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We consider extending the visibility polygon of a given point $q$, inside asimple polygon $P$ by converting some edges of $P$ to mirrors. We will showthat several variations of the problem of finding mirror-edges to add precisely$k$ units of area to $VP(q)$ are NP-complete. The optimal cases are NP-hard. Weare unaware of any result on adding an exact number to a polygon, or coveringan area with an exact surface. We deal with both single and multiple reflectingmirrors for both specular or diffuse types of reflections.

Visibility Extension via Reflective Edges to an Exact Quantity