4D segmentation algorithm with application to 3D+time image segmentation

In this paper, we introduce and study a novel segmentation method for 4D images based on surface evolution governed by nonlinear partial differential equation, the generalized subjective equation. The new uses digital image information from thresholded in local neighborhood. Thus, is accomplished defining edge detector function’s input as weighted sum of norm gradients presmoothed Additionally, design numerical finite volume approach solving model. reduced diamond cell used approximating gradient solution. We use semi-implicit scheme discretization show that our unconditionally stable. was tested artificial data applied to real representing 3D+time microscopy nuclei within zebrafish pectoral fin hind-brain. application, processing amounts linear system with several billion unknowns requires over 1000 GB memory; thus, it may not be possible process these serial machine without parallel implementation utilizing MPI. Consequently, develop present paper OpenMP MPI designed algorithms. Finally, include tracking results how serves basis finding trajectories cells during embryogenesis.