Regularization with Metric Double Integrals of Functions with Values in a Set of Vectors [0.03%]
具有向量集值的函数的度量双重积分正则化
René Ciak,Melanie Melching,Otmar Scherzer
René Ciak
We present an approach for variational regularization of inverse and imaging problems for recovering functions with values in a set of vectors. We introduce regularization functionals, which are derivative-free double integrals of such func...
Regularization with Metric Double Integrals of Functions with Values in a Set of Vectors [0.03%]
具有向量集值的函数的度量双重积分正则化
René Ciak,Melanie Melching,Otmar Scherzer
René Ciak
We present an approach for variational regularization of inverse and imaging problems for recovering functions with values in a set of vectors. We introduce regularization functionals, which are derivative-free double integrals of such func...
Optimal Paths for Variants of the 2D and 3D Reeds-Shepp Car with Applications in Image Analysis [0.03%]
二维和三维刘易斯汽车变体的最优路径及在图像分析中的应用
R Duits,S P L Meesters,J-M Mirebeau et al.
R Duits et al.
We present a PDE-based approach for finding optimal paths for the Reeds-Shepp car. In our model we minimize a (data-driven) functional involving both curvature and length penalization, with several generalizations. Our approach encompasses ...
Nilpotent Approximations of Sub-Riemannian Distances for Fast Perceptual Grouping of Blood Vessels in 2D and 3D [0.03%]
二维和三维快速感知血管分组的子黎曼距离的幂零逼近法
Erik J Bekkers,Da Chen,Jorg M Portegies
Erik J Bekkers
We propose an efficient approach for the grouping of local orientations (points on vessels) via nilpotent approximations of sub-Riemannian distances in the 2D and 3D roto-translation groups SE(2) and SE(3). In our distance approximations we...
M H J Janssen,A J E M Janssen,E J Bekkers et al.
M H J Janssen et al.
The enhancement and detection of elongated structures in noisy image data are relevant for many biomedical imaging applications. To handle complex crossing structures in 2D images, 2D orientation scores U : R 2 × S 1 → C were in...
Matthew Thorpe,Serim Park,Soheil Kolouri et al.
Matthew Thorpe et al.
Transport based distances, such as the Wasserstein distance and earth mover'sdistance, have been shown to be an effective tool in signal and image analysis. The success of transport based distances is in part due to their Lagrangian nature ...
Robust [Formula: see text] Approaches to Computing the Geometric Median and Principal and Independent Components [0.03%]
稳健的[公式见正文中见]方法计算几何中位，主成分和独立成分
Stephen L Keeling,Karl Kunisch
Stephen L Keeling
Robust measures are introduced for methods to determine statistically uncorrelated or also statistically independent components spanning data measured in a way that does not permit direct separation of these underlying components. Because o...
Infimal Convolution Regularisation Functionals of BV and [Formula: see text] Spaces: Part I: The Finite [Formula: see text] Case [0.03%]
BV和[ Formula：see text ]空间的最小卷积正则化函数：第1部分：有限[ Formula：see text ]情况
Martin Burger,Konstantinos Papafitsoros,Evangelos Papoutsellis et al.
Martin Burger et al.
We study a general class of infimal convolution type regularisation functionals suitable for applications in image processing. These functionals incorporate a combination of the total variation seminorm and [Formula: see text] norms. A unif...
Association Fields via Cuspless Sub-Riemannian Geodesics in SE(2) [0.03%]
SE (2)中的 cuspsless sub-riemannian测地线的关联野理论
R Duits,U Boscain,F Rossi et al.
R Duits et al.
To model association fields that underly perceptional organization (gestalt) in psychophysics we consider the problem Pcurve of minimizing [Formula: see text] for a planar curve having fixed initial and final positions and directions. Here ...
Iterative graph cuts for image segmentation with a nonlinear statistical shape prior [0.03%]
基于非线性统计形状先验的图像分割的迭代图割算法
Joshua C Chang,Tom Chou
Joshua C Chang
Shape-based regularization has proven to be a useful method for delineating objects within noisy images where one has prior knowledge of the shape of the targeted object. When a collection of possible shapes is available, the specification ...