Three-dimensional volume reconstruction from slice data using phase-field models

Verification of Convergence Rates of Numerical Solutions for Parabolic Equations

“…This CH equation is widely used in applications such as phase separation [34], topology optimization [35], multiphase incompressible fluid flows [36][37][38][39], image inpainting [40], surface reconstruction [41], diblock copolymer [42], tumor growth simulation [43], and microstructures with elastic inhomogeneity [44]. Some studies suggest a mathematical model as a way to reproduce the experiment and present a numerical solution of it, as shown in Figures 1 and 2.…”

Foundation and methodologies in computer-aided diagnosis systems for breast cancer detection

“…The development of reconstruction algorithms has been the attention of many researchers in latest work since the reconstruction of 3D images for consecutive images, due to its various applications in surgery, teaching anatomy, and diagnosis (Li et al, 2015[85]). In the field of breast screening, segmentation and 3D reconstruction of Magnetic Resonance Image (MRI) (Gnonnou and Smaoui, 2014[50]) and mammogram (Yong et al, 2015[138]) are offered for breast cancer detection.…”

A phase-field fluid modeling and computation with interfacial profile correction term

“…Governing equations for the flow are obtained by coupling the momentum and CH equations. The CH equation has been successfully applied to a wide range of problems in materials science [5,6], biology [7,8], image processing [9,10], surface/volume reconstruction [11], and fluid dynamics [12][13][14][15][16][17][18][19][20][21][22][23][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44] (see the recent review paper [32] and the references therein). Using the CH equation, the internal structure of the interface layer can be determined by explicit smoothing flow discontinuities.…”