Vector Image Polygon (VIP) limiters in ALE Hydrodynamics

High-Order Multi-Material ALE Hydrodynamics

We present a new approach for multi-material Arbitrary Lagrangian-Eulerian (ALE) hydrodynamics simulations based on high-order finite elements posed on high-order curvilinear meshes. The method builds on and extends our previous work in the Lagrangian [1] and remap [2] phases of ALE, and depends critically on a functional perspective that enables sub-zonal physics and material modeling [3]. Cur...

Multis ale Image and Data Analysis

Automatic Image Registration in Infrared-Visible Videos using Polygon Vertices

In this paper, an automatic method is proposed to perform image registration in visible and infrared pair of video sequences for multiple targets. In multimodal image analysis like image fusion systems, color and IR sensors are placed close to each other and capture a same scene simultaneously, but the videos are not properly aligned by default because of different fields of view, image capturi...

Max and min limiters

If A ⊆ ω, n ≥ 2, and the function max({x1, . . . , xn} ∩ A) is partial recursive, it is easily seen that A is recursive. In this paper, we weaken this hypothesis in various ways (and similarly for “min” in place of “max”) and investigate what effect this has on the complexity of A. We discover a sharp contrast between retraceable and coretraceable sets, and we characterize sets which are the un...

Polygon Clipping and Polygon Reconstruction

Polygon clipping is an important operation that computers execute all the time. An algorithm that clips a polygon is rather complex. Each edge of the polygon must be tested against each edge of the clipping window, usually a rectangle. As a result, new edges may be added, and existing edges may be discarded, retained, or divided. Multiple polygons may result from clipping a single polygon. Afte...