M Garland, Y Zhou - ACM Transactions on Graphics (TOG), 2005 - dl.acm.org
We present a novel generalization of the quadric error metric used in surface simplification that can be used for simplifying simplicial complexes of any type embedded in Euclidean …
A Gyulassy, V Natarajan - 2005 - ieeexplore.ieee.org
In this paper, we present a topological approach for simplifying continuous functions defined on volumetric domains. We introduce two atomic operations that remove pairs of critical …
A Gyulassy, V Natarajan, V Pascucci… - IEEE Transactions on …, 2007 - ieeexplore.ieee.org
The Morse-Smale complex is an efficient representation of the gradient behavior of a scalar function, and critical points paired by the complex identify topological features and their …
H King, K Knudson, N Mramor - Experimental Mathematics, 2005 - Taylor & Francis
If K is a finite simplicial complex and h is an injective map from the vertices of K to ℝ, we show how to extend h to a discrete Morse function in the sense of Forman [Forman 02] in a …
A Gyulassy, V Natarajan, V Pascucci… - … on Visualization and …, 2006 - ieeexplore.ieee.org
This paper describes an efficient combinatorial method for simplification of topological features in a 3D scalar function. The Morse-Smale complex, which provides a succinct …
H Chang, Y Dong, D Zhang, X Su, Y Yang, I Lee - Mathematics, 2023 - mdpi.com
With the rapid advancement of computer graphics and three-dimensional modeling technology, the processing and optimization of three-dimensional (3D) models have …
G Zhou, S Yuan, S Luo - IEEE Access, 2020 - ieeexplore.ieee.org
Triangular mesh is a commonly used method for representing 3D models. With the continuous development of 3D modeling and scanning technologies, the complexity of the …
Most 3D mesh generation techniques require simplification and mesh improvement stages to prepare a tetrahedral model for efficient simulation. We have developed an algorithm that …
C Ren, X Liang, H Guo - Computer Graphics Forum, 2024 - Wiley Online Library
We explore an error‐bounded lossy compression approach for reducing scientific data associated with 2D/3D unstructured meshes. While existing lossy compressors offer a high …