Can I read A Lie algebra representation for efficient 2D shape classification on EtoBox?

A Lie algebra representation for efficient 2D shape classification by Xiaohan Yu; Yongsheng Gao; Mohammed Bennamoun; Shengwu Xiong is a Computer Science article available to read on EtoBox.

What is A Lie algebra representation for efficient 2D shape classification about?

Riemannian manifold plays a vital role as a powerful mathematical tool in computer vision, with important applications in curved shape analysis and classification. Significant progress has recently been made by Riemannian framework based methods that achieved state-of-the-art classification accuracy and robustness. However, these Riemannian manifold and Lie group methods require a very high computational complexity and do not include a description of the shape regions. This paper presents a novel mathematical tool, called Block Diagonal Symmetric Positive Definite Matrix Lie Algebra (BDSPDMLA) to represent curves, which extends the existing Lie group representations to a compact yet informative Lie algebra representation. The proposed Lie algebra based method addresses the computational bottleneck problem of the Riemannian framework based methods. In addition, it allows the natural fusion of various regions information with curved shape features for a more discriminative shape description. Here the region information is represented by values of distance maps, local binary patterns (LBP) and image intensity. Extensive experiments on five publicly available databases demonstrate that

Who reads A Lie algebra representation for efficient 2D shape classification?

Author

Xiaohan Yu; Yongsheng Gao; Mohammed Bennamoun; Shengwu Xiong

Publisher

Elsevier BV

Published

2023

Language

EN

Field

Computer Science (Physical Sciences)