A geometric framework for statistical analysis of trajectories with distinct temporal spans.

ABSTRACT: Analyzing data representing multifarious trajectories is central to the many fields in Science and Engineering; for example, trajectories representing a tennis serve, a gymnast's parallel bar routine, progression/remission of disease and so on. We present a novel geometric algorithm for performing statistical analysis of trajectories with distinct number of samples representing longitudinal (or temporal) data. A key feature of our proposal is that unlike existing schemes, our model is deployable in regimes where each participant provides a different number of acquisitions (trajectories have different number of sample points or temporal span). To achieve this, we develop a novel method involving the parallel transport of the tangent vectors along each given trajectory to the start

SUBMITTER: Chakraborty R 

PROVIDER: S-EPMC7278111 | biostudies-literature | 2017 Oct

REPOSITORIES: biostudies-literature