X-ray imaging system and method
View Patent ↗The present invention provides systems and methods for x-ray imaging. In some embodiments, an aperture, or a plurality thereof, are configured to have image transfer functions lacking a zero within a usable spatial frequency range. In further embodiments, the image transfer function is determined according to the shape of the aperture and the usable spatial frequency range is determined according to a usable signal to noise ratio.
1. An apparatus for x-ray imaging, comprising:
a structure for x-ray imaging including an aperture defining a volume extending from a first surface of the structure to a second surface of the structure and having a shape that varies with depth;
wherein the volume is configured to provide an image transfer function; and
wherein the image transfer function lacks a zero in a predetermined spatial frequency range.
2. The apparatus of claim 1 , wherein the shape of the aperture provides an image having a Gaussian form.
3. The apparatus of claim 2 , wherein the profile of the aperture has a parabolic cross-section.
4. The apparatus of claim 1 , wherein the volume profile has a cross-section comprising an asymmetric parabolic profile, a symmetric Gaussian profile, an asymmetric Gaussian profile, an asymmetric Lorentzian profile, or a symmetric Lorentzian profile.
5. The apparatus of claim 1 , wherein the aperture has a point spread function that locally satisfies a spatial invariance condition.
6. The apparatus of claim 1 , wherein an outer circumference of the aperture is composed of a material that is substantially opaque to x-rays within a predetermined range of energy.
7. The apparatus of claim 6 , wherein the predetermined range of energy is selected according to backscattering properties of a predetermined variety of materials.
8. The apparatus of claim 1 , wherein the usable spatial frequency range is further configured such that resolution of the apparatus is maximized according to a diameter of the aperture.
9. The apparatus of claim 1 , wherein the shape is configured according to a predetermined peak transmission value at a predetermined incident angle and a predetermined full width at half maximum value at the predetermined incident angle.
10. The apparatus of claim 9 , wherein the aperture is further configured according to a predetermined range of peak transmission values and a predetermined range of full width at half maximum values at a predetermined range of incident angles.
11. The apparatus of claim 1 , further comprising:
an x-ray emitter to emit x-rays;
and a sensor disposed a predetermined distance from the aperture;
wherein the apparatus is configured such that x-rays emitted from the x-ray emitter and scattered off of an object pass through the aperture and form an image on the sensor.
12. The apparatus of claim 11 , wherein the x-ray emitter is configured to emit an x-ray beam having a spherical wavefront.
13. The apparatus of claim 11 , wherein the x-ray emitter is configured to emit an x-ray beam having a substantially collimated wavefront.
14. The apparatus of claim 13 , further comprising a second aperture and a second sensor disposed at a second distance from the first aperture and sensor.
15. The apparatus of claim 11 , wherein the apparatus is configured to gate the sensor at a predetermined time interval to enable three-dimensional imaging of an object.
16. The apparatus of claim 15 , wherein the x-ray emitter is configured to emit an x-ray pulse at a second predetermined time interval.
17. The apparatus of claim 16 , further comprising an image processor and wherein the apparatus is further configured to receive a reflected x-ray pulse and the image processor is configured to compensate for a delayed x-ray scattering time interval.
18. The apparatus of claim 1 , further comprising a particle emitter configured to emit a particle beam configured to create x-rays at an interface between a volume to be imaged and a transmission medium.