Hintermüller, M.2018-06-182018-06-182004-07Hintermüller, M.. "A Combined Shape-Newton and Topology Optimization Technique in Real-Time Image Segmentation." (2004) <a href="https://hdl.handle.net/1911/102022">https://hdl.handle.net/1911/102022</a>.https://hdl.handle.net/1911/102022In this paper, for solving a class of shape optimization problems, a new algorithmic concept combining shape and topological sensitivities is presented. The geometry of interest is represented by means of geometrical implicit functions. While the topology optimization phase is based on a gradient descent scheme, the phase based on shape sensitivity uses Newton-type descent flows. The algorithm is applied to edge detector based image segmentation problems, but it can be extended to solve more general shape optimization problems as well.24 ppengTechnical reportTR04-10