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

(4)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

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)

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, SI, p. 167-192, JUN 2015. (12/05326-9)

REEVE, GRAHAM. MINKOWSKI SYMMETRY SETS FOR 1-PARAMETER FAMILIES OF PLANE CURVES. JOURNAL OF SINGULARITIES, v. 25, p. 16-pg., 2022-01-01. (12/05326-9)