Lilley, Francis
    [J]. OPTICAL AND DIGITAL IMAGE PROCESSING, 2008, 7000
  • [29] Extracting one-dimensional wavelet features with a diffractive optical inner-product transform
    Dept. of Elec. and Electron. Eng., Potchefstroom Univ. Chrstn. H., Potchefstroom 2520, South Africa
    不详
    [J]. Appl. Opt., 23 (4610-4614):
  • [30] Inverse radon transform for optoacoustic imaging
    Andreev, VG
    Popov, DA
    Sushko, DV
    Karabutov, AA
    Oraevsky, AA
    [J]. BIOMEDICAL OPTOACOUSTICS II, 2001, 4256 : 119 - 129