We review some of the recent advances in level-set methods and their applications. In
particular, we discuss how to impose boundary conditions at irregular domains and free …

This monograph reviews both the theory and practice of the numerical computation of
geodesic distances on Riemannian manifolds. The notion of Riemannian manifold allows …

Artificial intelligence has undergone immense growth and maturation in recent years, though
autonomous systems have traditionally struggled when fielded in diverse and previously …

The original fast sweeping method, which is an efficient iterative method for stationary
Hamilton–Jacobi equations, relies on natural ordering provided by a rectangular mesh. We …

In this paper we propose a novel computational technique to solve the Eikonal equation
efficiently on parallel architectures. The proposed method manages the list of active nodes …

We develop a fast sweeping method for static Hamilton–Jacobi equations with convex
Hamiltonians. Local solvers and fast sweeping strategies apply to structured and …

We present an efficient and scalable pipeline for fabricating full-colored objects with spatially-
varying translucency from practical and accessible input data via multi-material 3D printing …

摘要在地震波场中, 初至波到时信息由于初至震相可追踪, 易识别性, 在地震学领域占有重要的
位置, 广泛地应用于叠前偏移, 叠前速度分析, 地震走时层析成像及地震定位等 …

We present an algorithm for solving in parallel the Eikonal equation. The efficiency of our
approach is rooted in the ordering and distribution of the grid points on the available …

We present scalable algorithms for the level-set method on dynamic, adaptive Quadtree and
Octree Cartesian grids. The algorithms are fully parallelized and implemented using the MPI …