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Counting objects via Mathematical Morphology

Grant number: 24/23600-8
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Start date: May 01, 2025
End date: April 30, 2026
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Benito Frazao Pires
Grantee:Rafael Ribeiro dos Santos
Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

In this research proposal, one studies the mathematics behind algorithms that count objects in images. The mathematical approach is denominated Mathematical Morphology. The proposal includes both the theoretical part (binary matrices, adjacency matrices, graphs, connected components and spectral theory of matrices) as well as the applied part (digitalization of images, representation of images as binary matrices, implementation of an algorithm in Python to count objects in images).

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