梁學(xué)章教授數(shù)學(xué)文選

前言
1．二元插值多項(xiàng)式的收斂性
2．二元插值的適定結(jié)點(diǎn)組與迭加插值法
3．關(guān)于多元函數(shù)的插值與逼近
4．構(gòu)造二元切觸插值公式的方法
5．On Bivariate Osculatory Interpolation，
6．Lagrange Interpolation On a Sphere，Northeast
7．Properly Posed Sets of Nodes for Multivariate Lagrange Interpolation in儼，
8．The Application of Cayley-Bacharach Theorem to Bivariate Lagrange Interpolation
9．多元Lagrange插值與Cayley-Bacharach定理
10．Some Researches on Rrivariate Lagrange Interpolation11．Multivariate Lagrange Interpolation and an Application of Cayley-Bacharach Theorem for It
12．高維空間中代數(shù)流形上多項(xiàng)式空間的維數(shù)與Lagrange插值適定結(jié)點(diǎn)組的構(gòu)造
13．Some Researches on Multivariate Lagrange Interpolation along the Sufficiently Intersected Algebraic Manifold
14．A Kind of Laange Interpolation on the Sphere．2009 WRI World Congress on Computer Science and Information Engineering．
15．On Lagrange and Hermite Interpolation Along Algebraic Manifold
16．Superposition Interpolation Process in C”
17．On Hakopian Interpolation in the Disk；Approx．
18．Kergin Interpolation at the Points Which Are Zeros of the Bivariate Polynomial of Least Deviation from Zero on the Disk：
19．Lagrange Representation of Multivariate Interpolation
20．關(guān)于圓域上Kergin插值的收斂性
21．On the Convergence of Hakopian Interpolation and Cubature
22．On the Integral Convergence of Kergin Interpolation on the Disk
23．On the Uniform Convergence of Kergin Interpolation on the Disk，
24．A New Algorithm for CT Based on Hakopian Interpolation．
25．基于Hakopian插值的快速圖像重建算法
26．Weighted Mean Convergence of Hakopian Interpolation on the Disk．
27．關(guān)于多元■逼近（I）
28．關(guān)于多元■逼近（II）
29．某些高維區(qū)域上的最小零偏差多項(xiàng)式
30．On Chebyshev Approximation in Several Variables（III），Approximation，Optimization and Computing：Theory and Applications．
31．基于圃域上多項(xiàng)式逼近的圖像重建算法
32．Analysis and Improvement of Marr’S Algorithm for Image Reconstruction：
33．平行六邊形域上的二重Fourier級(jí)數(shù)的線性求和
34．Convergence Properties of Generalized Fourier Series Oil a Parallel HexagonDomain，Comm
35．二元四次樣條插值與有限元
36．關(guān)于高精度樣條插值公式的一點(diǎn)注記
37．等距結(jié)點(diǎn)上一類新的樣條插值公式
38．關(guān)于二元四次樣條插值
39．兩鄰接州mBS曲面問的G2連續(xù)條件
40．G2Continuity Conditions for Two Adjacent B-spline Surfaces
41．G1Continuity Conditions of Adjacent NURBS Surfaces
42．G1Smooth ConnectionofAdjacent NURBS Surfaces
43．G1Smooth NUllS Surfaces with n-patch Comer
44．The Construction of G1 Smooth NURBS Surfaces over Arbitrary Topology Type．
45．B樣條曲面問G1連續(xù)條件及局部格式構(gòu)造問題
46．由點(diǎn)云數(shù)據(jù)生成三角網(wǎng)格曲面的區(qū)域增長算法
47．用Loop細(xì)分曲面擬合點(diǎn)云數(shù)據(jù)的方法
48．The Smooth Connection Algorithm between B-spline Surfaces Patches，
49．Loop細(xì)分小波緊框架對(duì)三維圖形壓縮的應(yīng)用
50．Bivariste Box-spline Wavelets，M．Cheng et以（eds．），Harmonic Analysis in China．
51．Real-valued Periodic Wavelets：Construction and Relation with Fourier Series
52．How to Get the Original Discrete Approximation for the Pyramid Algorithm of Multiresolution Decomposition
53．區(qū)同上的雙正交小波的一種構(gòu)造方法，高等學(xué)校計(jì)算數(shù)學(xué)學(xué)報(bào)
54．SolvSecond Kind Integral Equations by Galerkin Methods with Continuous Orthogonal Wavelets，J．Comput．Appl．Math
55．A Wavelet-based Ddtal Watermarking Algorithm，Proceedings of the International Conference on Wavelet Analysis and Its Applications
56．Bivariate Real-valued Orthogonal Periodic Box-spUne Wavelets，Northeast
57．Mammographic Image Enhancement and Denoting Based on Redundent Wavelet Transform，Proceedings of the International Conference 2006 Oil Wavelet Active Media Technology and Information Processing，
58．An Implementation of Fast Algorithm，q for Biorthogonal Periodic Interpolatory Wavelets，J．Inform．Comput．
59．A New Algorithm For Enhancing the Contrast of Finger-vein image
60．2D Chaotic Watermark Generation Based on Wavelet Transform and Bivariate Logistic Model，International Conference on Complex Systems and Applications
附錄　多元插值的適定結(jié)點(diǎn)組與疊加插值法
論文和著作總目錄