Concepts of an adaptive hierarchical finite element code
IMPACT of Computing in Science and Engineering
Piecewise surface flattening for non-distorted texture mapping
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Fitting smooth surfaces to dense polygon meshes
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Automatic reconstruction of B-spline surfaces of arbitrary topological type
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
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Fast and memory efficient polygonal simplification
Proceedings of the conference on Visualization '98
Texture mapping progressive meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Interactive geometry remeshing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Seamster: inconspicuous low-distortion texture seam layout
Proceedings of the conference on Visualization '02
Bounded-distortion piecewise mesh parameterization
Proceedings of the conference on Visualization '02
Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
An intuitive framework for real-time freeform modeling
ACM SIGGRAPH 2004 Papers
A remeshing approach to multiresolution modeling
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ABF++: fast and robust angle based flattening
ACM Transactions on Graphics (TOG)
A fast multigrid algorithm for mesh deformation
ACM SIGGRAPH 2006 Papers
Animation space: A truly linear framework for character animation
ACM Transactions on Graphics (TOG)
Mesh parameterization methods and their applications
Foundations and Trends® in Computer Graphics and Vision
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
A Framework for Brain Registration via Simultaneous Surface and Volume Flow
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
Spectral conformal parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
Estimating the Laplace-Beltrami operator by restricting 3D functions
SGP '09 Proceedings of the Symposium on Geometry Processing
Parameterizing subdivision surfaces
ACM SIGGRAPH 2010 papers
Efficient linear system solvers for mesh processing
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Efficient texture mapping by homogeneous patch discovery
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
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A texture atlas is an efficient way to represent information (like colors, normals, displacement maps ...) on triangulated surfaces. The LSCM method (Least Squares ConformalMaps) automatically generates a texture atlas from a meshed model. For large charts (over 100k facets), the convergence of the numerical solver may be slow. It is well known that the conformality criterion, minimized by LSCM, also corresponds to a harmonicity condition, meaning that barycentric coordinates are locally preserved through the parameterization. This has two different consequences :cascadic multigrid methods (coarse to fine) are well adapted to this criterion, and dramatically speed up the convergence of the numerical solver ;the obtained parameterization naturally minimizes texture swimming when used to texture-map a progressive mesh.In this paper, we introduce HLSCM (Hierarchical LSCM), a cascadic multigrid version of LSCM. As an example of possible applications, the paper shows how normal maps and simplified models can be automatically generated from large scanned meshes. Using these normal maps, the visual appearance of the model can be preserved even when 90% of the vertices are removed from the initial model.