Title
Optimizing Clearance of Bézier Spline Trajectories for Minimally-Invasive Surgery
Abstract
Preoperative planning of nonlinear trajectories is a key element in minimally-invasive surgery. Interpolating between start and goal of an intervention while circumnavigating risk structures provides the necessary feasible solutions for such procedure. While recent research shows that Rapidly-exploring Random Trees (RRT) on Bezier Splines efficiently solve this task, access paths computed by this method do not provide optimal clearance to surrounding anatomy. We propose an approach based on sequential convex optimization that rearranges Bezier Splines computed by an RRT-connect, thereby achieving locally optimal clearance to risk structures. Experiments on real CT data of patients demonstrate the applicability of our approach on two scenarios: catheter insertion through the aorta and temporal bone surgery. We compare distances to risk structures along computed trajectories with the state of the art solution and show that our method results in clinically safer paths.
Year
DOI
Venue
2019
10.1007/978-3-030-32254-0_3
Lecture Notes in Computer Science
Keywords
DocType
Volume
Nonlinear trajectories,Convex optimization,RRT-connect
Conference
11768
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Johannes Fauser132.11
Igor Stenin200.34
Julia Kristin314.41
Thomas Klenzner4106.34
Jörg Schipper5108.71
Anirban Mukhopadhyay6115.35