“…Further, optimized needle positions, even limited to This work was supported by NSF Award IIS-1227536, CITRIS seed grant, NSF Award 0970180, National Security Science and Engineering Faculty Fellowship from the Office of US Secretary of Defense. 1 Author is with IEOR University of California, Berkeley, CA, USA {animesh.garg, gy8, atamturk}@berkeley.edu 2 Author is with Radiation Oncology, UC, San Francisco, CA, USA {SiauwK,CunhaA,ihsu,JPouliot}@radonc.ucsf.edu 3 Author is with EECS, University of California, Berkeley, CA, USA {sachinpatil, goldberg}@berkeley.edu , and an entry zone (black), which represent the prostate, penile bulb, and perineum, respectively, in case of prostate brachytherapy. This study develops an exact algorithm for finding an occluded volume (red), which is the region inside the target volume that cannot be reached by any straight line originating in the entry zone without intersecting the avoidance volume, or showing that no such volume exists.…”