How do I convert from spectral reflectance (from a hyperspectral imager) to CIELAB colorspace?

You integrate the product of the reflectance, a selected illuminant, and the CIE color matching functions with proper normalization to obtain CIE XYZ tristimulus values. These values are then used in the computation of CIELAB coordinates. A colorimetry text such as Berns' "Principles of Color Technology, 3rd Ed." explains this procedure in detail.

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