2020
DOI: 10.1109/tmi.2019.2926501
|View full text |Cite
|
Sign up to set email alerts
|

Specular Reflections Removal for Endoscopic Image Sequences With Adaptive-RPCA Decomposition

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

2020
2020
2024
2024

Publication Types

Select...
4
4

Relationship

0
8

Authors

Journals

citations
Cited by 48 publications
(44 citation statements)
references
References 45 publications
0
44
0
Order By: Relevance
“…from Theorem 1 and Corollary 1 of [24] we get directly (6). Notice that (6) generalizes the expressions for the variational form of the nuclear norm [25], which are obtained by setting p = 1 in (6) (recall that the nulcear norm is the Schatten-1 norm).…”
Section: Problem Formulation and Batch Irls Rpcamentioning
confidence: 75%
See 1 more Smart Citation
“…from Theorem 1 and Corollary 1 of [24] we get directly (6). Notice that (6) generalizes the expressions for the variational form of the nuclear norm [25], which are obtained by setting p = 1 in (6) (recall that the nulcear norm is the Schatten-1 norm).…”
Section: Problem Formulation and Batch Irls Rpcamentioning
confidence: 75%
“…S INCE the seminal work of Candes et al [1], robust principal component analysis (RPCA) has attracted considerable attention both in research and in applications. Following the principal component pursuit (PCP) [1], a plethora of new algorithms have been developed [2] and applied in diverse fields such as low-level image processing [3], [4], medical imaging [5], [6], hyperspectral imaging [7], [8], video processing and analysis [9], [10], computer vision [11], [12] to name but a few [13], [14].…”
Section: Introductionmentioning
confidence: 99%
“…Firstly, from 16 pieces of literature [ 17 , 18 , 21 23 , 25 , 26 , 28 , 31 , 32 , 34 39 ] concerning SR elimination from endoscopic images, we extracted 50 images accompanied by their corresponding result images as a new dataset, called Ref_set. Due to the limited research specializing in SR regions elimination of colposcopic images, we extended the images to a broader range of endoscopic images, including some colonoscopic and laparoscopic images.…”
Section: Resultsmentioning
confidence: 99%
“…It is worth noting that colposcopic images have many similarities with other endoscopic images, so some standard research methods can be applied to the problem of eliminating SR regions in the colposcopic images. Colonoscopy [ 25 ], thoracoscopy [ 26 ], laparoscopy [ 27 ], and more researches on eliminating SR regions in these images [ 28 , 29 ] can be used for reference. In the report of Wang et al [ 30 ], they used Arnold's method [ 25 ] in colonoscopy images and combined it with the exemplar-based method to eliminate SR regions in colposcopic images, showing better effect.…”
Section: Related Workmentioning
confidence: 99%
“…Recently researches have shown that the PCP method has strong theoretical guarantees for the video foregroundbackground separation [18], endoscopic images highlight removing and so on. For example, Li et al [22] proposed Adaptive-RPCA which can remove the specular reflections in endoscopic image sequences well. however, researchers also found that the PCP method has many defects [19], [20] as follows: 1) the nuclear norm in the PCP method is the l 1 -norm of the singular value essentially, which processes the singular value uniformly, and always generates the problem of over punishment of the singular value; 2) the calculation cost of the PCP method is relatively high; 3) the surrogate function in the PCP method is a biased estimate which has low approximation accuracy.…”
Section: Introductionmentioning
confidence: 99%