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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)

News published in Agência FAPESP Newsletter about the scholarship:
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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, . (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, . (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., . (12/05326-9)