Estimation of Affine Transformations directly from Tomographic Projections

被引:0
|
作者
Mooser, Rene [1 ]
Hack, Erwin [1 ]
Sennhauser, Urs [1 ]
Szekely, Gabor [2 ]
机构
[1] Swiss Fed Labs Mat Testing & Res EMPA, Elect Metrol Lab, Ueberlandstr 129, CH-8600 Dubendorf, Switzerland
[2] Swiss Fed Inst Technol, Comp Vis Lab, CH-8092 Zurich, Switzerland
关键词
MOTION;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper presents a new approach to estimate affine transformations from tomographic projections. Instead of estimating the deformation from the reconstructed data, we introduce a method which works directly in the projection data. Using a parallel beam geometry, we show that any affine transformation results in scaling and translation of the projection data. Furthermore, we present a method which recovers the parameters of the deformation. Numerical experiments conclude the paper.
引用
收藏
页码:387 / +
页数:2
相关论文
共 50 条
  • [1] Estimation of affine transformations directly from tomographic projections in two and three dimensions
    Mooser, Rene
    Forsberg, Fredrik
    Hack, Erwin
    Szekely, Gabor
    Sennhauser, Urs
    [J]. MACHINE VISION AND APPLICATIONS, 2013, 24 (02) : 419 - 434
  • [2] Estimation of affine transformations directly from tomographic projections in two and three dimensions
    René Mooser
    Fredrik Forsberg
    Erwin Hack
    Gábor Székely
    Urs Sennhauser
    [J]. Machine Vision and Applications, 2013, 24 : 419 - 434
  • [3] Estimation of Affine Geometric Transformations of Several Objects from Global Measurements
    Hagege, Rami R.
    Francos, Joseph M.
    [J]. 2009 IEEE INTERNATIONAL WORKSHOP ON MULTIMEDIA SIGNAL PROCESSING (MMSP 2009), 2009, : 496 - 500
  • [4] A frequency domain technique based on energy radial projections for robust estimation of global 2D affine transformations
    Lucchese, L
    [J]. COMPUTER VISION AND IMAGE UNDERSTANDING, 2001, 81 (01) : 72 - 116
  • [6] Parametric Estimation of Affine Transformations: An Exact Linear Solution
    Rami Hagege
    Joseph M. Francos
    [J]. Journal of Mathematical Imaging and Vision, 2010, 37 : 1 - 16
  • [7] Parametric Estimation of Affine Transformations: An Exact Linear Solution
    Hagege, Rami
    Francos, Joseph M.
    [J]. JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2010, 37 (01) : 1 - 16
  • [8] Parametric estimation of two-dimensional affine transformations
    Hagege, R
    Francos, JM
    [J]. 2004 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL III, PROCEEDINGS: IMAGE AND MULTIDIMENSIONAL SIGNAL PROCESSING SPECIAL SESSIONS, 2004, : 305 - 308
  • [9] Affine projections
    Piziak, R
    Odell, PL
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (1-2) : 177 - 190
  • [10] EXPANDERS OBTAINED FROM AFFINE TRANSFORMATIONS
    JIMBO, S
    MARUOKA, A
    [J]. COMBINATORICA, 1987, 7 (04) : 343 - 355