Volume Reconstruction from Slices

DOI10.1137/17M1116283zbMath1408.49044MaRDI QIDQ4689666

Simon Masnou, François Dayrens, Elie Bretin

Publication date: 17 October 2018

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

zbMATH Keywords

variational model\(\Gamma\)-convergenceperimeterphase fieldWillmore energyvolume reconstruction

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational problems in a geometric measure-theoretic setting (49Q20) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (9)

Three-dimensional volume reconstruction from multi-slice data using a shape transformation ⋮ Generation of tubular and membranous shape textures with curvature functionals ⋮ Multimodal 3D Shape Reconstruction under Calibration Uncertainty Using Parametric Level Set Methods ⋮ Super-resolution surface reconstruction from few low-resolution slices ⋮ A level set approach for multi-layered interface systems ⋮ Approximation of 3D objects by piecewise linear geometric interpolants of their 1D cross-sections ⋮ Three-Dimensional Volume Reconstruction Using Two-Dimensional Parallel Slices ⋮ Learning phase field mean curvature flows with neural networks ⋮ A new diffuse-interface approximation of the Willmore flow

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