Multiresolution reconstruction in fan-beam tomography
Multiresolution reconstruction in fan-beam tomography
复制标题
扇束断层扫描中的多分辨率重建
DOI：
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复制
发表时间：
2000
期刊：
影响因子：
--
通讯作者：
R. Prost
中科院分区：
文献类型：
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作者：
S. Bonnet;F. Peyrin;F. Turjman;R. Prost
研究了一种新的多分辨率层析重建方法。到目前为止，几乎所有的小波和计算机断层扫描之间的连接只被认为是平行光束的几何形状。我们的方法依赖于使用径向和梅花形小波推广二维并行多分辨率重建方法的二维发散几何。本文给出了梅花型多分辨格式的近似反演公式。这种有效的算法允许一个计算的梅花形近似和细节系数的图像从它的扇束投影，而无需额外的计算成本相比，标准的扇束滤波反投影算法。在重建过程中获得对象的尺度空间表示允许直接结合基于小波的技术，如去噪，图像分析和局部断层扫描。数学幻影上的模拟表明，我们的小波层析方案是可以接受的小光束角，但恶化在高角度由于未经验证的近似。
A new multiresolution tomographic reconstruction method is investigated for a flat detector fan-beam geometry. To date, almost all connections between wavelets and computerized tomography have only been considered for parallel-beam geometry. Our approach relies on the use of radial and quincunx wavelets to generalize 2D parallel multiresolution reconstruction methods to 2D divergent geometries. In this paper, an approximate inversion formula for a quincunx multiresolution scheme is demonstrated. This efficient algorithm allows one to compute both the quincunx approximation and detail coefficients of an image from its fan-beam projections without extra computational cost compared to the standard fan-beam filtered backprojection algorithm. Obtaining the scale-space representation of the object during the reconstruction process allows one to incorporate directly wavelet-based techniques such as denoising, image analysis and also local tomography. Simulations on mathematical phantoms show that our wavelet tomographic scheme is acceptable for small beam angles but deteriorates at high angles due to non verified approximations.
影响因子：
3.8
作者：
Xiaochuan Pan
通讯作者：
Xiaochuan Pan