Abstract: A method for measuring a sample to identify a chemical includes receiving respective spectra for each of a plurality of chemicals. Using a processor, a plurality of binary mathematical filters are computed using the received spectra. A spatial light modulator is adjusted according to a selected mathematical filter. Light that has interacted with the sample is dispersed over the surface of the spatial light modulator, so that the spatial light modulator provides light at wavelengths corresponding to the selected mathematical filter. The light provided by the spatial light modulator is measured to provide a score corresponding to the selected mathematical filter. Filter scores are combined to determine a chemical amount. The processor can operate detection apparatus having a light source, an objective for focusing source light onto the sample, a spatial light modulator, and a detector for detecting the modulator output.

Abstract: A method for measuring a sample to identify a chemical includes receiving respective spectra for each of a plurality of chemicals. Using a processor, a plurality of binary mathematical filters are computed using the received spectra. A spatial light modulator is adjusted according to a selected mathematical filter. Light that has interacted with the sample is dispersed over the surface of the spatial light modulator, so that the spatial light modulator provides light at wavelengths corresponding to the selected mathematical filter. The light provided by the spatial light modulator is measured to provide a score corresponding to the selected mathematical filter. Filter scores are combined to determine a chemical amount. The processor can operate detection apparatus having a light source, an objective for focusing source light onto the sample, a spatial light modulator, and a detector for detecting the modulator output.

Abstract: A method and system for processing multidimensional data. A method of forming multiresolution representations of data includes partitioning the data in a first dimension at a first rate, and partitioning the data in a second dimension at a second rate, wherein the first rate is not equal to the second rate. In one embodiment, the first rate is set to one, and the second rate is computed as the ratio of a smoothness estimate of the first dimension data and a smoothness estimate of the second dimension data. The partitioned data may be processed further through data compression, noise removal, or similar data processing methods.