We discuss bi-harmonic fields which approximate signed distancefields. We conclude that the bi-harmonic field approximation can be apowerful tool for mesh completion in general and complex cases. Wepresent an adaptive, multigrid algorithm to extrapolate signeddistance fields. By defining a volume mask in a closed region boundingthe area that must be repaired, the algorithm computes a signeddist...

Depth reconstruction or acquisition with a 3-D camera results in a video sequence where each pixel of a frame is annotated with a depth value. We propose an approach to combine this depth information into a 3-D model of the assumedly static scene. For processing of video, we have to satisfy strong requirements on computational and storage efficiency, incremental processing and handling of uncer...

Segmentation is the art of partitioning an image into different regions where each one has some degree of uniformity in its feature space. A number of methods have been proposed and blind segmentation is one of them. It uses intrinsic image features, such as pixel intensity, color components and texture. However, some virtues, like poor contrast, noise and occlusion, can weaken the procedure. T...

This paper deals with the regularity of solutions of the Hamilton-Jacobi Inequality which arises in H∞ control. It shows by explicit counterexamples that there are gaps between existence of continuous and locally Lipschitz (positive definite and proper) solutions, and between Lipschitz and continuously differentiable ones. On the other hand, it is shown that it is always possible to smooth-out ...

Session A5 on numerical methods contained talks on colliding black holes, critical phenomena, investigation of singularities, and computer algebra .

The complexes [Ru([9]aneS(3))(dppz)Cl]Cl 1 and [Ru([12]aneS(4))(dppz)]Cl(2)2 ([9]aneS(3) = 1,4,7- trithiaciclononane and [12]aneS(4) = 1,4,7,10-tetrathiaciclododecane) were synthesised and fully characterised. These complexes belong to a small family of dipyridophenazine complexes with non-polypyridyl ancillary ligands . Interaction studies of these complexes with CT-DNA (UV/Vis titrations, ste...

Sinusoidal parameter estimation is a computationally-intensive task, which can pose problems for real-time implementations. In this paper, we propose a low-complexity iterative method for estimating sinusoidal parameters that is based on the linearisation of the model around an initial frequency estimate. We show that for N sinusoids in a frame of length L, the proposed method has a complexity ...

We define a theta operator on p-adic vector-valued modular forms on unitary groups of arbitrary signature, over a quadratic imaginary field in which p is inert. We study its effect on Fourier-Jacobi expansions and prove that it extends holomorphically beyond the μ-ordinary locus, when applied to scalar-valued forms.