Adaptive grid optical tomography
Graphical Models - Special issue on the vision, video and graphics conference 2005
Local algorithms in exterior tomography
Journal of Computational and Applied Mathematics - Special issue: Special functions in harmonic analysis and applications
Wavelet based local tomographic image using terahertz techniques
Digital Signal Processing
Wavelet based local coherent tomography with an application in terahertz imaging
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Expert Systems with Applications: An International Journal
Searchlight CT: a new reconstruction method for collimated X-ray tomography
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Local tomography based on grey model
Neurocomputing
| Hi-index | 0.02 |
We develop an algorithm to reconstruct the wavelet coefficients of an image from the Radon transform data. The proposed method uses the properties of wavelets to localize the Radon transform and can be used to reconstruct a local region of the cross section of a body, using almost completely local data that significantly reduces the amount of exposure and computations in X-ray tomography. The property that distinguishes our algorithm from the previous algorithms is based on the observation that for some wavelet bases with sufficiently many vanishing moments, the ramp-filtered version of the scaling function as well as the wavelet function has extremely rapid decay. We show that the variance of the elements of the null-space is negligible in the locally reconstructed image. Also, we find an upper bound for the reconstruction error in terms of the amount of data used in the algorithm. To reconstruct a local region 16 pixels in radius in a 256×256 image, we require 22% of full exposure data