Some new distortion measures for quadrilaterals
Finite Elements in Analysis and Design
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
A methodology for quadrilateral finite element mesh coarsening
Engineering with Computers - Special Issue: 5th Symposium on Trends in Unstructured Mesh Generation in 2006. Guest Editor: Steven J. Owen
Spectral quadrangulation with orientation and alignment control
ACM SIGGRAPH Asia 2008 papers
ACM SIGGRAPH 2009 papers
ACM SIGGRAPH 2010 papers
A wave-based anisotropic quadrangulation method
ACM SIGGRAPH 2010 papers
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Computer Aided Geometric Design
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We study the problem of optimizing the face elements of a quad mesh surface, that is, re-sampling a given quad mesh to make it possess, as much as possible, face elements of some desired aspect ratio and size. Unlike previous quad mesh optimization/improvement methods based on local operations on a small group of elements, we adopt a global approach that does not introduce extra singularities and therefore preserves the original quad structure of the input mesh. Starting from a collection of quad patches extracted from an input quad mesh, two global operations, i.e. re-sampling and re-distribution, are performed to optimize the number and spacings of grid lines in each patch. Both operations are formulated as simple optimization problems with linear constraints.