The Minkowski symmetry set and skeletal structures

• Grant number: 12/05326-9
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: November 01, 2012
• End date: September 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Farid Tari
• Grantee: Graham Mark Reeve
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The Symmetry set of plane curves and surfaces in the Euclidean 3-space is extensively studied and has applications to computer vision, in particular, to shape recognition and reconstruction. The aim of this project is to study its analgue for curves (resp. surfaces) in the Minkowski plane (resp. 3-space). (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GIBLIN, PETER; REEVE, GRAHAM. CENTRE SYMMETRY SETS OF FAMILIES OF PLANE CURVES. DEMONSTRATIO MATHEMATICA, v. 48, n. 2, SI, p. 167-192, JUN 2015. (12/05326-9)

REEVE, GRAHAM MARK; TARI, FARID. MINKOWSKI SYMMETRY SETS OF PLANE CURVES. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 60, n. 2, p. 461-480, MAY 2017. (14/00304-2, 12/05326-9)

GIBLIN, PETER; REEVE, GRAHAM. CENTRE SYMMETRY SETS OF FAMILIES OF PLANE CURVES. DEMONSTRATIO MATHEMATICA, v. 48, n. 2, p. 26-pg., 2015-06-01. (12/05326-9)