Classification of Critical Points Using a Second Order Derivative

被引：8

作者：

Smolik, Michal ^{[1
]}

Skala, Vaclav ^{[1
]}

机构：

[1] Univ West Bohemia, Plzen, Czech Republic

来源：

INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE (ICCS 2017) | 2017年 / 108卷

关键词：

vector field; critical point; Hessian matrix; curvature;

D O I：

10.1016/j.procs.2017.05.271

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article presents a new method for classification of critical points. A vector field is usually classified using only a Jacobian matrix of the approximated vector field. This work shows how an approximation using a second order derivative can be used for more detailed classification. An algorithm for calculation of the curvature of main axes is also presented.

引用

页码：2373 / 2377

页数：5

共 13 条

[1]

De Leeuw W., 1999, Proceedings Visualization '99 (Cat. No.99CB37067), P349, DOI 10.1109/VISUAL.1999.809907

[2] REPRESENTATION AND DISPLAY OF VECTOR FIELD TOPOLOGY IN FLUID-FLOW DATA SETS [J].

HELMAN, J ;

HESSELINK, L .

COMPUTER, 1989, 22 (08) :27-36

[3] 2D Vector field approximation using linear neighborhoods [J].

Koch, Stefan ;

Kasten, Jens ;

Wiebel, Alexander ;

Scheuermann, Gerik ;

Hlawitschka, Mario .

VISUAL COMPUTER, 2016, 32 (12) :1563-1578

[4]

Lu KW, 2013, IEEE PAC VIS SYMP, P257, DOI 10.1109/PacificVis.2013.6596153

[5] Vector field analysis and synthesis using three-dimensional phase portraits [J].

Philippou, PA ;

Strickland, RN .

GRAPHICAL MODELS AND IMAGE PROCESSING, 1997, 59 (06) :446-462

[6] Visualizing nonlinear vector field topology [J].

Scheuermann, G ;

Kruger, H ;

Menzel, M ;

Rockwood, AP .

IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 1998, 4 (02) :109-116

[7] 2D Vector Field Simplification Based on Robustness [J].

Skraba, Primoz ;

Wang, Bei ;

Chen, Guoning ;

Rosen, Paul .

2014 IEEE PACIFIC VISUALIZATION SYMPOSIUM (PACIFICVIS), 2014, :49-56

[8]

Smolik M., 2016, P SIGRAD 2016, V127, P15

[9]

Smolik M, 2017, 2017 IEEE 15TH INTERNATIONAL SYMPOSIUM ON APPLIED MACHINE INTELLIGENCE AND INFORMATICS (SAMI), P431, DOI 10.1109/SAMI.2017.7880347

[10]

Theisel Holger, 1995, THESIS

← 1 2 →