Title :
Formulae for polytope volume and surface moments
Author :
Sheynin, Stanislav A. ; Tuzikov, Alexander V.
Author_Institution :
Inst. of Eng. Cybern., Acad. of Sci., Minsk, Belarus
fDate :
6/23/1905 12:00:00 AM
Abstract :
Object moments and moment invariants are widely used in image analysis and recognition. The paper describes an approach and presents explicit formulae for calculation of polyhedron volume and surface moments via coordinates of polyhedron vertices. General formulae for calculation of arbitrary order volume and surface moments for polytopes in Rn are also obtained
Keywords :
computational geometry; image recognition; arbitrary order volume; image analysis; image recognition; moment invariants; object moments; polyhedron vertices; polyhedron volume; polytope volume; surface moments; Cybernetics; Image edge detection; Image recognition; Shape;
Conference_Titel :
Image Processing, 2001. Proceedings. 2001 International Conference on
Conference_Location :
Thessaloniki
Print_ISBN :
0-7803-6725-1
DOI :
10.1109/ICIP.2001.958220
