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1

An Effective Level Set Method With Molecular Beam Epitaxy Regularization for Color‐Texture Image Segmentation.
Song, Fanghui ; Sun, Jiebao ; Shi, Shengzhu ; et al.
Studies in Applied Mathematics. Oct2025, Vol. 155 Issue 4, p1-27. 27p.

IMAGE segmentation LEVEL set methods IMAGE processing MOLECULAR beam epitaxy VARIATIONAL approach (Ma... DIFFUSION coefficients
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2

Uniform toolpath generation based on conformal mapping and deformation compensation for complex structures.
Li, Yue-Feng ; Wang, Qing-Hui ; Li, Jing-Rong ; et al.
International Journal of Advanced Manufacturing Technology. Jan2026, Vol. 142 Issue 1/2, p511-527. 17p.

CONFORMAL mapping LEVEL set methods GEOMETRIC shapes SURFACE geometry ROBOTIC path planning
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3

Determining Area Affected by Corona in Lung Computed Tomography Images by Three-phase Level Set and Shearlet Transform.
Aghazadeh, Nasser ; Noras, Parisa ; Moghaddasighamchi, Sevda
Journal of Medical Signals & Sensors. Dec2025, Vol. 15 Issue 12, p1-10. 10p.

COVID-19 LEVEL set methods IMAGE segmentation WAVELET transforms COMPUTED tomography IMAGE processing …
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4

High-Resolution Numerical Scheme for Simulating Wildland Fire Spread.
Mandikas, Vasileios G. ; Voulgarakis, Apostolos
Mathematics (2227-7390). Nov2025, Vol. 13 Issue 22, p3721. 21p.

WILDFIRES LEVEL set methods FINITE differences FINITE difference method DESIGN HAMILTON-Jacobi equation... …
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5

Active Sub-neighborhoods:Active Contour Model-Based Object Recognition Method
Yu, Qi ; Shao, Changxing ; Zhu, Mengcheng ; et al.
2025 8th International Conference on Advanced Electronic Materials, Computers and Software Engineering (AEMCSE) Advanced Electronic Materials, Computers and Software Engineering (AEMCSE), 2025 8th International Conference on. :433-438 May, 2025

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6

LevelSetPy: A GPU-Accelerated Package for Hyperbolic Hamilton–Jacobi Partial Differential Equations.
MOLU, LEKAN
ACM Transactions on Mathematical Software. Jun2025, Vol. 51 Issue 2, p1-14. 14p.

LEVEL set methods PARTIAL differential equ... SCIENTIFIC computing DYNAMICAL systems SYSTEM safety PYTHON programming langu...
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7

Ultrasonic Rayleigh wave microscopic shape reconstruction of surface and near-surface defects using geometrical full waveform inversion.
Yin, Xiao ; An, Xuexin ; Shi, Fan
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences. 10/15/2025, Vol. 481 Issue 2324, p1-20. 20p.

RAYLEIGH waves LEVEL set methods ENGINEERING WAVE analysis MATERIALS science HIGH resolution imaging …
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8

Topology optimization of structures under thermo-mechanical coupling by the improved parameterized level set method.
Wang, Xiaobo ; Cui, Mingtao ; Gao, Mengjiao ; et al.
Mechanics Based Design of Structures & Machines. Oct2025, p1-23. 23p. 15 Illustrations.

LEVEL set methods STRUCTURAL optimization SENSITIVITY analysis MECHANICAL loads RADIAL basis functions NUMERICAL analysis …
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9

A large scaling property of level sets for degenerate p‐Laplacian equations with logarithmic BMO matrix weights.
Nguyen, Thanh‐Nhan ; Tran, Minh‐Phuong
Mathematische Nachrichten. Oct2025, Vol. 298 Issue 10, p3287-3306. 20p.

LEVEL set methods MAXIMAL functions STABILITY theory PARTIAL differential equ...
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10

Physics-informed neural networks for solving moving interface flow problems using the level set approach.
Mullins, Mathieu ; Kamil, Hamza ; Fahsi, Adil ; et al.
Physics of Fluids. Oct2025, Vol. 37 Issue 10, p1-26. 26p.

LEVEL set methods DEEP learning NAVIER-Stokes equations INTERFACE dynamics COMPUTER simulation
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11

Advanced sequential optimization and reliability assessment (ASORA) method for reliability-based design optimization of helical gear pair design.
Gasmi, Khalid ; Djeddou, Ferhat ; Lee, Ikjin
Structural & Multidisciplinary Optimization. Oct2025, Vol. 68 Issue 10, p1-21. 21p.

LEVEL set methods COUPLINGS (Gearing) MATHEMATICAL functions ROBUST optimization SURROGATE-based optimiza... CONSTRAINED optimization …
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12

Saliency feature fusion constraint for skin lesion level set segmentation.
Xia, Yu ; Ye, Chuan ; Deng, Huiyang ; et al.
Imaging Science Journal. Sep2025, p1-9. 9p. 12 Illustrations.

IMAGE segmentation LEVEL set methods IMAGE processing COMPUTER vision ENERGY function SKIN diseases
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13

A levelset-based cut-cell method for interfacial flows: part 2—free-surface flows and dynamic contact angle treatment.
Quirós Rodríguez, Alejandro ; Fullana, Tomas ; Sayadi, Taraneh ; et al.
Acta Mechanica. Sep2025, Vol. 236 Issue 9, p5639-5658. 20p.

LEVEL set methods CONTACT angle OPEN-channel flow BOUNDARY value problems INTERFACE dynamics COMPUTER simulation …
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14

A conservative level-set method based on a posterior mass correction with preserving distance property for incompressible multiphase flows simulations.
Song, Haochen ; Long, Tian ; Cai, Jinsheng ; et al.
Physics of Fluids. Sep2025, Vol. 37 Issue 9, p1-17. 17p.

MULTIPHASE flow LEVEL set methods CONSERVATION of mass INTERFACE dynamics SCIENTIFIC observation NEWTON-Raphson method
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15

Exact shape derivatives with unfitted finite element methods.
Shahan, Jeremy T. ; Walker, Shawn W.
Journal of Numerical Mathematics. Aug2025, p1. 34p. 8 Illustrations.

FINITE element method LEVEL set methods NUMERICAL analysis STRUCTURAL optimization STRUCTURAL design DIFFERENTIABLE functions
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16

On development of lattice-Boltzmann method based multi phase flow solver.
Raval, Tejas ; Patel, Dhruv ; Lakdawala, Absar
Numerical Heat Transfer: Part B -- Fundamentals. 2025, Vol. 86 Issue 8, p2391-2417. 27p.

LEVEL set methods MATHEMATICAL formulas TWO-phase flow SET functions VISCOSITY
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17

Structural topology optimization based on an immersed FEM Level-Set method.
Tatar, Farzad ; Brighenti, Roberto
Structural & Multidisciplinary Optimization. Aug2025, Vol. 68 Issue 8, p1-26. 26p.

LEVEL set methods FINITE element method OPTIMIZATION algorithms SPATIAL resolution STRUCTURAL optimization
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18

Identifying and Visualizing Terrestrial Magnetospheric Topology using Geodesic Level Set Method.
Xiong, Peikun ; Fujita, Shigeru ; Watanabe, Masakazu ; et al.
Computer Graphics Forum. Feb2024, Vol. 43 Issue 1, p1-13. 13p.

LEVEL set methods GEOMAGNETISM MAGNETOSPHERIC physics BIFURCATION theory BOUNDARY value problems CIRCLE
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19

Probabilistic branch and bound considering stochastic constraints.
Huang, Hao ; Tsai, Shing Chih ; Park, Chuljin
European Journal of Operational Research. Feb2025, Vol. 321 Issue 1, p147-159. 13p.

ALGORITHMS EMPIRICAL research PERFORMANCE theory LEVEL set methods
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20

Sharp Rate of the Accelerating Propagation for a Recursive System.
Li, Na ; Pan, Yingli ; Su, Ying
Studies in Applied Mathematics. Feb2025, Vol. 154 Issue 2, p1-13. 13p.

LEVEL set methods DISPERSAL (Ecology) RECURSION theory LINEAR systems
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