Results 11 to 20 of about 5,495,109 (374)
The space of intervals in a Euclidean space [PDF]
Algebraic & Geometric Topology, 2005 For a path-connected space X, a well-known theorem of Segal, May and Milgram asserts that the configuration space of finite points in R^n with labels in X is weakly homotopy equivalent to the n-th loop-suspension of X. In this paper, we introduce a space I_n(X) of intervals suitably topologized in R^n with labels in a space X and show that it is weakly
May +3 more
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Confidence Analysis of Standard Deviational Ellipse and Its Extension into Higher Dimensional Euclidean Space [PDF]
PLoS One, 2015 Standard deviational ellipse (SDE) has long served as a versatile GIS tool for delineating the geographic distribution of concerned features. This paper firstly summarizes two existing models of calculating SDE, and then proposes a novel approach to ...
Bin Wang, W. Shi, Z. Miao
semanticscholar +2 more sources
Spherical functions on Euclidean space [PDF]
Journal of Functional Analysis, 2006 We study special functions on euclidean spaces from the viewpoint of riemannian symmetric spaces. Here the euclidean space $E^n = G/K$ where $G$ is the semidirect product $R^n \cdot K$ of the translation group with a closed subgroup $K$ of the orthogonal group O(n).
Wolf, Joseph A.
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Framed Surfaces in the Euclidean Space [PDF]
, 2017 A framed surface is a smooth surface in the Euclidean space with a moving frame.The framed surfaces may have singularities. We treat smooth surfaces with singular points,that is, singular surfaces more directly.
Tomonori Fukunaga, Masatomo Takahashi
semanticscholar +3 more sources
Semi‐supervised classification of fundus images combined with CNN and GCN
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Purpose Diabetic retinopathy (DR) is one of the most serious complications of diabetes, which is a kind of fundus lesion with specific changes. Early diagnosis of DR can effectively reduce the visual damage caused by DR. Due to the variety and different morphology of DR lesions, automatic classification of fundus images in mass screening can ...
Sixu Duan +8 more
wiley +1 more source
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Background and purpose For postoperative breast cancer patients, deformable image registration (DIR) is challenged due to the large deformations and non‐correspondence caused by tumor resection and clip insertion. To deal with it, three metrics (fiducial‐, region‐, and intensity‐based) were jointly used in DIR algorithm for improved accuracy ...
Xin Xie +6 more
wiley +1 more source
Transformation of Non-Euclidean Space to Euclidean Space for Efficient Learning of Singular Vectors
IEEE Access, 2020 Singular value decomposition (SVD) is a popular technique to extract essential information by reducing the dimension of a feature set. SVD is able to analyze a vast matrix in spite of a relatively low computational cost.
Seunghyun Lee, Byung Cheol Song
doaj +1 more source
Twisted Hypersurfaces in Euclidean 5-Space
Mathematics, 2023 The twisted hypersurfaces x with the (0,0,0,0,1) rotating axis in five-dimensional Euclidean space E5 is considered. The fundamental forms, the Gauss map, and the shape operator of x are calculated.
Yanlin Li, Erhan Güler
doaj +1 more source
Geometric Reinforcement Learning for Robotic Manipulation
IEEE Access, 2023 Reinforcement learning (RL) is a popular technique that allows an agent to learn by trial and error while interacting with a dynamic environment.
Naseem Alhousani +5 more
doaj +1 more source
The isoperimetric inequality for a minimal submanifold in Euclidean space [PDF]
, 2019 We prove an isoperimetric inequality which holds for minimal submanifolds in Euclidean space of arbitrary dimension and codimension. Our estimate is sharp if the codimension is at most $2$.
S. Brendle
semanticscholar +1 more source