A practical approach to Morse-Smale complex computation: Scalability and generality
The Morse-Smale (MS) complex has proven to be a useful tool in extracting and visualizing
features from scalar-valued data. However, efficient computation of the MS complex for large …
features from scalar-valued data. However, efficient computation of the MS complex for large …
Quadric-based simplification in any dimension
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 …
that can be used for simplifying simplicial complexes of any type embedded in Euclidean …
[图书][B] Topology-based simplification for feature extraction from 3D scalar fields
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 …
on volumetric domains. We introduce two atomic operations that remove pairs of critical …
Efficient computation of Morse-Smale complexes for three-dimensional scalar functions
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 …
function, and critical points paired by the complex identify topological features and their …
Generating discrete Morse functions from point data
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 …
show how to extend h to a discrete Morse function in the sense of Forman [Forman 02] in a …
A topological approach to simplification of three-dimensional scalar functions
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 …
features in a 3D scalar function. The Morse-Smale complex, which provides a succinct …
Review of Three-Dimensional Model Simplification Algorithms Based on Quadric Error Metrics and Bibliometric Analysis by Knowledge Map
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 …
technology, the processing and optimization of three-dimensional (3D) models have …
Mesh simplification algorithm based on the quadratic error metric and triangle collapse
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 …
continuous development of 3D modeling and scanning technologies, the complexity of the …
Simplification and improvement of tetrahedral models for simulation
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 …
to prepare a tetrahedral model for efficient simulation. We have developed an algorithm that …
A Prediction‐Traversal Approach for Compressing Scientific Data on Unstructured Meshes with Bounded Error
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 …
associated with 2D/3D unstructured meshes. While existing lossy compressors offer a high …