Piecewise surface flattening for non-distorted texture mapping
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Texture mapping progressive meshes
Proceedings of the 28th 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
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ABF++: fast and robust angle based flattening
ACM Transactions on Graphics (TOG)
Robust Feature Classification and Editing
IEEE Transactions on Visualization and Computer Graphics
Surface parameterization via aligning optimal local flattening
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Setting the boundary free: a composite approach to surface parameterization
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Linear angle based parameterization
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Mesh parameterization methods and their applications
Foundations and Trends® in Computer Graphics and Vision
Towards flattenable mesh surfaces
Computer-Aided Design
WireWarping: A fast surface flattening approach with length-preserved feature curves
Computer-Aided Design
Freeform surface flattening based on fitting a woven mesh model
Computer-Aided Design
A physically based method for triangulated surface flattening
Computer-Aided Design
Pattern flattening for orthotropic materials
Computer-Aided Design
A local/global approach to mesh parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
Technical Section: Automatic hole-filling of CAD models with feature-preserving
Computers and Graphics
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A novel planar mesh parameterization algorithm via flattening or unfolding is proposed by introducing a so-called one-step inverse approach (IA) based on physical plastic deformation of metal materials. As opposed to methods based on geometric idea, the algorithm is more suitable for CAD models, e.g. rapid prediction of blank shape in sheet metal forming for auto-body panels. Benefiting from proper pre-processing steps, rapid simulation of sheet metal forming and optimal initial solution guess, the proposed algorithm flattens meshes onto a plane with lower area distortion and minimizes the angular distortion. Some numerical examples of results generated by the new parameterization method are provided, and the corresponding analyses are given as well, such as distributions of strain, stress, thickness distribution and formability, etc.