3D Matte with soft edges at intersection?

Hi,
I have a question. Is it possible to soften the interesting edges of 3D objects with a material matte?
Basically, I have two 3D shape objects intersecting in 3D space. One object has an "Is Matte" property while the other has a default material. Is there any way to soften the edges where the two objects intersect?
For example - to soften these two intersecting objects: (Is Matte - is applied to one)
..
Or, is it possible to soften the intersection of two 3D objects regardless of a matte material?
Thanks!
I have a question. Is it possible to soften the interesting edges of 3D objects with a material matte?
Basically, I have two 3D shape objects intersecting in 3D space. One object has an "Is Matte" property while the other has a default material. Is there any way to soften the edges where the two objects intersect?
For example - to soften these two intersecting objects: (Is Matte - is applied to one)
..
Or, is it possible to soften the intersection of two 3D objects regardless of a matte material?
Thanks!