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Spherical barycentric coordinates
We develop spherical barycentric coordinates. Analogous to classical, planar barycentric coordinates that describe the positions of points in a plane with respect to the vertices of a given planarExpand
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Analysis and design of discrete normals and curvatures
Accurate estimations of geometric properties of a surface (a curve) from its discrete approximation are important for many computer graphics and computer vision applications. To assess and improveExpand
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Exact and interpolatory quadratures for curvature tensor estimation
The computation of the curvature of smooth surfaces has a long history in differential geometry and is essential for many geometric modeling applications such as feature detection. We present a novelExpand
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Asymptotic analysis of discrete normals and curvatures of polylines
Accurate estimations of geometric properties of a smooth curve from its discrete approximation are important for many computer graphics and computer vision applications. To assess and improve theExpand
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Higher Order Barycentric Coordinates
In recent years, a wide range of generalized barycentric coordinates has been suggested. However, all of them lack control over derivatives. We show how the notion of barycentric coordinates can beExpand
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Origin of the “green gap”: Increasing nonradiative recombination in indium‐rich GaInN/GaN quantum well structures
Using time-resolved photoluminescence spectroscopy on GaInN/GaN multiple quantum well structures, we analyze the radiative and nonradiative processes contributing to the “green gap” in GaN-basedExpand
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Exact and Approximate Quadratures for Curvature Tensor Estimation
Accurate estimations of geometric properties of a surface from its discrete approximation are important for many computer graphics and geometric modeling applications. In this paper, we derive exactExpand
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Strain-induced defects as nonradiative recombination centers in green-emitting GaInN/GaN quantum well structures
The origin of the green gap for GaInN/GaN quantum wells is investigated via temperature-dependent time-resolved photoluminescence spectroscopy. A strong correlation between nonradiative lifetimes andExpand
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Mean value coordinates for arbitrary spherical polygons and polyhedra in $\mathbb{R}^{3}$
Since their introduction, mean value coordinates enjoy ever increasing popularity in computer graphics and computational mathematics because they exhibit a variety of good properties. MostExpand
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Mean Value Bézier Maps
Bernstein polynomials are a classical tool in Computer Aided Design to create smooth maps with a high degree of local control. They are used for the construction of Bezier surfaces, free-formExpand
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