Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Merging Polyhedral Shapes with Scattered Features
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
ACM SIGGRAPH 2004 Papers
Geometry clipmaps: terrain rendering using nested regular grids
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Cross-parameterization and compatible remeshing of 3D models
ACM SIGGRAPH 2004 Papers
Parameterization of triangle meshes over quadrilateral domains
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Greedy optimal homotopy and homology generators
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Image deformation using moving least squares
ACM SIGGRAPH 2006 Papers
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Periodic global parameterization
ACM Transactions on Graphics (TOG)
An image processing approach to surface matching
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Rectangular multi-chart geometry images
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Controlled field generation for quad-remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Globally Optimal Surface Mapping for Surfaces with Arbitrary Topology
IEEE Transactions on Visualization and Computer Graphics
Spectral quadrangulation with orientation and alignment control
ACM SIGGRAPH Asia 2008 papers
Möbius voting for surface correspondence
ACM SIGGRAPH 2009 papers
ACM SIGGRAPH 2009 papers
Technical Section: Dynamic harmonic fields for surface processing
Computers and Graphics
Geometry-aware direction field processing
ACM Transactions on Graphics (TOG)
A wave-based anisotropic quadrangulation method
ACM SIGGRAPH 2010 papers
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Data-driven suggestions for creativity support in 3D modeling
ACM SIGGRAPH Asia 2010 papers
Template-Based 3D Model Fitting Using Dual-Domain Relaxation
IEEE Transactions on Visualization and Computer Graphics
Sketch-based generation and editing of quad meshes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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This paper presents a new approach for the quadrangulation of triangular surfaces. While previous work focused on fully automatic computations or explicitly involved user control for the integration of subjective decisions, we introduce a new example-based quad-meshing paradigm, in order to easily reproduce the subjective decisions made in the design of reference examples found in a corpus. The algorithm enables to reproduce the subjective aspects of the example (extraordinary vertex layout) while minimizing the induced distortion; allowing users to leverage reference meshes considered of quality for fast prototyping. At the core of our technique, we provide the analytic gradient of as-rigid-as-possible 2D transformations. This expression is implemented in a fast solver to automatically register planar unfoldings of the geometries, yielding low-distortion cross maps of the examples onto the input in 3D. In addition, our technique provides interactive feedback for user modifications of the cross maps computed automatically. Our technique supports localized mesh composition and enables to reproduce meshing styles despite intrinsic reflective symmetry, large variation from isometry or even topological variation. Experiments demonstrate the accuracy of the mimicking process as well as its time efficiency.