Accurate surface reconstruction in 3D using two-dimensional parallel cross sections

DOI10.1007/s10851-015-0566-zzbMath1343.94011OpenAlexW1969668430MaRDI QIDQ890116

Chang-Ock Lee, Sang-Un Kim

Publication date: 9 November 2015

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-015-0566-z

zbMATH Keywords

surface reconstructionaugmented Lagrangian method\(45^\circ\) rotation invariant schemesgradient of surface normal vector

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (5)

Three-dimensional volume reconstruction from multi-slice data using a shape transformation ⋮ 2D and 3D image reconstruction from slice data based on a constrained bilateral smoothing and dynamic mode decomposition ⋮ A study on the 3D position estimation of ventricular borders extracted from 2D echocardiography data ⋮ Volume Reconstruction from Slices ⋮ Three-Dimensional Volume Reconstruction Using Two-Dimensional Parallel Slices

Uses Software

• CGAL
• TetGen
• Eigen
• CoReHA
• iso2mesh

Cites Work

• Unnamed Item
• CoReHa 2.0: a software package for in vivo MREIT experiments
• Image segmentation using Euler's elastica as the regularization
• A variational level set approach for surface area minimization of triply-periodic surfaces
• Level set methods and dynamic implicit surfaces
• A variational level set approach to multiphase motion
• Magnetic Resonance Electrical Impedance Tomography (MREIT)
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• Optimal surface reconstruction from planar contours
• Numerical Optimization
• Quantitative phase-field modeling of dendritic growth in two and three dimensions
• Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method
• The computational geometry algorithms library CGAL
• TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator

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