Parallel Transport on Kendall Shape Spaces
نویسندگان
چکیده
Kendall shape spaces are a widely used framework for the statistical analysis of data arising from many domains, often requiring parallel transport as tool to normalise time series or gradient in optimisation procedures. We present an implementation pole ladder, algorithm compute based on geodesic parallelograms and compare it methods by integration ordinary differential equation.
منابع مشابه
Parallel Transport over Path Spaces
We develop a framework for parallel transport over path spaces and a corresponding discrete theory, an integrated version of the continuum theory. Our results connect with and extend ideas developed for higher gauge theories in the framework of 2-connections on 2-bundles. We work with quadrilaterals rather than bigons.
متن کاملcompactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولNonparametric Inference on Shape Spaces
The statistical analysis of shape distributions based on random samples is important in many areas such as morphometry, medical diagnostics, and machine vision. To measure the shape of an object, one may pick a suitable ordered set of k points or landmarks called k-ad on a two or three dimensional image of the object under consideration. The equivalence class of the k-ad identified modulo size ...
متن کاملChoquet-Kendall-Matheron theorems for non-Hausdorff spaces
We establish Choquet-Kendall-Matheron theorems on non-Hausdorff topological spaces. This typical result of random set theory is profitably recast in purely topological terms, using intuitions and tools from domain theory. We obtain three variants of the theorem, each one characterizing distributions, in the form of continuous valuations, over relevant powerdomains of demonic, resp. angelic, res...
متن کاملParallel Transport in Shape Analysis: A Scalable Numerical Scheme
The analysis of manifold-valued data requires efficient tools from Riemannian geometry to cope with the computational complexity at stake. This complexity arises from the always-increasing dimension of the data, and the absence of closed-form expressions to basic operations such as the Riemannian logarithm. In this paper, we adapt a generic numerical scheme recently introduced for computing par...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Lecture Notes in Computer Science
سال: 2021
ISSN: ['1611-3349', '0302-9743']
DOI: https://doi.org/10.1007/978-3-030-80209-7_12