Title :
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
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;
Conference_Titel :
Image Processing Theory Tools and Applications (IPTA), 2010 2nd International Conference on
Conference_Location :
Paris
Print_ISBN :
978-1-4244-7247-5
DOI :
10.1109/IPTA.2010.5586763