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.

This paper reports on experiments in frame-semantic annotation of a parallel treebank. Selected English and Swedish sentences that contained verbs of motion and communication were annotated independently by two annotators. We found that they assigned the same frame to corresponding sentences in 52% of the cases. This leads us to the conclusion that parallel treebanks can save considerable effor...

A generalized definition of a frame of reference in spaces with affine connections and metrics is proposed based on the set of the following differential-geometric objects: (a) a non-null (non-isotropic) vector field, (b) the orthogonal to the vector field sub space, (c) an affine connection and the related to it covariant differential operator determining a transport along the given non-null v...

Status of This Memo This document specifies an Internet standards track protocol for the Internet community, and requests discussion and suggestions for improvements. Please refer to the current edition of the "Internet Official Protocol Standards" (STD 1) for the standardization state and status of this protocol. Distribution of this memo is unlimited. Abstract A frame relay pseudowire is a me...

Elastic rods are curve-like elastic bodies that have one dimension (length) much larger than the others (cross-section). Their elastic energy breaks down into three contributions: stretching, bending, and twisting. Stretching and bending are captured by the deformation of a space curve called the centerline, while twisting is captured by the rotation of a material frame associated to each point...

Leveraging line features to improve the accuracy of SLAM system has been studied in many works. However, making full use characteristics different (parallel, non-parallel) is rarely mentioned. In this paper, we designed a VIO based on points and straight lines, which divides lines into structural (that is, parallel each other) non-structural. To optimize effectively, used two-parameter represen...