Name
Abstract | ||
|---|---|---|
Recent work defines vector graphics using diffusion between colored curves. We explore higher-order fairing to enable more natural interpolation and greater expressive control. Specifically, we build on thin-plate splines which provide smoothness everywhere except at user-specified tears and creases (discontinuities in value and derivative respectively). Our system lets a user sketch discontinuity curves without fixing their colors, and sprinkle color constraints at sparse interior points to obtain smooth interpolation subject to the outlines. We refine the representation with novel contour and slope curves, which anisotropically constrain interpolation derivatives. Compound curves further increase editing power by expanding a single curve into multiple offsets of various basic types (value, tear, crease, slope, and contour). The vector constraints are discretized over an image grid, and satisfied using a hierarchical solver. We demonstrate interactive authoring on a desktop CPU. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1145/2024156.2024200 | ACM Trans. Graph. |
Keywords | Field | DocType |
desktop cpu,vector constraint,novel contour,smooth interpolation subject,slope curve,controlled thin-plate spline,vector graphics,freeform vector graphics,compound curve,color constraint,interpolation derivative,natural interpolation,satisfiability,thin plate spline,higher order,interior point | Spline (mathematics),Vector graphics,Mathematical optimization,Classification of discontinuities,Thin plate spline,Computer graphics (images),Computer science,Discontinuity (linguistics),Interpolation,Algorithm,Solver,Smoothness | Journal |
Volume | Issue | ISSN |
30 | 6 | 0730-0301 |
Citations | PageRank | References |
39 | 1.23 | 24 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mark Finch | 1 | 87 | 4.65 |
| John Snyder | 2 | 2579 | 172.17 |
| Hugues Hoppe | 3 | 9563 | 754.57 |