Generalized Barycentric Coordinates on Irregular Polygons
By Mark Meyer, A. Barr, H. Lee, Mathieu Desbrun. J. Graphics, GPU, & Game Tools, 2002
322 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design
View Paper: https://www.semanticscholar.org/paper/e655fb49f43df77ce2361d2b9368a6c55750dbdd
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Gianmarco Manzini
- Alessandro Russo
- Natarajan Sukumar
- Christian Theobalt
- Michael Zollhöfer
- A. Tabarraei
- L. Beirão da Veiga
- Matthias Nießner
In Computer Graphics and Computer-Aided Design
- Matthias Nießner
- Christian Theobalt
- Michael Zollhöfer
- Justus Thies
- Marc Stamminger
- Natarajan Sukumar
- Gianmarco Manzini
- Alessandro Russo
Citations in the corpus
- Harmonic coordinates for character articulation (2007, unknown): “The problem of generalizing barycentric coordinates is rich and has received considerable attention in recent years ([Wachpress 1975], [R.Sibson 1981], [Loop and DeRose 1989], [Warren 1996], [Meyer et al. 2002], [Floater 2003]).”
- Real-time expression transfer for facial reenactment (2015, methodology): “Warping is based on tracked 2D landmarks around the mouth and implemented using generalized barycentric coordinates [Meyer et al. 2002].”
- Conforming polygonal finite elements (2004, methodology): “We focus on two recent and important results that are germane to our explorations on polygonal finite elements: a generalized barycentric co-ordinate for n-gons [ 42 ] and mean value co-ordinates [43], which is particularly striking.”
- The Bernstein polynomial basis: A centennial retrospective (2012, background): “[143] showed that the Wachspress coordinates can be expressed (see Figure 20) as”
- EnsembleMatrix: interactive visualization to support machine learning with multiple classifiers (2009, methodology): “To make the appropriate mapping of position to weight, we parameterized the polygon using Wachspress coordinates [24].”
- Extended finite element method on polygonal and quadtree meshes (2008, methodology): “[9] introduced a simple formula for Wachspress’s basis functions, whereas Floater [10] utilized the mean value theorem for harmonic functions to propose a new barycentric coordinate on irregular polygons.”