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- Publications
- Influence

Spherical barycentric coordinates

- Torsten Langer, A. Belyaev, H. Seidel
- Computer Science, Mathematics
- SGP '06
- 26 June 2006

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 planar… Expand

Analysis and design of discrete normals and curvatures

- Torsten Langer, A. Belyaev, H. Seidel
- Mathematics
- 2005

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 improve… Expand

- 16
- 2
- PDF

Exact and interpolatory quadratures for curvature tensor estimation

- Torsten Langer, A. Belyaev, H. Seidel
- Mathematics, Computer Science
- Comput. Aided Geom. Des.
- 1 November 2007

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 novel… Expand

Asymptotic analysis of discrete normals and curvatures of polylines

- Torsten Langer, A. Belyaev, H. Seidel
- Mathematics, Computer Science
- SCCG '05
- 12 May 2005

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 the… Expand

Higher Order Barycentric Coordinates

- Torsten Langer, H. Seidel
- Computer Science
- Comput. Graph. Forum
- 1 April 2008

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 be… Expand

Origin of the “green gap”: Increasing nonradiative recombination in indium‐rich GaInN/GaN quantum well structures

- Torsten Langer, A. Kruse, +6 authors A. Hangleiter
- Chemistry
- 1 July 2011

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-based… Expand

Exact and Approximate Quadratures for Curvature Tensor Estimation

- Torsten Langer, A. Belyaev, H. Seidel
- Mathematics
- 2005

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 exact… Expand

- 10
- PDF

Strain-induced defects as nonradiative recombination centers in green-emitting GaInN/GaN quantum well structures

- Torsten Langer, H. Jönen, Andreas J. Kruse, H. Bremers, U. Rossow, A. Hangleiter
- Physics
- 10 July 2013

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 and… Expand

Mean value coordinates for arbitrary spherical polygons and polyhedra in $\mathbb{R}^{3}$

- A. Belyaev, Torsten Langer, H. Seidel
- Mathematics
- 2006

Since their introduction, mean value coordinates enjoy ever increasing popularity in computer graphics and computational mathematics because they exhibit a variety of good properties. Most… Expand

- 7
- PDF

Mean Value Bézier Maps

- Torsten Langer, A. Belyaev, H. Seidel
- Computer Science, Mathematics
- GMP
- 23 April 2008

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-form… Expand