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The paper deals with effective calculation of Thin-Plate Splines (TPS). We present a new modification of hierarchical approximation scheme. Unlike 2-D schemes published earlier, we propose an 1-D approximation. The new method yields lower computing complexity while it preserves the approximation accuracy.
In this paper, we describe an efficient method for 3D image segmentation. The method uses a PDE model – the so called generalized subjective surface equation which is an equation of advection-diffusion type. The main goal is to develop an efficient and stable numerical method for solving this problem. The numerical solution is based on semi-implicit time discretization and flux-based level set finite volume space discretization. The space discretization is discussed in details and we introduce three...
Floating-point arithmetic provides a fast but inexact way of
computing geometric predicates. In order for these predicates to be
exact, it is important to rule out all the numerical situations where
floating-point computations could lead to wrong results. Taking into
account all the potential problems is a tedious work to do by hand. We
study in this paper a floating-point implementation of a filter for the
orientation-2 predicate, and how a formal and partially automatized
verification of this...
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