About the "EDL1" in your paper

[int2char]

Is the code of EDL1 or the supplemental material mentioned in the paper which described the detail of EDL1 available?

[lllyasviel]

EDL1 = L1 + EAP automatic erasing + DPGMM

"L1 + EAP automatic erasing" is the "L1 smoothing with EAP automatic erasing" in this project.

DPGMM can be found in the original "L1 smoothing" paper:

"An L1 Image Transform for Edge-Preserving Smoothing and Scene-Level Intrinsic Decomposition"

http://cseweb.ucsd.edu/~bisai/papers/SIGGRAPH15_IntrinsicDecomposition.pdf

Page 6, Section 4.1: "Clustering"

Please refer to their implementation details for the DPGMM application.

We do not have plan to upload the DPGMM codes because it belongs to third party and I do not have the right to opensource it.

If you want the DPGMM code, you may directly contact the original "L1 smoothing" authors of Sai Bi, Xiaoguang Han, and Yizhou Yu.

[int2char]

Thanks for the detailed interpretation，I have an another question: how can I separate the specular reflection layer and the shadow layer of an image as what is shown in your project page? I read the paper "Illumination Decomposition for Material Recoloring with Consistent Interreflections" as you cited which supports assigning specular reflections into seperateted layers, but I failed to find the correlated method. Is there any redesigning of the energy functions ?

[lllyasviel]

No you do not need to modify the energy function. The specular reflection layer can be directly computed by inverting the shadow map.

Assuming you have albedo A and shadow S and you decompose the image I with "Illumination Decomposition for Material Recoloring with Consistent Interreflections" (IDMRCI) as

I = A * S

Then you can use a simple inverting operation "F(x)=1.0-x " and then

F(I) = F(A) * F(S)

Then IDMRCI will decompose specular reflection and S is the specular reflection.

I believe I find this trick in IDMRCI but currently I cannot find the related descriptions in that paper. Later I will take another look at it.

Also if you are interested in those transform, you may also want this paper with many related transforms:

https://koyama.xyz/project/color_unblending/

[int2char]

thanks, this really help a lot