Determination of Stationary Points and Their Bindings in Dataset Using RBF Methods

被引:3
作者
Majdisova, Zuzana [1 ]
Skala, Vaclav [1 ]
Smolik, Michal [1 ]
机构
[1] Univ West Bohemia, Fac Sci Appl, Dept Comp Sci & Engn, Univ 8, Plzen 30614, Czech Republic
来源
COMPUTATIONAL AND STATISTICAL METHODS IN INTELLIGENT SYSTEMS | 2019年 / 859卷
关键词
Stationary points; RBF interpolation; Shape parameter; Shape detection; Nearest neighbor; ENERGY SURFACES;
D O I
10.1007/978-3-030-00211-4_20
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Stationary points of multivariable function which represents some surface have an important role in many application such as computer vision, chemical physics, etc. Nevertheless, the dataset describing the surface for which a sampling function is not known is often given. Therefore, it is necessary to propose an approach for finding the stationary points without knowledge of the sampling function. In this paper, an algorithm for determining a set of stationary points of given sampled surface and detecting the bindings between these stationary points (such as stationary points lie on line segment, circle, etc.) is presented. Our approach is based on the piecewise RBF interpolation of the given dataset.
引用
收藏
页码:213 / 224
页数:12
相关论文
共 12 条
[1]   SEARCH FOR STATIONARY-POINTS ON SURFACE [J].
BANERJEE, A ;
ADAMS, N ;
SIMONS, J ;
SHEPARD, R .
JOURNAL OF PHYSICAL CHEMISTRY, 1985, 89 (01) :52-57
[2]  
Bhatia V, 2014, ROUT HANDB APPL, P3
[3]   Mean shift: A robust approach toward feature space analysis [J].
Comaniciu, D ;
Meer, P .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2002, 24 (05) :603-619
[4]  
Franke R., 1979, A critical comparison of some methods for interpolation of scattered data
[5]   Newton trajectories for finding stationary points on molecular potential energy surfaces [J].
Liu, Yuli ;
Burger, Steven K. ;
Ayers, Paul W. .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2011, 49 (09) :1915-1927
[6]   Big geo data surface approximation using radial basis functions: A comparative study [J].
Majdisova, Zuzana ;
Skala, Vaclav .
COMPUTERS & GEOSCIENCES, 2017, 109 :51-58
[7]   Radial basis function approximations: comparison and applications [J].
Majdisova, Zuzana ;
Skala, Vaclav .
APPLIED MATHEMATICAL MODELLING, 2017, 51 :728-743
[8]   RBF Interpolation with CSRBF of Large Data Sets [J].
Skala, Vaclav .
INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE (ICCS 2017), 2017, 108 :2433-2437
[9]   Large scattered data interpolation with radial basis functions and space subdivision [J].
Smolik, Michal ;
Skala, Vaclav .
INTEGRATED COMPUTER-AIDED ENGINEERING, 2018, 25 (01) :49-62
[10]   Free energy surfaces from an extended harmonic superposition approach and kinetics for alanine dipeptide [J].
Strodel, Birgit ;
Wales, David J. .
CHEMICAL PHYSICS LETTERS, 2008, 466 (4-6) :105-115