Question Smooth/Formal distortion of view with _CameraOpaqueTexture

Hi everyone,

I'm using _CameraRenderTexture to alter the position of the objects. However I want to achieve the following picture where the straight line curved along the y axis. I want this to happen no matter where I look from. I tried to Lerp between normal value and altered value based on the distance from the object itself. I know lerp would create a linear result but I couldn't do this. I look into transformations between spaces, tried to get a value that i can use in the lerp but my attempts were unsuccesful.
How should I aproach to problem?
Can i create a material that does this based on the edges of the mesh.

My shader graph and the result.