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A Smoothing Method of Global Optimization that Preserves Global Minima
Journal of Global Optimization, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mark S. K. Lau, C. P. Kwong
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A Global Laplacian Smoothing Approach with Feature Preservation
Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG'05), 2006This paper presents a novel approach for surface smoothing with feature preservation on arbitrary meshes. Laplacian operator is performed in a global way over the mesh. The surface smoothing is formulated as a quadratic optimization problem, which is easily solved a sparse linear system.
Zhongping Ji +2 more
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, 2016 In this chapter we study the multivariate generalized discrete singular operators defined on ℝN, N ≥ 1, regarding their simultaneous global smoothness preservation property with respect to Lp-norm for 1 ≤ p ≤ ∞, by using higher order moduli of smoothness.
Kester, Merve, Anastassiou, George A.
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, 2016 In this chapter we continue with the study of generalized discrete singular operators over the real line regarding their simultaneous global smoothness preservation property with respect to Lp-norm for 1 ≤ p ≤ ∞, by involving higher order moduli of ...
Kester, Merve, Anastassiou, George A.
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On Global Smoothness Preservation by Bernstein Operators
Journal of Computational Analysis and Applications, 2001Bernstein operators (and many of their generalizations) preserve the global smoothness measured by the first-order modulus of smoothness. What about the second-order modulus? The paper is devoted to this question. The author improves some results of Ding-Xuan Zhou (1995) and J. Adell-A. Perez-Palomares (1997), and gives a partial answer to a conjecture
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Global Smoothness Preservation by Trigonometric Operators
2000Let {Tn(f)}n be a sequence of trigonometric approximation operators applied to a continuous periodic function f ∈ C2π.
George A. Anastassiou, Sorin G. Gal
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Geophysical Prospecting, 2013
ABSTRACTEstimating elastic parameters from prestack seismic data remains a subject of interest for the exploration and development of hydrocarbon reservoirs. In geophysical inverse problems, data and models are in general non‐linearly related. Linearized inversion methods often have the disadvantage of strong dependence on the initial model.
Yan Zhe, Gu Hanming
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ABSTRACTEstimating elastic parameters from prestack seismic data remains a subject of interest for the exploration and development of hydrocarbon reservoirs. In geophysical inverse problems, data and models are in general non‐linearly related. Linearized inversion methods often have the disadvantage of strong dependence on the initial model.
Yan Zhe, Gu Hanming
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2011
In this chapter, we study the fuzzy global smoothness and fuzzy uniform convergence of fuzzy Picard, Gauss- Weierstrass and Poisson- Cauchy singular fuzzy integral operators to the fuzzy unit operator. These are given with rates involving the fuzzy modulus of continuity of a fuzzy derivative of the involved function.
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In this chapter, we study the fuzzy global smoothness and fuzzy uniform convergence of fuzzy Picard, Gauss- Weierstrass and Poisson- Cauchy singular fuzzy integral operators to the fuzzy unit operator. These are given with rates involving the fuzzy modulus of continuity of a fuzzy derivative of the involved function.
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