2012/10/11 by Dong Du, Dong Xing Du, Du, Dong · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Algebraic Topology (math.AT) #Cell Image Analysis Techniques #Computational Geometry (cs.CG) #Digital Image Processing Techniques #FOS: Computer and information sciences #FOS: Mathematics #Topological and Geometric Data Analysis #cs.CG #math.AT
paper · pdf · doi:10.48550/arxiv.1210.3092
arXiv admin note: text overlap with arXiv:1104.5646 by other authors
openalex publication_date 2012/10/11 · arxiv created 2014/04/20 · arxiv updated 2014/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper provides a method to calculate the bar codes of a PCD (point cloud data) with real coefficients in Section 3. With Dan Burghelea and Tamal Dey we developed a persistence theory which involves level sets discussed in Section 4. This paper is the Ph.D thesis written under the direction of Dan Burghelea at OSU.