Name
Title | ||
|---|---|---|
Parallelizable inpainting and refinement of diffeomorphisms using Beltrami holomorphic flow |
Abstract | ||
|---|---|---|
In this paper, we propose novel algorithms for inpainting and refinement of diffeomorphisms. We first represent a diffeomorphism by its Beltrami coefficient. Then it is possible to refine and inpaint the diffeomorphism by processing this Beltrami coefficient. With the inpainted/refined Beltrami coefficient, we construct a new diffeomorphism using the exact Beltrami holomorphic flow algorithm proposed in this paper. We apply our algorithms on several practical applications, which include the inpainting of a highly distorted diffeomorphism, the inpainting of image sequences of deforming shapes, the super-resolution of diffeomorphisms and the global parameterization of cortical surfaces by combining local parameterizations. Experiments show that our algorithm can solve these problems with natural and smooth results. We demonstrate how our proposed method can be widely applied in areas from texture mapping to video processing, and from computer graphics to medical imaging. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/ICCV.2011.6126521 | ICCV |
Keywords | Field | DocType |
novel algorithm,texture mapping,image sequence inpainting,diffeomorphism super-resolution,beltrami coefficient,beltrami holomorphic flow algorithm,image resolution,diffeomorphism inpainting,computer graphics,video processing,cortical surface,distorted diffeomorphism,local parameterization,refined beltrami coefficient,global parameterization,diffeomorphism refinement,new diffeomorphism,image texture,parallelizable inpainting,image enhancement,medical imaging,exact beltrami holomorphic flow,computer graphic,super resolution | Parallelizable manifold,Texture mapping,Computer vision,Video processing,Holomorphic function,Image texture,Computer science,Inpainting,Artificial intelligence,Computer graphics,Diffeomorphism | Conference |
Volume | Issue | ISSN |
2011 | 1 | 1550-5499 |
ISBN | Citations | PageRank |
978-1-4577-1101-5 | 1 | 0.35 |
References | Authors | |
10 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tsz Wai Wong | 1 | 80 | 4.82 |
| Xianfeng Gu | 2 | 2997 | 189.71 |
| Tony F. Chan | 3 | 8733 | 659.77 |
| Lok Ming Lui | 4 | 332 | 30.16 |