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Proposing a Connection Method for Measuring Differentiation of Tangent Vectors at Shape Manifold

형태 다양체에서 접벡터 변화량을 측정하기 위한 접속 방식 제안

  • Received : 2012.11.21
  • Accepted : 2013.01.09
  • Published : 2013.02.28

Abstract

In this paper an algorithm that represents shape sequences with moving frames parallel along the sequences are developed. According to Levi-Civita connection, it is not easy to measure the variation of the vector fields on non-Euclidean spaces without tools to parallel transport them. Thus, parallel transport of the vector fields along the shape sequences is implemented using the theories of principal frame bundle and analyzed via extensive simulation.

Keywords

Shape Sequence;Manifold;Parallel Transport;Connection;Principal Frame Bundle

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Cited by

  1. Topological Analysis of Spaces of Waveform Signals vol.19, pp.2, 2016, https://doi.org/10.9717/kmms.2016.19.2.146
  2. Analysis of Commute Time Embedding Based on Spectral Graph vol.17, pp.1, 2014, https://doi.org/10.9717/kmms.2014.17.1.034

Acknowledgement

Supported by : 한국외국어대학교