Inversion of limited-angle tomographic data II
نویسندگان
چکیده
منابع مشابه
A stabilized inversion for limited angle tomography
In this paper we present a method for reconstructing a function f :R2!R from limited angle tomographic data. This reconstruction problem occurs in many physical systems, where physical limitations prohibit the gathering of tomographic data a certain angles. We begin by reviewing some of the classical work on singular value decompositions and POCS in the context of this problem. We then review s...
متن کاملTomographic reconstruction from limited data
Introduction At present, image reconstruction in micro-CT imaging is typically performed using the FDK algorithm. This algorithm, which is similar to the Filtered Backprojection algorithm for singleslice tomography, is capable of computing accurate reconstructions in a relatively short time, provided that the acquired dataset satisfies certain requirements: (i) a large number of projection imag...
متن کاملAssessing Data Uncertainty in Tomographic Velocity Inversion
The work flow of migration velocity analysis (MVA) is widely used in seismic exploration of hydrocarbon reservoirs to refine velocity models and obtain precise information about subsurface structures. Therefore the velocity uncertainty introduced in the MVA process directly affects assessments of structural uncertainty and reservoir volumes. In order to quantify the velocity uncertainty in MVA ...
متن کاملComplementary data fusion for limited-angle tomography
Ambiguity in the solution of inverse problems arises when data are insufficient to define a unique solution (i.e., the problem is ill-posed). Data fusion has the potential to reduce this ambiguity by using other sensory data that complement the original data. This paper examines the application of data fusion to limited-angle computed tomography (CT) to resolve ambiguity. While CT in its conven...
متن کاملTruncated Hilbert transform and image reconstruction from limited tomographic data
A data sufficiency condition for 2D or 3D region-of-interest (ROI) reconstruction from a limited family of line integrals has recently been introduced using the relation between the backprojection of a derivative of the data and the Hilbert transform of the image along certain segments of lines covering the ROI. This paper generalizes this sufficiency condition by showing that unique and stable...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1992
ISSN: 0893-9659
DOI: 10.1016/0893-9659(92)90110-u