Before revision:  * Maintaining weak visibility polygon of a fixed line segment located interior to simple polygon amid vertex insertions to simple polygon . * Answering weak visibility polygon query corresponding to any  line segment located interior to  simple polygon amid both  vertex insertions and deletions to  simple polygon.
After revision:  * Maintaining weak visibility polygon of p is computed. Otherwise, our algorithm outputs the visibility polygon corresponding to the exterior visibility of p . * Answering weak visibility polygon query corresponding to any line segment located interior to simple polygon amid both vertex insertions and deletions to simple polygon.