Systems and methods for data representation in an optical measurement system
An illustrative method includes accessing, by a computing device, a model simulating light scattered by a simulated target, the model comprising a plurality of parameters. The method further includes generating, by the computing device, a set of possible histogram data using the model with a plurality of values for the parameters. The method further includes determining, by the computing device, a set of components that represent the set of possible histogram data, the set of components having a reduced dimensionality from the set of possible histogram data.
1. An optical measurement system comprising:
a detector configured to detect arrival times for photons scattered by a target; and
a processing unit configured to:
generate, based on the arrival times, histogram data associated with the target; and
generate, based on a set of components that represent a set of possible histogram data simulated using a model that simulates light scattered by a simulated target, a compressed representation of the histogram data.
2. The optical measurement system of claim 1 , wherein the generating the compressed representation comprises determining a set of weights that define a linear combination of the set of components to represent the histogram data.
3. The optical measurement system of claim 1 , wherein the processing unit is further configured to:
modify, based on the histogram data, the set of components.
4. The optical measurement system of claim 1 , wherein the processing unit is further configured to:
access the model, the model comprising a plurality of parameters;
generate the set of possible histogram data using the model with a plurality of values for the parameters; and
determine the set of components that represent the set of possible histogram data, the set of components having a reduced dimensionality from the set of possible histogram data.
5. The optical measurement system of claim 4 , wherein the plurality of parameters comprises at least one of an absorption coefficient or a scattering coefficient of the simulated target.
6. The optical measurement system of claim 4 , wherein:
the model comprises a modeled light source and a modeled detector for detecting the simulated light scattered by the simulated target; and
the plurality of parameters comprises a parameter representative of a distance between the modeled light source and the modeled detector.
7. The optical measurement system of claim 4 , wherein the determining the set of components comprises:
normalizing the set of possible histogram data to generate a normalized data set;
determining a covariance of the normalized data set; and
determining the set of components based on the covariance.
8. The optical measurement system of claim 4 , wherein the components comprise eigenvectors determined using principal component analysis (PCA).
9. The optical measurement system of claim 8 , wherein the set of components comprises a subset of the eigenvectors.
10. A method comprising:
generating, by a processing unit and based on arrival times of photons at a detector after the photons are scattered by a target, histogram data associated with the target; and
generating, by the processing unit and based on a set of components that represent a set of possible histogram data simulated using a model that simulates light scattered by a simulated target, a compressed representation of the histogram data.
11. The method of claim 10 , wherein the generating the compressed representation comprises determining a set of weights that define a linear combination of the set of components to represent the histogram data.
12. The method of claim 10 , further comprising modifying, by the processing unit and based on the histogram data, the set of components.
13. A wearable system for use by a user comprising:
a head-mountable component configured to be attached to a head of the user, the head-mountable component comprising an array of photodetectors configured to detect photons of light after the light reflects off a target within the head; and
a processing unit configured to:
generate, based on arrival times of the photons at the photodetectors, histogram data associated with the target; and
generate, based on a set of components that represent a set of possible histogram data simulated using a model that simulates light scattered by a simulated target, a compressed representation of the histogram data.
14. The wearable system of claim 13 , wherein the generating the compressed representation comprises determining a set of weights that define a linear combination of the set of components to represent the histogram data.
15. The wearable system of claim 13 , wherein the processing unit is further configured to modify, based on the histogram data, the set of components.