Name
Abstract | ||
|---|---|---|
The Riemannian metamorphosis model introduced and analyzed in [7,12] is taken into account to develop an image extrapolation tool in the space of images. To this end, the variational time discretization for the geodesic interpolation proposed in [2] is picked up to define a discrete exponential map. For a given weakly differentiable initial image and a sufficiently small initial image variation it is shown how to compute a discrete geodesic extrapolation path in the space of images. The resulting discrete paths are indeed local minimizers of the corresponding discrete path energy. A spatial Galerkin discretization with cubic splines on coarse meshes for image deformations and piecewise bilinear finite elements on fine meshes for image intensity functions is used to derive a fully practical algorithm. The method is applied to real images and image variations recorded with a digital camera. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/978-3-319-58771-4_38 | Lecture Notes in Computer Science |
Keywords | Field | DocType |
Image extrapolation,Shape space,Elastic registration,Exponential map | Discretization,Mathematical analysis,Galerkin method,Interpolation,Extrapolation,Real image,Exponential map (Riemannian geometry),Mathematics,Geodesic,Bilinear interpolation | Conference |
Volume | ISSN | Citations |
10302 | 0302-9743 | 1 |
PageRank | References | Authors |
0.37 | 9 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexander Effland | 1 | 9 | 5.41 |
| Martin Rumpf | 2 | 230 | 18.97 |
| Florian Schäfer | 3 | 10 | 5.80 |