I convert Image into CIELab color space. After that I split Image into 3 channels are Lightness,a*,b* . So I have 2 questions
1. How can I decompose Lightness channel into Detail Layer.
2. Assume I have a new Detail Layer. How can I combine with Lightness,a*,b* channels.
This is an example detail layer.

Image credit from "https://inst.eecs.berkeley.edu/~cs194-26/fa14/upload/files/projFinalUndergrad/cs194-ew/img/hdr/memorial/memorial.detail.jpg"
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