Titlebook: Digital Functions and Data Reconstruction; Digital-Discrete Met Li M. Chen Book 2013 Springer Science+Business Media, LLC 2013 3D data reco

审问

Basic Numerical and Computational Methods curve approximation; and (4) Coons surfaces and spline surface fitting. In curve and surface fitting, we briefly introduce some of the advanced methods including B-Spline and Bernstein polynomial approximation.

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Digital-Discrete Methods for Data Reconstructionthe chapter, we discuss the methodology issues of our method and its differences from between other methods. Piecewise smooth data reconstruction and harmonic data reconstruction is presented in Chap. 9. Smooth data reconstruction on triangulated manifolds using the subdivision method is introduced in Chap. 12.

Arbitrary

Harmonic Functions for Data Reconstruction on 3D Manifoldspolation on the edges so that each point on the edge will be assigned a value. In addition, all values on the edge are gradually varied. (3) Use discrete harmonic functions to fit the unknown points, i.e. the points inside each partition patch. This solution of the fitting becomes the piecewise harmonic function.

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Gradual Variations and Partial Differential Equationsond, we establish a mathematical model based on gradually varied functions for parabolic differential equations, then we use this method for groundwater data reconstruction. This model can also be used to solve elliptic differential equations. Lastly, we present a case study for solving hyperbolic differential equations using our new method.

去世

deficiency

可商量

https://doi.org/10.1007/978-1-4613-0037-3 from existing popular methods such as the cubic spline method and the finite element method. The new digital-discrete method has considerable advantages for a large number of real data applications. This digital method also differs from other classical discrete methods that usually use triangulation.

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正论

Gradually Varied Functions for Advanced Computational Methods-spline, and finite element methods. Then we give a new consideration for the smooth function definitions in real world problems. This chapter makes more connections to the mathematical aspects of digital functions.

起皱纹

Introduction chapter, we will describe the necessity of developing such a method and its relationship to modern numerical analysis and even functional analysis. We will also discuss the various applications of developing this theory and its role in predicting future trends.