Theoretical foundation of the weighted Laplace inpainting problem

Hoeltgen, Laurent; Kleefeld, Andreas; Harris, Isaac; Breuß, Michael

doi:10.21136/am.2019.0206-18

Cited by 8 publications

(2 citation statements)

References 44 publications

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“…Recently [17], the "hard" boundary conditions in (1) have been replaced by softer weighting schemes, cf. again [20]. If we denote the weighting function by c : → R, then (1) becomes:…”

Section: Image Inpainting With Pdesmentioning

confidence: 99%

Towards PDE-Based Video Compression with Optimal Masks Prolongated by Optic Flow

2020

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Lossy image compression methods based on partial differential equations have received much attention in recent years. They may yield high-quality results but rely on the computationally expensive task of finding an optimal selection of data. For the possible extension to video compression, this data selection is a crucial issue. In this context, one could either analyse the video sequence as a whole or perform a frame-by-frame optimisation strategy. Both approaches are prohibitive in terms of memory and run time. In this work, we propose to restrict the expensive computation of optimal data to a single frame and to approximate the optimal reconstruction data for the remaining frames by prolongating it by means of an optic flow field. In this way, we achieve a notable decrease in the computational complexity. As a proof-of-concept, we evaluate the proposed approach for multiple sequences with different characteristics. In doing this, we discuss in detail the influence of possible computational setups. We show that the approach preserves a reasonable quality in the reconstruction and is very robust against errors in the flow field.

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“…Recently [17], the "hard" boundary conditions in (1) have been replaced by softer weighting schemes, cf. again [20]. If we denote the weighting function by c : → R, then (1) becomes:…”

Section: Image Inpainting With Pdesmentioning

confidence: 99%

Towards PDE-Based Video Compression with Optimal Masks Prolongated by Optic Flow

2020

Self Cite

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“…The fitting method is abbreviated as LD. LD has a good application in signal fitting [12][13][14]. It can fit missing information of an original image very well.…”

Section: Fitting Roismentioning

confidence: 99%

A computer-aided diagnosis system based on computed tomography images of pancreatic head adenocarcinoma applied for identifying pancreatoduodenectomy resection

Hui

Qiu

Liu

et al. 2019

Preprint

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Background: In a pathological examination of pancreaticoduodenectomy for pancreatic head adenocarcinoma, resection margins have no cancer cells within 1 mm, the resection is considered as R0 resection; resection margins have cancer cells within 1 mm, the resection is recognized as R1 resection. The pathological examinations of the resection margins are complicated and depend on the subjective experiences of physicians to some extent. This study aims to design a computer-aided diagnosis (CAD) system based on texture features of preoperative computer tomography (CT) images to evaluate a resection margin was R0 or R1.Methods: This study retrospectively analyzed 86 patients who were diagnosed as pancreatic head adenocarcinoma by preoperative abdominal CT examination. These patients underwent pancreaticoduodenectomies, then their resection margins were pathologically diagnosed as R0 or R1. The CAD system consists of five stages: (i) delineate and segment regions of interest (ROIs); (ii) by solving discrete Laplacian equations with Dirichlet boundary conditions, fit ROIs to rectangular regions; (iii) enhance textures of ROIs combining wavelet transform and fractional differential; (iv) extract texture features combining wavelet transform and statistical analysis methods; (v) reduce features using principal component analysis (PCA) and perform classification using support vector machine (SVM), use a linear kernel function and leave-one-out cross-training and testing to reduce overfitting. Mann-Whitney U-test is used to explore associations between texture features and histopathological characteristics.Results: The developed CAD system achieved an AUC (area under receiver operating characteristic curve) of 0.8614 and an accuracy of 84.88%. Setting p-value ≤ 0.01 in the Mann-Whitney U-test, two features of run-length matrix, which derived from diagonal subbands in wavelet decomposition, showed statistically significant differences between R0 and R1.Conclusions: It indicates that the developed CAD system is rewarding for discriminating R0 from R1. Texture features can potentially enhance physicians' diagnostic ability.

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Efficient Technique of Impulsive Noise Detection and Replacement in Color Digital Images

Smołka

2020

Sensor Networks and Signal Processing

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Theoretical foundation of the weighted Laplace inpainting problem

Cited by 8 publications

References 44 publications

Towards PDE-Based Video Compression with Optimal Masks Prolongated by Optic Flow

Towards PDE-Based Video Compression with Optimal Masks Prolongated by Optic Flow

A computer-aided diagnosis system based on computed tomography images of pancreatic head adenocarcinoma applied for identifying pancreatoduodenectomy resection

Efficient Technique of Impulsive Noise Detection and Replacement in Color Digital Images

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