YES, you can decide which edges to show in 2 ways.
Method 1. by hidden edge selection
- select the edges you want to see
- invert the selection
- run the hide selection command
any edges that are hidden on the base selection of the polygon object are also hidden in the shader.
This works only for real edges A-B B-C C-D D-A
Method 2. Create a weight map.
- Insert your weight map as the size Driver in the modify Tab.
edges will be smaller where weight is less.