Search Results - "Hormann, Kai"

On the numerical stability of linear barycentric rational interpolation by Fuda, Chiara, Campagna, Rosanna, Hormann, Kai

“…The barycentric forms of polynomial and rational interpolation have recently gained popularity, because they can be computed with simple, efficient, and…”
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Publisher Correction to: On the numerical stability of linear barycentric rational interpolation by Fuda, Chiara, Campagna, Rosanna, Hormann, Kai

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The point in polygon problem for arbitrary polygons by Hormann, Kai, Agathos, Alexander

“…A detailed discussion of the point in polygon problem for arbitrary polygons is given. Two concepts for solving this problem are known in literature: the…”
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Curvature continuous corner cutting by Hormann, Kai, Mancinelli, Claudio

“…Subdivision schemes are used to generate smooth curves by iteratively refining an initial control polygon. The simplest such schemes are corner cutting…”
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A new stable method to compute mean value coordinates by Fuda, Chiara, Hormann, Kai

“…The generalization of barycentric coordinates to arbitrary simple polygons with more than three vertices has been a subject of study for a long time. Among the…”
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Barycentric rational interpolation at quasi-equidistant nodes by Kai Hormann, Georges Klein, Stefano De Marchi

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Shape control tools for periodic Bézier curves by Ramanantoanina, Andriamahenina, Hormann, Kai

“…Bézier curves are an essential tool for curve design. Due to their properties, common operations such as translation, rotation, or scaling can be applied to…”
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New shape control tools for rational Bézier curve design by Ramanantoanina, Andriamahenina, Hormann, Kai

“…Bézier curves are indispensable for geometric modelling and computer graphics. They have numerous favourable properties and provide the user with intuitive…”
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Efficient Point-to-Point Resistance Distance Queries in Large Graphs by Gotsman, Craig, Hormann, Kai

“…We describe a method to efficiently compute point-to-point resistance distances in a graph, which are notoriously difficult to compute from the raw graph data…”
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Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets by Hormann, Kai, Zheng, Jianmin

“…Planar polynomial curves have rational offset curves, if they are either Pythagorean-hodograph (PH) or indirect Pythagorean-hodograph (iPH) curves. In this…”
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LFS-Aware Surface Reconstruction from Unoriented 3D Point Clouds by Fu, Rao, Hormann, Kai, Alliez, Pierre

“…We present a novel approach for generating isotropic surface triangle meshes directly from unoriented 3D point clouds, with the mesh density adapting to the…”
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An iterative approach to barycentric rational Hermite interpolation by Cirillo, Emiliano, Hormann, Kai

“…In this paper we study an iterative approach to the Hermite interpolation problem, which first constructs an interpolant of the function values at n + 1 nodes…”
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Polynomial reproduction for univariate subdivision schemes of any arity by Conti, Costanza, Hormann, Kai

“…In this paper, we study the ability of convergent subdivision schemes to reproduce polynomials in the sense that for initial data, which is sampled from some…”
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Non-uniform interpolatory subdivision schemes with improved smoothness by Dyn, Nira, Hormann, Kai, Mancinelli, Claudio

“…Subdivision schemes are used to generate smooth curves or surfaces by iteratively refining an initial control polygon or mesh. We focus on univariate, linear,…”
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Histogram equalization using a selective filter by Dyke, Roberto M., Hormann, Kai

“…Many popular modern image processing software packages implement a naïve form of histogram equalization. This implementation is known to produce histograms…”
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Smooth bijective maps between arbitrary planar polygons by Schneider, Teseo, Hormann, Kai

“…Mapping from one planar polygonal domain to another is a fundamental problem in computer graphics and geometric modelling. Exploiting the properties of…”
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Singular cases of planar and spatial C1 Hermite interpolation problems based on quintic Pythagorean-hodograph curves by Farouki, Rida T., Hormann, Kai, Nudo, Federico

“…•Singular cases of the planar and spatial PH quintic Hermite interpolation problems are identified.•Gaps in existing theory are addressed by a comprehensive…”
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New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves by Hormann, Kai, Romani, Lucia, Viscardi, Alberto

“…The aim of this work is to provide new characterizations of planar quintic Pythagorean-hodograph curves. The first two are algebraic and consist of two and…”
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Iterative coordinates by Deng, Chongyang, Chang, Qingjun, Hormann, Kai

“…Barycentric coordinates provide a simple way of expressing the linear interpolant to data given at the vertices of a triangle and have numerous applications in…”
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Pyramid algorithms for barycentric rational interpolation by Hormann, Kai, Schaefer, Scott

“…We present a new perspective on the Floater–Hormann interpolant. This interpolant is rational of degree (n,d), reproduces polynomials of degree d, and has no…”
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