Volume estimation of 3D particles with known convex shapes from its projected areas

Author

Presles, Benoît ; Debayle, Johan ; Cameirao, Ana ; Févotte, Gilles ; Pinoli, Jean-Charles

Author_Institution

SPIN/LPMG, Ecole Nat. Super. des Mines de St.-Etienne, St. Etienne, France

fYear

2010

fDate

7-10 July 2010

Firstpage

399

Lastpage

404

Abstract

The aim of this article is to present a new projective stereological image processing method to estimate the volume of a 3D particle with known convex shape from its different projected areas. In order to do so, an optimization algorithm is performed to determine the size parameters of the particle which maximize the likelihood function of the probability density associated with the observed projected areas. Therefore, the volume of the 3D particle can be deduced.

Keywords

computational geometry; optimisation; probability; stereo image processing; 3D particles; convex shapes; likelihood function; optimization algorithm; probability density; stereological image processing; volume estimation; Cameras; Crystallization; Image processing; Maximum likelihood estimation; Shape; Solid modeling; Three dimensional displays; Crystallization; Maximum likelihood; Probability density function; Projected area; Projective stereology;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing Theory Tools and Applications (IPTA), 2010 2nd International Conference on

Conference_Location

Paris

ISSN

2154-5111

Print_ISBN

978-1-4244-7247-5

Type

conf

DOI

10.1109/IPTA.2010.5586763

Filename

5586763