GeometryCentral Corner Perms

先使用 Polyscope 2.4.0 和 GeometryCentral 重現 issue 中描述的清理後範例，然後檢查 polyscopePermutations 路徑和 parameterization 通道的 corner-data 查找邏輯。如果可用，將行為與 Polyscope 2.1.0 進行比較。當通道和 pick 功能使用映射後的 GeometryCentral corner 值，而不是原始的 Polyscope 索引時，即視為完成。

Hey,

I'm running into issues with getting parameterized data loaded from geometry central. It seems that the permutations for the corners aren't being set correctly. I've verified that the "polyscopePermutations" function produces valid maps at the time of registration (and after). However, it seems to ignore the perms and just reads the corner data using the polyscope index. Here is an example of a simple quad (bisected). When viewing the parameterization channel, it seems to use the "original" values (confirmed by pick functionality). I believe this was working when I was using Polyscope 2.1.0, but now I'm getting this issue on 2.4.0. It may actually be from GC with that official update (1.0.0) but I don't think so. I'm technically running a fork of geometry central 1.0.0 for custom access to intrinsic triangulations, but nothing to do with the extrinsic / embedded code used here.

EDIT: I've cleaned the code and the output, attached an image to better communicate what is happening.

[DEBUG] Corner Parameterization Values:
[DEBUG]    GC Corner ID 0 | Face ID 0 | UV [1,0]
[DEBUG]    GC Corner ID 1 | Face ID 1 | UV [0,1]
[DEBUG]    GC Corner ID 2 | Face ID 0 | UV [0,1]
[DEBUG]    GC Corner ID 4 | Face ID 0 | UV [0,0]
[DEBUG]    GC Corner ID 6 | Face ID 1 | UV [1,0]
[DEBUG]    GC Corner ID 8 | Face ID 1 | UV [1,1]
[DEBUG] Corner permutation (6 entries):
[DEBUG]    Corner IDs (PS, GC) -> UVs (PS, GC)
[DEBUG]    Corner IDs (0, 0) -> UVs ([1,0], [1,0])
[DEBUG]    Corner IDs (1, 2) -> UVs ([0,1], [0,1])
[DEBUG]    Corner IDs (2, 4) -> UVs ([0,1], [0,0])
[DEBUG]    Corner IDs (3, 6) -> UVs ([0,0], [1,0])
[DEBUG]    Corner IDs (4, 8) -> UVs ([0,0], [1,1])
[DEBUG]    Corner IDs (5, 1) -> UVs ([0,0], [0,1])