Representation of spatial-frequency data as a map
A method for representing the structural information in a biological or physical sample is disclosed. In this method, a time-frequency representation of the spatial distribution within a sample is transformed into a color representation of the data. Furthermore, due to the directional sensitivity of the method for gathering the data, information about the structural anisotropy of the sample can also be encoded from the data. The application of this method to one or more regions within the sample enables a map to be generated which clearly illustrates quantitative measures of the structures present.
1. A method of obtaining, analyzing and representing data from a specimen comprising:
acquiring from the specimen, a signal versus position along a predetermined region of the specimen comprising part or all of a prism;
selecting a segment length that is longer than the structural features of the specimen desired to be analyzed and represented and shorter than the predetermined region of the specimen;
using the chosen segment length, performing a spatial frequency analysis of the signal over each of adjacent or overlapping segments along the predetermined region of the specimen to obtain values versus spatial frequency over a range of spatial frequencies in each segment;
characterizing the spatial frequency analysis of each segment to form a representation of each segment along the region of the specimen;
performing the steps above on part or all of multiple prisms to form a two-dimensional representation of the spatial frequencies of the segments;
overlaying the two-dimensional representation on another image of the region to illustrate the relationship between the spatial frequencies and the image.
2. The method of claim 1 wherein the results of the spatial frequency analysis are composed of both phase and amplitude values.
3. The method of claim 1 wherein the representations of each segment are displayed as gray-scale representations.
4. The method of claim 1 wherein the representations of each segment are displayed as monochrome representations.
5. The method of claim 1 wherein the representations of each segment are displayed as color representations.
6. The method of claim 1 wherein the representations of each segment are displayed as color representations wherein each color has the same intensity.
7. The method of claim 1 wherein the representations of each segment are displayed as color representations having variations in both color and color intensity.
8. The method of claim 1 wherein the representation of each segment is based on a characterization of the spatial frequency analysis over a first spatial frequency range of the spatial frequency analysis for the respective segment relative to a characterization of the spatial frequency analysis over a second spatial frequency range of the spatial frequency analysis for the respective segment.
9. The method of claim 1 wherein the representation of each segment is based on a ratio of the characterization of the spatial frequency analysis over a first spatial frequency range of the spatial frequency analysis for the respective segment to a characterization of the spatial frequency analysis over a second spatial frequency range of the spatial frequency analysis for the respective segment.
10. The method of claim 1 wherein the results of the spatial frequency analysis are composed of both real and imaginary values.
11. The method of claim 1 wherein the representations of each segment are displayed as false color representations.
12. The method of claim 1 wherein the representation of each segment is derived from metrics obtained from hyperspectral imaging.