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 ...
STATISTICAL ANALYSIS OF CORTICAL MORPHOMETRICS USING POOLED DISTANCES BASED ON LABELED CORTICAL DISTANCE MAPS [0.03%]
基于标记皮层距离图的池化距离皮层形态计量学统计分析方法研究
E Ceyhan,M Hosakere,T Nishino et al.
E Ceyhan et al.
Neuropsychiatric disorders have been demonstrated to manifest shape differences in cortical structures. Labeled Cortical Distance Mapping (LCDM) is a powerful tool in quantifying such morphometric differences and characterizes the morphomet...
Michael I Miller,Alain Trouvé,Laurent Younes
Michael I Miller
Studying large deformations with a Riemannian approach has been an efficient point of view to generate metrics between deformable objects, and to provide accurate, non ambiguous and smooth matchings between images. In this paper, we study t...
Ying Bai,Xiao Han,Jerry L Prince
Ying Bai
The theory of digital topology is used in many different image processing and computer graphics algorithms. Most of the existing theories apply to uniform cartesian grids, and they are not readily extensible to new algorithms targeting at a...
Laurent Younes,Anqi Qiu,Raimond L Winslow et al.
Laurent Younes et al.
This paper focuses on the issue of translating the relative variation of one shape with respect to another in a template centered representation. The context is the theory of Diffeomorphic Pattern Matching which provides a representation of...