BookDOI
Numerische Mathematik 1
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The article was published on 1989-01-01. It has received 2186 citations till now.read more
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An Interior-Point Approach to Trajectory Optimization
TL;DR: In this article, an interior-point approach for solving optimal control problems is presented, combining a flexible refinement scheme with dedicated linear algebra solvers, and an efficient algorithm is presented.
Journal ArticleDOI
On Affine-Scaling Interior-Point Newton Methods for Nonlinear Minimization with Bound Constraints
Christian Kanzow,Andreas Klug +1 more
TL;DR: A class of new affine-scaling interior-point Newton-type methods are considered for the solution of optimization problems with bound constraints and are shown to be locally quadratically convergent under the strong second order sufficiency condition without assuming strict complementarity of the solution.
Journal ArticleDOI
Chambolle's Projection Algorithm for Total Variation Denoising
TL;DR: This paper focuses on the simple description of the theory and on the implementation of Cham- bolle's projection algorithm for minimizing the total variation of a grayscale image and adapts the algorithm to the vectorial total variation for color images.
Book ChapterDOI
State of the Art of Level Set Methods in Segmentation and Registration of Medical Imaging Modalities
TL;DR: This work states that in situations where the initial model and desired object boundary differ greatly in size and shape, the model must be reparameterized dynamically to faithfully recover the object boundary, parametric deformable models have two main limitations.