Constrained optimization algorithm for digital camera-based spectrometer

Spectrometers that provide spectral decomposition at different locations of a scene are required in many applications. A simple device based on a multi-channel digital camera system has recently been developed to provide pixel level spectrum estimation. The current spectrum estimation algorithm for the device is based on PCA analysis. This paper develops a new estimation approach in an optimization framework that is based on a model of the optical path. The new method provides better spectrum estimates. Theoretical development and experimental examples are provided.