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Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes
In this paper, we develop a polygonal mesh adaptation algorithm for a fully implicit scheme based on discontinuous Galerkin (DG) finite element...
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Polygonal finite element-based content-aware image war**
Mesh-based image war** techniques typically represent image deformation using linear functions on triangular meshes or bilinear functions on...
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Optimizing Mesh to Improve the Triangular Expansion Algorithm for Computing Visibility Regions
This paper addresses the problem of improving the query performance of the triangular expansion algorithm (TEA) for computing visibility regions by...
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Investigation on the Encoder-Decoder Application for Mesh Generation
In computer graphics, 3D modeling is a fundamental concept. It is the process of creating three-dimensional objects or scenes using specialized...
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Digital Calculus Frameworks and Comparative Evaluation of Their Laplace-Beltrami Operators
Defining consistent calculus frameworks on discrete meshes is useful for processing the geometry of meshes or model numerical simulations and...
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Usability Study and Design Implications for Novice AR-Based 3D Model Design Tools
This study explores how novices of 3D model designing can use an AR-based 3D model design tool. In the experiment, users used Microsoft HoloLens2 and...
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Interplay Between Diffusion Anisotropy and Mesh Skewness in Hybrid High-Order Schemes
Droniou, J.We explore the effects of mesh skewness on the accuracy of standard Hybrid High-Order (HHO) schemes for anisotropic diffusion equations....
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Towards Off-the-Grid Algorithms for Total Variation Regularized Inverse Problems
We introduce an algorithm to solve linear inverse problems regularized with the total (gradient) variation in a gridless manner. Contrary to most...
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Constructing self-supporting surfaces with planar quadrilateral elements
We present a simple yet effective method for constructing 3D self-supporting surfaces with planar quadrilateral (PQ) elements. Starting with a...
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Layout and Display of Network Graphs on a Sphere
There are many advantages to displaying a network graph on a sphere instead of on a plane. For instance, 3D models can be rotated so that any node is...
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Grid-Based Generalisation of Area Polygons for Automated Application in Small-Scale Statistical Maps
The added value of map representations of statistical mass data is now highly appreciated in big business. Most statistical maps are produced by...
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Generating 3D Reconstructions Using Generative Models
As the capacity for visual representation continues to evolve, there is a growing need for techniques for realistic and efficient creation of...
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Efficiently computing alternative paths in game maps
Alternative pathfinding requires finding a set of k alternative paths (including the shortest path) between a given source s and a target t ....
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An efficient algorithm for approximate Voronoi diagram construction on triangulated surfaces
Voronoi diagrams on triangulated surfaces based on the geodesic metric play a key role in many applications of computer graphics. Previous methods of...
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Deep3DSketch-im: rapid high-fidelity AI 3D model generation by single freehand sketches
The rise of artificial intelligence generated content (AIGC) has been remarkable in the language and image fields, but artificial intelligence (AI)...
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Multi-resolution Graph Neural Networks for PDE Approximation
Deep Learning algorithms have recently received a growing interest to learn from examples of existing solutions and some accurate approximations of...
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Virtual Worlds
Virtual worlds, the contents of VR environments, consist of 3D objects with dynamic behavior that react in real time to user input. After a brief...
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Envelo** CAD models for visualization and interaction in XR applications
3D visualization of and interaction with CAD models are fundamental tasks in web and mobile XR applications. Meshes of CAD model surfaces, however,...
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Supercomputer Simulations of Turbomachinery Problems with Higher Accuracy on Unstructured Meshes
Numerical simulation is widely used while designing modern turbojet engines. However, it is computationally expensive to simulate multi-stage...
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Robot Motion Planning
Motion planning aims to increase the ability of robots to plan and act on their own. Efficient and safe motion planning algorithms are crucial for...