Apparent contour of surfaces in R3 and extensions of Koenderink's formula

• Grant number: 19/19714-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: February 01, 2020
• End date: January 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luciana de Fátima Martins
• Grantee: Mateus Pereira Araujo
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Associated research grant: 19/07316-0 - Singularity theory and its applications to differential geometry, differential equations and computer vision, AP.TEM

Abstract

This project aims to use Theory of Singularities and Differential Geometry, to study properties of regular and singular surfaces in R3 which provide information on the shape of the surface. Therefore, the student should study about: contact of a surface with lines, recognition of the generic singularities of a projection familyorthogonal surfaces, apparent surface contour, Koenderink results and their extensions for singular points of the apparent contour and for singular surfaces. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

ARAUJO, Mateus Pereira. A study of surface geometry via projection orthogonal: Koenderink's theorem and extensions. 2022. Master's Dissertation - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.