2011
DOI: 10.1007/978-3-642-19391-0_18
|View full text |Cite
|
Sign up to set email alerts
|

TGV-Fusion

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
44
0

Year Published

2011
2011
2020
2020

Publication Types

Select...
4
3
2

Relationship

0
9

Authors

Journals

citations
Cited by 36 publications
(46 citation statements)
references
References 10 publications
0
44
0
Order By: Relevance
“…Compared to the TV-functional [2] we recall that constant functions are in the kernel of TV, while polynomials of degree strictly less than k constitute the kernel of TGV k ⃗ α ; see [1]. Since its introduction, TGV k ⃗ α functionals have proved to be effective in diverse mathematical imaging problems, including denoising [1], reconstruction of magnetic resonance images from highly undersampled data [3], deconvolution [4] and fusion of stereographical data [5]. This success motivates, besides inherent mathematical interest, to further investigate analytical properties of these functionals.…”
Section: The L 1 -Tgv 2 Functionalmentioning
confidence: 99%
“…Compared to the TV-functional [2] we recall that constant functions are in the kernel of TV, while polynomials of degree strictly less than k constitute the kernel of TGV k ⃗ α ; see [1]. Since its introduction, TGV k ⃗ α functionals have proved to be effective in diverse mathematical imaging problems, including denoising [1], reconstruction of magnetic resonance images from highly undersampled data [3], deconvolution [4] and fusion of stereographical data [5]. This success motivates, besides inherent mathematical interest, to further investigate analytical properties of these functionals.…”
Section: The L 1 -Tgv 2 Functionalmentioning
confidence: 99%
“…The main requirement for such a smoothing algorithm is that it minimizes noise but preserves sharp edges and small structures. For this reason and to accelerate the plane detection we smooth the data using the "total generalized variation" TGV [13]. This method has the advantage that it can be efficiently implemented on the GPU and is therefore very fast and robust.…”
Section: Dsm Smoothingmentioning
confidence: 99%
“…First is a smoothing of the DSM with a total generalized variation method (TGV) [13]. Then all roof planes get extracted using an approach first introduced by [14] and employing so-called random sampling and conceptual representation.…”
Section: Approachmentioning
confidence: 99%
“…A more advanced technique was proposed by Papasaika [25], in which sparse representation supported by weights served for fusion of DEMs from various data sources. Pock et al [26] proposed Total Generalized Variational (TGV) methods for fusion of airborne optical-stereoscopic DEMs, while a weighted version of total variational (TV) method and TGV were examined by Kuschk et al [27] on different space borne optical DEMs. Fuss et al utilized the modified K-means clustering algorithm to fuse multiple overlapping radargrammetric Envisat-2 DEMs [28].…”
Section: Introductionmentioning
confidence: 99%