Discrete curve model for non-elastic shape analysis on shape manifold

作者：

Highlights：

• We construct a shape manifold and its tangent space for the discrete curve model.

• We design a geodesic distance that significantly improves the retrieval score.

• Our method overcomes some limitations in bending-only model.

• We propose a novel application named shape arithmetic.

摘要

•We construct a shape manifold and its tangent space for the discrete curve model.•We design a geodesic distance that significantly improves the retrieval score.•Our method overcomes some limitations in bending-only model.•We propose a novel application named shape arithmetic.

论文关键词：Discrete curve model,Non-elastic shape analysis,Shape manifold,Shape synthesis,Shape retrieval,Shape arithmetics

论文评审过程：Received 22 May 2019, Revised 27 April 2022, Accepted 28 April 2022, Available online 12 May 2022, Version of Record 15 May 2022.

论文官网地址：https://doi.org/10.1016/j.patcog.2022.108760