A multisided generalization of Bézier surfaces
ACM Transactions on Graphics (TOG)
Interactive multiresolution surface viewing
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
The SPHERIGON: A Simple Polygon Patch for Smoothing Quickly Your Polygonal Meshes
CA '98 Proceedings of the Computer Animation
Lifting curve parameterization methods to isosurfaces
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
A quadrilateral rendering primitive
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Adaptive computations on conforming quadtree meshes
Finite Elements in Analysis and Design - Special issue: The sixteenth annual Robert J. Melosh competition
MC*: Star Functions for Marching Cubes
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Mean value coordinates for arbitrary planar polygons
ACM Transactions on Graphics (TOG)
Geometric visualization of clusters obtained from fuzzy clustering algorithms
Pattern Recognition
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
A geometric construction of coordinates for convex polyhedra using polar duals
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Spherical barycentric coordinates
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
On transfinite barycentric coordinates
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Exact and interpolatory quadratures for curvature tensor estimation
Computer Aided Geometric Design
Navigating in a Shape Space of Registered Models
IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH 2008 papers
Parameterization of 3D Surface Patches by Straightest Distances
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
Multimorphing: A tool for shape synthesis and analysis
Advances in Engineering Software
EnsembleMatrix: interactive visualization to support machine learning with multiple classifiers
Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
Spherical parameterization of marching cubes IsoSurfaces based upon nearest neighbor coordinates
Journal of Computer Science and Technology
Lifting curve parameterization methods to isosurfaces
Computer Aided Geometric Design
Adaptive computations on conforming quadtree meshes
Finite Elements in Analysis and Design - Special issue: The sixteenth annual Robert J. Melosh competition
Maximum entropy coordinates for arbitrary polytopes
SGP '08 Proceedings of the Symposium on Geometry Processing
Matching fluid simulation elements to surface geometry and topology
ACM SIGGRAPH 2010 papers
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Parameterizing marching cubes isosurfaces with natural neighbor coordinates
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Barycentric interpolation and mappings on smooth convex domains
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Computer Aided Geometric Design
CageIK: dual-Laplacian cage-based inverse kinematics
AMDO'10 Proceedings of the 6th international conference on Articulated motion and deformable objects
Cage-based tracking for performance animation
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part III
Non-rigid tracking using 2-d meshes
ACIVS'05 Proceedings of the 7th international conference on Advanced Concepts for Intelligent Vision Systems
Homotopic object reconstruction using natural neighbor barycentric coordinates
Transactions on Computational Science XIV
The Bernstein polynomial basis: A centennial retrospective
Computer Aided Geometric Design
Procedural Generation of Parcels in Urban Modeling
Computer Graphics Forum
A geometrical approach for evaluating left ventricular remodeling in myocardial infarct patients
Computer Methods and Programs in Biomedicine
Error estimates for generalized barycentric interpolation
Advances in Computational Mathematics
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
| Hi-index | 0.00 |
In this paper we present an easy computation of a generalized form of barycentric coordinates for irregular, convex n-sided polygons. Triangular barycentric coordinates have had many classical applications in computer graphics, from texture mapping to ray tracing. Our new equations preserve many of the familiar properties of the triangular barycentric coordinates with an equally simple calculation, contrary to previous formulations. We illustrate the properties and behavior of these new generalized barycentric coordinates through several example applications.