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Towards Statistically Provable Geometric 3D Human Pose Recovery

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2021; 14 (1)

Recovering three-dimensional (3D) structures such as object poses from limited two-dimensional (2D) information is an important research problem in co......

Color Image Restoration by Saturation-Value Total Variation Regularization on Vector Bundles

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2021; 14 (1)

Color image restoration is one of the important tasks in color image processing. Covariant differentiation has been applied to handle vector bundles a......

A Variational Model for Spatially Weighting in Image Fusion

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2021; 14 (2)

In order to retain as many valuable details from the input source images as possible during the process of fusion, this paper proposes an adaptive wei......

Fast Imaging of Sources and Scatterers in a Stratified Ocean Waveguide

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2021; 14 (1)

In this work, we have studied the asymptotic behavior of Green's function and the reciprocity relation of the far-field pattern in the stratified ocea......

A Penalty Relaxation Method for Image Processing Using Euler's Elastica Model

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2021; 14 (1)

Euler's elastica model has been widely used in image processing. Since it is a challenging nonconvex and nonsmooth optimization model, most existing a......

Compressive Sampling for Array Cameras

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2021; 14 (1)

While design of high-performance lenses and image sensors has long been the focus of camera development, the size, weight, and power of image data pro......

A Color Elastica Model for Vector-Valued Image Regularization

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2021; 14 (2)

Models related to the Euler's elastica energy have proven to be useful for many applications including image processing. Extending elastica models to ......

Group Sparse Optimization for Images Recovery Using Capped Folded Concave Functions

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2021; 14 (1)

This paper considers the image recovery problem by taking group sparsity into account as the prior knowledge. This problem is formulated as a group sp......

New Restricted Isometry Property Analysis for l(1) - l(2) Minimization Methods

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2021; 14 (2)

The l(1) - l(2) regularization is a popular nonconvex yet Lipschitz continuous metric, which has been widely used in signal and image processing. The ......

A Class of Second-Order Geometric Quasilinear Hyperbolic PDEs and Their Application in Imaging

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2021; 14 (2)

Motivated by important applications in image processing, we study a class of second-order geometric quasilinear hyperbolic partial differential equati......

Limited-Angle CT Reconstruction via the L-1/L-2 Minimization

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2021; 14 (2)

In this paper, we consider minimizing the L-1/L-2 term on the gradient for a limited-angle scanning problem in computed tomography (CT) reconstruction......

Extended-Sampling-Bayesian Method for Limited Aperture Inverse Scattering Problems

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2020; 13 (1)

Limited aperture inverse scattering problems arise in many important applications. In this paper, we propose a new method combining the extended sampl......

Bayesian Inference and Uncertainty Quantification for Medical Image Reconstruction with Poisson Data

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2020; 13 (1)

We provide a complete framework for performing infinite dimensional Bayesian inference and uncertainty quantification for image reconstruction with Po......

Reconstruction of the High Resolution Phase in a Closed Loop Adaptive Optics

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2020; 13 (2)

Adaptive optics is a commonly used technique to correct the phase distortions caused by the Earth's atmosphere to improve the image quality of the gro......

A Variational Image Segmentation Model Based on Normalized Cut with Adaptive Similarity and Spatial Regularization

期刊: SIAM JOURNAL ON IMAGING SCIENCES, 2020; 13 (2)

Image segmentation is a fundamental research topic in image processing and computer vision. In recent decades, researchers developed a large number of......

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