Computation of the Dynamic Aperture of 2d Generic Maps Using Invariant Manifolds

Statistical cosymplectic manifolds and their submanifolds

    In ‎this ‎paper‎, we introduce statistical cosymplectic manifolds and investigate some properties of their tensors. We define invariant and anti-invariant submanifolds and study invariant submanifolds with normal and tangent structure vector fields. We prove that an invariant submanifold of a statistical cosymplectic manifold with tangent structure vector field is a cosymplectic and minimal...

Statistical Analysis on Manifolds: A Nonparametric Approach for Inference on Shape Spaces

This article concerns nonparametric statistics on manifolds with special emphasis on landmark based shape spaces in which a k-ad, i.e., a set of k points or landmarks on an object or a scene, is observed in 2D or 3D, for purposes of identification, discrimination, or diagnostics. Two different notions of shape are considered: reflection shape invariant under all translations, scaling and orthog...

Spectral global intrinsic symmetry invariant functions

We introduce spectral Global Intrinsic Symmetry Invariant Functions (GISIFs), a class of GISIFs obtained via eigendecomposition of the Laplace-Beltrami operator on compact Riemannian manifolds, and provide associated theoretical analysis. We also discretize the spectral GISIFs for 2D manifolds approximated either by triangle meshes or point clouds. In contrast to GISIFs obtained from geodesic d...

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Pose Invariant Generic Object Recognition with Orthogonal Axis Manifolds in Linear Subspace

This paper addresses the problem of pose invariant Generic Object Recognition by modeling the perceptual capability of human beings. We propose a novel framework using a combination of appearance and shape cues to recognize the object class and viewpoint (axis of rotation) as well as determine its pose (angle of view). The appearance model of the object from multiple viewpoints is captured usin...