Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287029756> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W4287029756 abstract "This paper investigates a variational model for splines in the image metamorphosis model for the smooth interpolation of key frames in the space of images. The Riemannian manifold of images based on the metamorphosis model defines shortest geodesic paths interpolating two images as minimizers of the path energy which measures the viscous dissipation caused by the motion field and dissipation caused by the material derivative of the image intensity along motion paths. In this paper, we aim at smooth interpolation of multiple key frame images picking up the general observation of cubic splines in Euclidean space which minimize the squared acceleration along the interpolation path. To this end, we propose the spline functional which combines quadratic functionals of the Eulerian motion acceleration and of the second material derivative of the image intensity as the proper notion of image intensity acceleration. We propose a variational time discretization of this model and study the convergence to a suitably relaxed time continuous model via $Gamma$-convergence methodology. As a byproduct, this also allows to establish the existence of metamorphosis splines for given key frame images as minimizers of the time continuous spline functional. The time discretization is complemented by effective spatial discretization based on finite differences and a stable B-spline interpolation of deformed quantities. A variety of numerical examples demonstrates the robustness and versatility of the proposed method in applications. For the minimization of the fully discrete energy functional a variant of the iPALM algorithm is used." @default.
- W4287029756 created "2022-07-25" @default.
- W4287029756 creator A5001713886 @default.
- W4287029756 creator A5008105705 @default.
- W4287029756 creator A5063603168 @default.
- W4287029756 date "2021-08-02" @default.
- W4287029756 modified "2023-09-27" @default.
- W4287029756 title "Consistent Approximation of Interpolating Splines in Image Metamorphosis" @default.
- W4287029756 doi "https://doi.org/10.48550/arxiv.2108.00731" @default.
- W4287029756 hasPublicationYear "2021" @default.
- W4287029756 type Work @default.
- W4287029756 citedByCount "0" @default.
- W4287029756 crossrefType "posted-content" @default.
- W4287029756 hasAuthorship W4287029756A5001713886 @default.
- W4287029756 hasAuthorship W4287029756A5008105705 @default.
- W4287029756 hasAuthorship W4287029756A5063603168 @default.
- W4287029756 hasBestOaLocation W42870297561 @default.
- W4287029756 hasConcept C10390562 @default.
- W4287029756 hasConcept C105795698 @default.
- W4287029756 hasConcept C115961682 @default.
- W4287029756 hasConcept C127413603 @default.
- W4287029756 hasConcept C134306372 @default.
- W4287029756 hasConcept C137800194 @default.
- W4287029756 hasConcept C165818556 @default.
- W4287029756 hasConcept C205203396 @default.
- W4287029756 hasConcept C28826006 @default.
- W4287029756 hasConcept C31447003 @default.
- W4287029756 hasConcept C31972630 @default.
- W4287029756 hasConcept C33923547 @default.
- W4287029756 hasConcept C41008148 @default.
- W4287029756 hasConcept C66938386 @default.
- W4287029756 hasConcept C73000952 @default.
- W4287029756 hasConceptScore W4287029756C10390562 @default.
- W4287029756 hasConceptScore W4287029756C105795698 @default.
- W4287029756 hasConceptScore W4287029756C115961682 @default.
- W4287029756 hasConceptScore W4287029756C127413603 @default.
- W4287029756 hasConceptScore W4287029756C134306372 @default.
- W4287029756 hasConceptScore W4287029756C137800194 @default.
- W4287029756 hasConceptScore W4287029756C165818556 @default.
- W4287029756 hasConceptScore W4287029756C205203396 @default.
- W4287029756 hasConceptScore W4287029756C28826006 @default.
- W4287029756 hasConceptScore W4287029756C31447003 @default.
- W4287029756 hasConceptScore W4287029756C31972630 @default.
- W4287029756 hasConceptScore W4287029756C33923547 @default.
- W4287029756 hasConceptScore W4287029756C41008148 @default.
- W4287029756 hasConceptScore W4287029756C66938386 @default.
- W4287029756 hasConceptScore W4287029756C73000952 @default.
- W4287029756 hasLocation W42870297561 @default.
- W4287029756 hasLocation W42870297562 @default.
- W4287029756 hasOpenAccess W4287029756 @default.
- W4287029756 hasPrimaryLocation W42870297561 @default.
- W4287029756 hasRelatedWork W1552621718 @default.
- W4287029756 hasRelatedWork W2077273013 @default.
- W4287029756 hasRelatedWork W2080978298 @default.
- W4287029756 hasRelatedWork W2129112923 @default.
- W4287029756 hasRelatedWork W2169592479 @default.
- W4287029756 hasRelatedWork W2269373875 @default.
- W4287029756 hasRelatedWork W2377739455 @default.
- W4287029756 hasRelatedWork W2384462540 @default.
- W4287029756 hasRelatedWork W2952633274 @default.
- W4287029756 hasRelatedWork W4285185407 @default.
- W4287029756 isParatext "false" @default.
- W4287029756 isRetracted "false" @default.
- W4287029756 workType "article" @default.