Computer generated three-dimensional models of microstructural features based on stereomicroscopy
3D information may be extracted from two 2D images by capturing a first image of a sample at a first orientation. The sample may be titled at a second or different orientation, resulting in a second image of the titled sample to be captured. Third dimension of information may be extracted from the images.
1. A computer-implemented method for extracting three-dimensional (3D) data to create a 3D representation from two two-dimensional (2D) images, the method comprising:
capturing a first image of a sample at a first orientation;
capturing a second image at a second or different orientation from that of the first orientation;
extracting 3D information using the first captured image and the second captured image to create a 3D representation;
incorporating crystallographic information into the 3D representation, wherein the incorporating of the crystallographic information comprises
determining a direction of each diffraction vector by subtracting pixel position of a transmitted beam with that of a diffracted beam and taking a z-direction to be zero;
transforming the direction of each diffraction vector to a zero-tilt orientation such that each diffraction vector direction is in a same frame of reference as points of features when the z-direction is in a direction of the foil thickness; and
using coordinate transformations to align x, y, and z coordinates of the positions with crystallographic directions.
2. The method of claim 1 , wherein the capturing of the first image comprises
using a transmission electron microscopy (TEM) to emit electrons from one side of the sample through an opposite side of the sample such that the electrons land on the detector.
3. The method of claim 1 , wherein the capturing of the second image comprises
tilting the sample with respect to an electron beam emitted from a transmission electron microscopy (TEM) to capture the second image.
4. The method of claim 1 , wherein the extracting of the 3D information comprises
extracting 3D position information from an amount of tilt between the captured first image and the second captured image and x and y coordinates in each of the first image and the second image.
5. The method of claim 4 , wherein the extracting of the 3D position information comprises
at two values of the tilt, measuring the x and y coordinates of each point corresponding to features in the captured first image and the captured second image.
6. The method of claim 5 , wherein the extracting of the 3D position information comprises
calculating a position of the second through last point individually with respect to the first point using the measured x and y coordinates with a calculated z coordinate.
7. The method of claim 1 , further comprising:
manipulating calculated coordinates for each point with coordinate transformations to determine a foil thickness, wherein the manipulating comprises
performing two rotations of the calculated coordinates, such that a z-direction is in a direction of the foil thickness and represents a zero-tilt frame of reference.
8. A non-transitory computer-readable medium comprising a computer program configured to extract 3D information from two 2D images, wherein the computer program, when executed by at least one processor, is configured to
capture a first image of a sample at a first orientation;
capture a second image at a second or different orientation from that of the first orientation;
extract 3D information using the first captured image and the second captured image to create a 3D representation from the 2D images;
index two diffraction vectors;
determine a direction of each diffraction vector by subtracting pixel position of a transmitted beam with that of a diffracted beam and taking a z-direction to be zero;
transform the direction of each diffraction vector to a zero-tilt orientation such that each diffraction vector direction is in a same frame of reference as points of features is the zero-tilt frame of reference; and
use coordinate transformations to align x, y, and z coordinates of the positions with crystallographic directions.
9. The non-transitory computer-readable medium of claim 8 , wherein the computer program is further configured to
use a transmission electron microscopy (TEM) to emit electrons from one side of the sample through an opposite side of the sample such that the electrons land on the detector.
10. The non-transitory computer-readable medium of claim 8 , wherein the computer program is further configured to
tilt the sample with respect to an electron beam emitted from a transmission electron microscopy (TEM) to capture the second image.
11. The non-transitory computer-readable medium of claim 8 , wherein the computer program is further configured to
extract 3D position information from an amount of tilt between the captured first image and the second captured image and x and y coordinates in each of the first image and the second image.
12. The non-transitory computer-readable medium of claim 11 , wherein the computer program is further configured to
at two values of the tilt, measure the x and y coordinates of each point corresponding to features in the captured first image and the captured second image.
13. The non-transitory computer-readable medium of claim 12 , wherein the computer program is further configured to
calculate a position of the second through last point individually with respect to the first point using the measured x and y coordinates with a calculated z coordinate.
14. The non-transitory computer-readable medium of claim 8 , wherein the computer program is further configured to
manipulate calculated coordinates for each point with coordinate transformations to determine a foil thickness, wherein the manipulating comprises
performing two rotations of the calculated coordinates, such that a z-direction is in a direction of the foil thickness and corresponds to a zero-tilt sample orientation in the microscope.
15. An apparatus configured to extract three-dimensional (3D) data to create a 3D representation from a two-dimensional (2D) image, the method comprising:
at least one processor;
memory comprising a set of instructions, wherein
the set of instructions are configured to cause the processor to
capture a first image of a sample at a first orientation;
capture a second image at a second or different orientation from that of the first orientation;
extract 3D information using the first captured image and the second captured image to create a 3D representation from the 2D images;
index two diffraction vectors;
determine a direction of each diffraction vector by subtracting pixel position of a transmitted beam with that of a diffracted beam and taking a z-direction to be zero;
transform the direction of each diffraction vector to a zero-tilt orientation such that each diffraction vector direction is in a same frame of reference as points of features is the zero-tilt frame of reference; and
use coordinate transformations to align x, y, and z coordinates of the positions with crystallographic directions.
16. The apparatus of claim 15 , wherein the set of instructions are further configured to cause the processor to use a transmission electron microscopy (TEM) to emit electrons from one side of the sample through an opposite side of the sample such that the electrons land on the detector.
17. The method of claim 15 , wherein the set of instructions are further configured to cause the processor to tilt the sample with respect to an electron beam emitted from a transmission electron microscopy (TEM) to capture the second image.
18. The method of claim 15 , wherein the set of instructions are further configured to cause the processor extract 3D position information from an amount of tilt between the captured first image and the second captured image and x and y coordinates in each of the first image and the second image.