A Vectorial Solver for Free-form Vector Gradient
Abstract
The creation of free-form vector drawings as been greatly improved in recent years with techniques based on harmonic or bi-harmonic interpolation. Such methods offer the best trade-off between spar- sity (keeping the number of control points small) and expressivity (achieving complex shapes and gradients). Unfortunately, the lack of a robust and versatile method to compute such images still lim- its their use in real-world applications. In this paper, we introduce a vectorial solver for the computation of free-form vector gradi- ents. 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 interme- diate representation is hidden from the user: it is dynamically up- dated using FEM during drawing when control points are edited. Since it is output-insensitive, our approach enables novel possibili- ties for (bi)-harmonic vector drawings such as instancing, layering, deformation, texture and environment mapping. Finally, in this pa- per we also generalize and extend the set of drawing possibilities. In particular, we show how to locally control vector gradients.
Domains
Graphics [cs.GR]
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large.jpg (56.15 Ko)
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envmap.png (742.55 Ko)
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normalmap.png (306.3 Ko)
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parapluie-mix.png (223.04 Ko)
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poringTorusMesh.png (439.81 Ko)
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sphere-transmission.png (593.53 Ko)
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teaser-layering.png (780.16 Ko)
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