Shape component analysis: structure-preserving dimension reduction on biological shape spaces

Hao-Chih Lee, Tao Liao, Yongjie Jessica Zhang, Ge Yang

Abstract: Quantitative shape analysis is required by a wide range of biological studies across diverse scales, ranging from molecules to cells and organisms. In particular, high-throughput and systems-level studies of biological structures and functions have started to produce large volumes of complex high-dimensional shape data. Analysis and understanding of high-dimensional biological shape data require dimension-reduction techniques.