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Statistics on diffeomorphisms via tangent space representations
 NeuroImage
, 2004
"... In this paper, we present a linear setting for statistical analysis of shape and an optimization approach based on a recent derivation of a conservation of momentum law for the geodesics of diffeomorphic flow. Once a template is fixed, the space of initial momentum becomes an appropriate space for s ..."
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Cited by 87 (11 self)
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for studying shape via geodesic flow since the flow at any point along the geodesic is completely determined by the momentum at the origin through geodesic shooting equations. The space of initial momentum provides a linear representation of the nonlinear diffeomorphic shape space in which linear statistical
Localized and Delocalized Modes in the Tangent–Space Dynamics of Planar Hard Dumbbell Fluids
, 2001
"... ..."
Tangent space
, 2014
"... nsid disc ratel we employ a greedy technique that partitions manifold samples into groups, which are approximated by low dimensional subspaces. We start by considering each manifold sample as a different group and we use the difference of local tangents to determine e of to fac ensio a smaller dimen ..."
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nsid disc ratel we employ a greedy technique that partitions manifold samples into groups, which are approximated by low dimensional subspaces. We start by considering each manifold sample as a different group and we use the difference of local tangents to determine e of to fac ensio a smaller
Tangential Distance Fields for Mesh Silhouette Analysis
"... We consider a tangentspace representation of surfaces which maps each point on a surface to the tangent plane of the surface at that point. Such representations are known to facilitate the solution of several visibility problems, in particular, those involving silhouette analysis. In this paper, we ..."
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We consider a tangentspace representation of surfaces which maps each point on a surface to the tangent plane of the surface at that point. Such representations are known to facilitate the solution of several visibility problems, in particular, those involving silhouette analysis. In this paper
CHERNSIMONS QUANTUM FIELD REPRESENTATION OF PLANAR FERROMAGNETS
, 1994
"... We represent the two dimensional planar classical continuous Heisenberg spin model as a constrained ChernSimons gauged nonlinear Schrödinger system. The hamiltonian structure of the model is studied, allowing the quantization of the theory by the gauge invariant approach. A preliminary study of th ..."
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and anyons [5]. On the other hand, the present authors showed that the selfdual CS system can be obtained, in the tangent space representation, from the stationary twodimensional Landau Lifshitz equation (LLE) [6]. This is the classical continuous isotropic version of the Heisenberg
TANGENT SPACES AND OBSTRUCTION THEORIES
"... These are notes from my series of 8 lectures on tangent spaces and obstruction theories, ..."
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These are notes from my series of 8 lectures on tangent spaces and obstruction theories,
Tangent cones to metric spaces
"... In this note we study the possibility of defining tangent vectors to a metric space at a given point and tangent maps to an application into another metric space. Such infinitesimal concepts may help analysis in such a general framework. Some examples are presented. Comparisons with other notions ar ..."
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In this note we study the possibility of defining tangent vectors to a metric space at a given point and tangent maps to an application into another metric space. Such infinitesimal concepts may help analysis in such a general framework. Some examples are presented. Comparisons with other notions
Tangent Processes on Wiener Space
, 2001
"... This paper deals with the study of the Malliavin calculus of Euclidean motions on Wiener space, (i.e. transformations induced by general measure preserving transformations, called ‘rotations’, and Hvalued shifts) and the associated flows on abstract Wiener spaces. 1 ..."
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Cited by 3 (2 self)
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This paper deals with the study of the Malliavin calculus of Euclidean motions on Wiener space, (i.e. transformations induced by general measure preserving transformations, called ‘rotations’, and Hvalued shifts) and the associated flows on abstract Wiener spaces. 1
1.2 Tangent Vectors and Tangent Spaces......................... 3
, 2005
"... It has been realised for several decades now, probably since Efron’s paper introducing the concept of statistical curvature [Efr75], that most of the main concepts and methods of differential geometry are of substantial interest in connection with the theory of statistical inference. This report de ..."
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It has been realised for several decades now, probably since Efron’s paper introducing the concept of statistical curvature [Efr75], that most of the main concepts and methods of differential geometry are of substantial interest in connection with the theory of statistical inference. This report describes in simple cases the links existing between the two theories. It is based on an article introducing the topic, by R. Kass [Kas89]. The focus is on parametric statistical
Results 1  10
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77,691