Diffraction tomography systems and methods with arbitrary source and detector array surfaces
First Claim
1. A method for the tomographic reconstruction of an object which has diffracted waves of energy propagating through it, said waves of energy being selected from a group consisting of sonic and electromagnetic waves, comprising:
- obtaining signals which are a function of at least one of the phase and amplitude of the diffracted propagating waves after said waves have interacted with said object, wherein the sources of said energy waves are located along an arbitrary curvilinear surface, other than a single straight line and the detectors of said diffracted waves are located along an arbitrary curvilinear surface other than a single straight line; and
converting said signals by means of a filtered backpropagation technique into an array representing a partial reconstruction of the object.
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Abstract
Diffraction tomography systems and methods are disclosed for the reconstruction of physical properties of two and three-dimensional objects from information collected by detectors located along an arbitrary surface in space. The sources of energy investigating the object may likewise be located along an arbitrary surface. Optimal filtered backpropagation techniques and preprocessing required for such reconstructions are disclosed for systems utilizing plane wave sources, and for systems using fan beam cylindrical or spherical wave insonification. The preprocessing and filtered backpropagation techniques are shown to simplify for the cases of circular boundaries, and other separable boundaries within the Helmholtz equation.
24 Citations
42 Claims
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1. A method for the tomographic reconstruction of an object which has diffracted waves of energy propagating through it, said waves of energy being selected from a group consisting of sonic and electromagnetic waves, comprising:
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obtaining signals which are a function of at least one of the phase and amplitude of the diffracted propagating waves after said waves have interacted with said object, wherein the sources of said energy waves are located along an arbitrary curvilinear surface, other than a single straight line and the detectors of said diffracted waves are located along an arbitrary curvilinear surface other than a single straight line; and converting said signals by means of a filtered backpropagation technique into an array representing a partial reconstruction of the object. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24)
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25. A method for the tomographic reconstruction of an object comprising:
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directing, from energy sources located along an arbitrary curvilinear surface, waves of energy toward said object; detecting as a function of time, with detectors located along an arbitrary curvilinear surface other than a single straight line, the fields produced by said waves; producing signals which are functions of said detected fields; preprocessing said produced signals; and filtering said preprocessed signals according to a filtered backpropagation technique to generate an array representing a partial reconstruction of said object. - View Dependent Claims (26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40)
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41. A system for the tomographic reconstruction of an object comprising:
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energy sources located along an arbitrary curvilinear surface for insonifying said object with waves of energy; detectors of energy located along an arbitrary curvilinear surface other than a single straight line, for detecting the fields produced by the interaction of said source energy with said object and for producing signals which are functions of said detected fields; preprocessing means for preprocessing said produced signals; and processing means for filtering and backpropagating said preprocessed signals according to a filtered backpropagation technique to generate an array representing a partial reconstruction of said object. - View Dependent Claims (42)
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Specification