Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Direct Anisotropic Quad-Dominant Remeshing
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Parameterization of triangle meshes over quadrilateral domains
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
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
Spectral quadrangulation with orientation and alignment control
ACM SIGGRAPH Asia 2008 papers
Quadrilateral mesh simplification
ACM SIGGRAPH Asia 2008 papers
Extracting lines of curvature from noisy point clouds
Computer-Aided Design
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
ACM SIGGRAPH 2009 papers
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
A wave-based anisotropic quadrangulation method
ACM SIGGRAPH 2010 papers
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In this paper, we present a new algorithm for quad-dominant meshing of unorganized point clouds based on periodic global parameterization. Our meshing method is guided by principal directions so as to preserve the intrinsic geometric properties. We use local Delaunay triangulation to smooth the initial principal directions and adapt the global parameterization to point clouds. By optimizing the fairness measure we can find the two scalar functions whose gradients best align with the guided principal directions. To handle the redundant vertices in the iso-lines due to overlapped triangles, an approach is specially designed to clean the iso-lines. Our approach is fully automatic and applicable to a surface of arbitrary genus. We also show an application of our method in curve skeleton extraction from incomplete point cloud data.