非秘密
发表于 2025-3-23 10:10:01
,Spline Interpolation on the Special Orthogonal Group ,(,),us due to its inherent visualizability, enabling an intuitive understanding of the proposed algorithm. While . served as an excellent preliminary example to assess the concepts, the need to extend the work to more intricate manifolds becomes imperative to substantiate the complexity of the approach.
显而易见
发表于 2025-3-23 15:34:00
,Spline Interpolation on Stiefel and Grassmann Manifolds,wever, a persistent challenge in many of these applications stems from the intricate geometric structures inherent in these manifolds . As real-world applications increasingly involve non-vector data, numerous algorithms for manifold embedding and manifold learning have been introduced to address
enlist
发表于 2025-3-23 19:36:40
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健谈
发表于 2025-3-24 00:43:25
,Spline Interpolation on the Manifold of Probability Density Functions,ed set of observations .. Fitting a set of PDFs points constitutes a vital area of research in theoretical and computational statistics, with widespread applications in fields such as machine learning, medical imaging, computer vision, signal/video processing, and beyond
产生
发表于 2025-3-24 02:43:54
Spline Interpolation on Other Riemannian Manifolds,emannian manifolds. Specifically, we focus on two such instances: the set of symmetric and positive-definite matrices (SPD), denoted as ., and hyperbolic spaces . characterized by constant negative curvature. These nonlinear spaces find wide-ranging applications where the demand for smooth interpola
Parameter
发表于 2025-3-24 06:57:05
Introduction,loration extends to the generalization of the proposed Euclidean Bézier curve techniques to various examples of Riemannian manifolds. Such generalization involves an in-depth examination of the geometric properties of the Riemannian manifold.
闪光东本
发表于 2025-3-24 11:26:22
,Spline Interpolation and Fitting in ,ion of an innovative method for solving the interpolation problem in . through the use of . Bézier splines. This approach adeptly navigates the complexities of fitting data in multiple dimensions, ensuring the desired continuity up to the .th order and providing a nuanced and effective solution to this intricate problem.
有花
发表于 2025-3-24 15:07:32
,Spline Interpolation on Stiefel and Grassmann Manifolds, these challenges. Recent efforts in this direction have focused on the development of essential geometric and statistical tools, including the Riemannian exponential map and its inverse, means, distributions, and geodesics .
Anonymous
发表于 2025-3-24 21:51:23
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连系
发表于 2025-3-25 00:58:09
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