92 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of KentuckyUS9 papers
- Columbia UniversityUS5 papers
- University of MissouriUS4 papers
- Catholic University of AmericaUS2 papers
- Goddard Space Flight CenterUS2 papers
- Harvard UniversityUS2 papers
- Massachusetts Institute of TechnologyUS2 papers
- Duke UniversityUS1 paper
- Honeywell (United States)US1 paper
- Institut thématique Génétique, génomique et bioinformatiqueFR1 paper
- National Nuclear Security AdministrationUS1 paper
- Rutgers, The State University of New JerseyUS1 paper
9 papers · 1 filter
Solving Groundwater Flow Equations Using Gradually Varied Functions
Li Chen, Xun-Hong Chen
Finite difference method and finite element method are popular methods for solving groundwater flow equations. This paper presents a new method that uses gradually varied functions…
Continuity-Forcing for Derivatives in Data Reconstruction
L. M. Chen
The smooth function reconstruction needs to use derivatives. In 2010, we used the gradually varied derivatives to successfully constructed smooth surfaces for real data. We also br…
Harmonic Functions for Data Reconstruction on 3D Manifolds
Li Chen, Feng Luo
In computer graphics, smooth data reconstruction on 2D or 3D manifolds usually refers to subdivision problems. Such a method is only valid based on dense sample points. The manifol…
A Digital-Discrete Method For Smooth-Continuous Data Reconstruction
Li Chen
A systematic digital-discrete method for obtaining continuous functions with smoothness to a certain order (C^(n)) from sample data is designed. This method is based on gradually v…
Smoothness and Smooth Extensions (I): Generalization of MWK Functions and Gradually Varied Functions
Li Chen
A mathematical smooth function means that the function has continuous derivatives to a certain degree C(k). We call it a k-smooth function or a smooth function if k can grow infini…
Applications of the Digital-Discrete Method in Smooth-Continuous Data Reconstruction
Li Chen
This paper presents some applications using recently developed algorithms for smooth-continuous data reconstruction based on the digital-discrete method. The classical discrete met…
Digital-Discrete Surface Reconstruction: A true universal and nonlinear method
Li Chen
The most common problem in data reconstruction is to fit a function based on the observations of some sample (guiding) points. This paper provides a methodological point of view of…
Applications of the Digital-Discrete Method in Smooth-Continuous Data Reconstruction
Li Chen
This paper presents some applications of using recently developed algorithms for smooth-continuous data reconstruction based on the digital-discrete method. The classical discrete…
Gradual Variation Analysis for Groundwater Flow
Li Chen
Groundwater flow in Washington DC greatly influences the surface water quality in urban areas. The current methods of flow estimation, based on Darcy's Law and the groundwater flow…