690 articles – 286 references  [version française]
 HAL: hal-00708089, version 1
 A Transport for imaging process
 Olivier Besson 1, Martine Picq 2, Jerome Pousin ( ) 2
 For the Multimodal quantification and validation of 3D regional myocardial function ANR-11-TECSAN-002-003 collaboration(s)
 (2012-06-13)
 This work originates from a heart's images tracking which is to generate an apparent continuous motion, observable through intensity variation from one starting image to an ending one both supposed segmented. Given two images $\rho_0$ and $\rho_1$, we calculate an evolution process $\rho(t,\cdot)$ which transports $\rho_0$ to $\rho_1$ by using the optical flow. In this paper we propose an algorithm based on a fixed point formulation and a space-time least squares formulation of the transport equation for computing a transport problem. Existence results are given for a transport problem with a minimum divergence for a dual norm or a weighted $H^1_0$-semi norm, for the velocity. The proposed transport is compared with the transport introduced by Dacorogna-Moser. The strategy is implemented in a 2D case and numerical results are presented with a first order Lagrange finite element, showing the efficiency of the proposed strategy.
 1: Institut de Mathématiques (UNINE) Université de Neuchatel 2: Institut Camille Jordan (ICJ) CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) : - LYON – Université Jean Monnet - Saint-Etienne
 Research team: MMCS
 Subject : Mathematics/Analysis of PDEsMathematics/Numerical Analysis
 Keyword(s): Images transport – least squares solutions
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 hal-00708089, version 1 http://hal.archives-ouvertes.fr/hal-00708089 oai:hal.archives-ouvertes.fr:hal-00708089 From: Jerome Pousin <> Submitted on: Thursday, 14 June 2012 09:27:07 Updated on: Thursday, 14 June 2012 09:51:46