Mesh generation for domains with small angles
Proceedings of the sixteenth annual symposium on Computational geometry
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Image vectorization using optimized gradient meshes
ACM SIGGRAPH 2007 papers
On Linear Variational Surface Deformation Methods
IEEE Transactions on Visualization and Computer Graphics
Real-time rendering of textures with feature curves
ACM Transactions on Graphics (TOG)
Diffusion curves: a vector representation for smooth-shaded images
ACM SIGGRAPH 2008 papers
Random-access rendering of general vector graphics
ACM SIGGRAPH Asia 2008 papers
A GPU Laplacian solver for diffusion curves and Poisson image editing
ACM SIGGRAPH Asia 2009 papers
Rendering surface details with diffusion curves
ACM SIGGRAPH Asia 2009 papers
Diffusion constraints for vector graphics
NPAR '10 Proceedings of the 8th International Symposium on Non-Photorealistic Animation and Rendering
Volumetric modeling with diffusion surfaces
ACM SIGGRAPH Asia 2010 papers
Freeform vector graphics with controlled thin-plate splines
Proceedings of the 2011 SIGGRAPH Asia Conference
Diffusion curve textures for resolution independent texture mapping
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Smooth Shape-Aware Functions with Controlled Extrema
Computer Graphics Forum
Fast Rendering of Diffusion Curves with Triangles
IEEE Computer Graphics and Applications
A Subdivision-Based Representation for Vector Image Editing
IEEE Transactions on Visualization and Computer Graphics
A ray tracing approach to diffusion curves
EGSR'11 Proceedings of the Twenty-second Eurographics conference on Rendering
Texture design and draping in 2D images
EGSR'09 Proceedings of the Twentieth Eurographics conference on Rendering
Ardeco: automatic region detection and conversion
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Depicting stylized materials with vector shade trees
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Diffusion curves: a vector representation for smooth-shaded images
Communications of the ACM
Biharmonic diffusion curve images from boundary elements
ACM Transactions on Graphics (TOG)
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The creation of free-form vector drawings has been greatly improved in recent years with techniques based on (bi)-harmonic interpolation. Such methods offer the best trade-off between sparsity (keeping the number of control points small) and expressivity (achieving complex shapes and gradients). In this paper, we introduce a vectorial solver for the computation of free-form vector gradients. Based on Finite Element Methods (FEM), its key feature is to output a low-level vector representation suitable for very fast GPU accelerated rasterization and close-form evaluation. This intermediate representation is hidden from the user: it is dynamically updated using FEM during drawing when control points are edited. Since it is output-insensitive, our approach enables novel possibilities for (bi)-harmonic vector drawings such as instancing, layering, deformation, texture and environment mapping. Finally, in this paper we also generalize and extend the set of drawing possibilities. In particular, we show how to locally control vector gradients.