Wrap Sketch Issue

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Wrap Sketch Issue

yogesh30
This post was updated on .
Our Project - An algorithm for Decal, to detect areas bound by a series of curves, both intersecting or consecutive, using image based approach. We are developing using exponential map algorithm.  
The inputs are Poly curves composed by lines, bounding box of all the curves, a resolution of the grid etc. The Output is an array of boundary curves of the single area.

We are facing problems with getting UV values on arbitrary mesh.  Whenever the triangles or their borders are overlapping the output is incorrect. It is difficult to find problem in input mesh which creates bad Exponential map.
It will be really helpful if anyone will give us any suggestions, snippet of code,  any ideas with algorithm to find UV values.

Any help is really appreciated. Thank You in advance.