Interactive multiresolution mesh editing
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
The simplest subdivision scheme for smoothing polyhedra
ACM Transactions on Graphics (TOG)
Behaviour of recursive division surfaces near extraordinary points
Seminal graphics
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Efficient algorithms for Petersen's matching theorem
Journal of Algorithms
Refinement operators for triangle meshes
Computer Aided Geometric Design
A generative classification of mesh refinement rules with lattice transformations
Computer Aided Geometric Design
√2 Subdivision for quadrilateral meshes
The Visual Computer: International Journal of Computer Graphics
A realtime GPU subdivision kernel
ACM SIGGRAPH 2005 Papers
Foundations of Multidimensional and Metric Data Structures (The Morgan Kaufmann Series in Computer Graphics and Geometric Modeling)
A pattern-based data structure for manipulating meshes with regular regions
GI '05 Proceedings of Graphics Interface 2005
Biorthogonal loop-subdivision wavelets
Computing - Geometric modelling dagstuhl 2002
Technical Section: Multiresolution for curves and surfaces based on constraining wavelets
Computers and Graphics
Ternary subdivision for quadrilateral meshes
Computer Aided Geometric Design
Edge-Based Data Structures for Solid Modeling in Curved-Surface Environments
IEEE Computer Graphics and Applications
A Discrete Approach to Multiresolution Curves and Surfaces
ICCSA '08 Proceedings of the 2008 International Conference on Computational Sciences and Its Applications
Extension of half-edges for the representation of multiresolution subdivision surfaces
The Visual Computer: International Journal of Computer Graphics
Special Section on Graphics Interface: Atlas of connectivity maps
Computers and Graphics
Hi-index | 0.00 |
Semiregular models are an important subset of models in computer graphics. They are typically obtained by applying repetitive regular refinements on an initial arbitrary model. As a result, their connectivity strongly resembles regularity due to these refinement operations. Although data structures exist for regular or irregular models, a data structure designed to take advantage of this semiregularity is desirable. In this paper, we introduce such a data structure called atlas of connectivity maps for semiregular models resulting from arbitrary refinements. This atlas maps the connectivity information of vertices and faces on separate 2D domains called connectivity maps. The connectivity information between adjacent connectivity maps is determined by a linear transformation between their 2D domains. We also demonstrate the effectiveness of our data structure on subdivision and multiresolution applications.