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Given an input set of planar points, which occupy a non-convex polygon area, possibly with holes, we reconstruct the shape of its boundary domain, without previous knowledge of which points or edges belong to the boundary.
Our results also show that the proposed planar simplification and triangulation algorithm removes more than 90% of the input planar points, leading to a triangulation with only 10% of the original quantity of triangles per planar segment.
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We fair and fit planar point sets by minimal-energy arc splines.
Our goal is to design algorithms that give a linearity measure for planar point sets.
The sound production is predicted by using a 2-D planar point vortex model combined with the Vortex Sound Theory.
The kernel-smoothed density-ratio or 'relative risk' function for planar point data is a useful tool for examining disease rates over a certain geographical region.
In order to reduce the estimation error, we propose a method that extracts and selects the features with reliable depth values, i.e. planar point features.
This paper deals with the problem of C2 cubic spline interpolation under geometric boundary conditions, that is, fixing the unit-tangent vector and the curvature at the end points of a planar point-set.
Regarding the wind, Eiffel could only study its effects from a static planar point of view, while the model allowed us to follow a 3D approach and to assess the expected displacements under different loads.
The convex hull is found by Graham algorithm, which mainly includes the following steps: In an arbitrary planar point set, after sorting and scanning, its convex hull is shown as Figs. 3 and 4 show the circular data and its convex hull.
However, at S, in contrast to the situation at R: (68) d 2 U B dU M 2 = d 3 U B dU M 3 = 0, d 4 U B dU M 4 < 0, indicating a planar point of the curve U B (U M ) at the stability limit.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com