scholarly journals Joint Motion Estimation and Source Identification Using Convective Regularisation with an Application to the Analysis of Laser Nanoablations

2012 ◽  
pp. 191-227
Author(s):  
Lukas F. Lang ◽  
Nilankur Dutta ◽  
Elena Scarpa ◽  
Bénédicte Sanson ◽  
Carola-Bibiane Schönlieb ◽  
...  
Keyword(s):  
Motion Estimation ◽  
Source Identification ◽  
Joint Motion

scholarly journals Joint Motion Estimation and Source Identification using Convective Regularisation with an Application to the Analysis of Laser Nanoablations

2019 ◽  
Author(s):  
Lukas F. Lang ◽  
Nilankur Dutta ◽  
Elena Scarpa ◽  
Bénédicte Sanson ◽  
Carola-Bibiane Schönlieb ◽  
...  
Keyword(s):  
Motion Estimation ◽  
Source Identification ◽  
Synthetic Data ◽  
Joint Motion ◽  
Tissue Formation ◽  
Lagrange Equations ◽  
Significant Information ◽  
Extensive Evaluation ◽  
Minimisation Problem ◽  
Microscopy Data

AbstractWe propose a variational method for joint motion estimation and source identification in one-dimensional image sequences. The problem is motivated by fluorescence microscopy data of laser nanoablations of cell membranes in live Drosophila embryos, which can be conveniently—and without loss of significant information—represented in space-time plots, so called kymographs. Based on mechanical models of tissue formation, we propose a variational formulation that is based on the nonhomogenous continuity equation and investigate the solution of this ill-posed inverse problem using convective regularisation. We show existence of a minimiser of the minimisation problem, derive the associated Euler–Lagrange equations, and numerically solve them using a finite element discretisation together with Newton’s method. Based on synthetic data, we demonstrate that source estimation can be crucial whenever signal variations can not be explained by advection alone. Furthermore, we perform an extensive evaluation and comparison of various models, including standard optical flow, based on manually annotated kymographs that measure velocities of visible features. Finally, we present results for data generated by a mechanical model of tissue formation and demonstrate that our approach reliably estimates both a velocity and a source.

A MAP Approach for Joint Motion Estimation, Segmentation, and Super Resolution

2007 ◽  
Vol 16 (2) ◽  
pp. 479-490 ◽  
Author(s):  
Huanfeng Shen ◽  
Liangpei Zhang ◽  
Bo Huang ◽  
Pingxiang Li
Keyword(s):  
Motion Estimation ◽  
Super Resolution ◽  
Joint Motion ◽  
Map Approach

scholarly journals Direct Parametric Reconstruction With Joint Motion Estimation/Correction for Dynamic Brain PET Data

2017 ◽  
Vol 36 (1) ◽  
pp. 203-213 ◽  
Author(s):  
Jieqing Jiao ◽  
Alexandre Bousse ◽  
Kris Thielemans ◽  
Ninon Burgos ◽  
Philip S. J. Weston ◽  
...  
Keyword(s):  
Motion Estimation ◽  
Joint Motion ◽  
Brain Pet
Sign in / Sign up

Export Citation Format

Share Document