戴道清
复分析,小波分析,图像处理与模式识别
个性化签名
- 姓名:戴道清
- 目前身份:
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学术头衔:
博士生导师
- 职称:-
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学科领域:
应用数学
- 研究兴趣:复分析,小波分析,图像处理与模式识别
戴道清,1963年4月生于湖南省桃源县。1990年博士研究生毕业于武汉大学数学系。现为中山大学“应用数学”和“通信与信息系统”博士研究生指导教师,中国工业与应用数学学会常务理事,广东省工业与应用数学学会理事长,中山大学数学与计算科学学院副院长,美国“Mathematical Review”评论员。戴道清的研究方向为:复分析,小波分析,图像处理与模式识别。发表论文近50篇。与杨力华等合作翻译出版了S. Mallat的名著:A Wavelet Tour of Signal Processing。主持承担国家自然科学基金项目三项(19601039,10071096,60175031),参加国家自然科学基金重点项目一项(10231040),主持广东省自然科学基金项目两项以及教育部基金项目三项。曾为3rd ISAAC(Berlin, Germany, August 2001)的Session Chair,第五届中国生物识别学术会议(2004年)程序委员会主席;国家自然科学基金项目、教育部博士点基金项目、浙江省自然科学基金(信息部分)省外评阅人。1998年1月至1999年8月获德国洪堡基金会资助访问德国柏林自由大学。1999年8月在日本福冈召开的ISAAC国际会议上获“杰出研究成就”。
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主页访问
4057
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关注数
0
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成果阅读
406
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成果数
7
戴道清, Xiao-Sheng Zhuang and Dao-Qing Dai
,-0001,():
-1年11月30日
This paper addresses the small sample size problem in linear discriminant analysis, which occurs in face recognition applications. Belhumeur, Hespanha and Kriegman (IEEE Trans. on PAMI, Vol. 19 (7) (1997), 711-720.) proposed the FisherFace method. We find out that the FisherFace method might fail since after the PCA transform the corresponding within class covariance matrix can still be singular, this phenomenon is verified with the Yale face database. Hence we propose to use an inverse Fisher criteria. Experiment results suggest that this new approach works well.
linear discriminant analysis,, small sample size problem,, Inverse Fisher discriminate criteria,, face recognition.,
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55浏览
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291下载
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【期刊论文】ORTHONORMAL POLYNOMIAL WAVELETS ON THE INTERVAL
戴道清, DAO-QING DAI AND WEI LIN
,-0001,():
-1年11月30日
We use special functions and orthonormal wavelet basis on the real line to construct wavelet-like basis. With these wavelets we can construct polynomial basis on the interval, moreover we can use them to the numerical resolution of degenerate elliptic operators.
Chebyshev polynomials,, Riesz basis,, wavelets,, degenerate elliptic operator.,
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40浏览
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180下载
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【期刊论文】On a nonlocal problem for nonlinear pseudoparabolic equation in one space dimension*
戴道清, Dao-Qing Dai and Yu Huang
,-0001,():
-1年11月30日
For a one-dimensional nonlinear pseudoparabolic equation we consider its initial boundary value problem on an interval. The boundary condition on the left endpoint is of Dirichlet type, but the condition on the right endpoint is replaced by a nonlocal one. Because it is given by an integral, the function involved could exhibit singularities, which distinguishes this nonlocal condition from its Dirichlet counterpart. Based on an elliptic estimate and an iteration method we established the well-posedness of solutions in a weighted Sobolev space.
Nonlinear pseudoparabolic equation, weighted Sobolev space, elliptic estimate, nonlocal boundary condition
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74浏览
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225下载
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【期刊论文】Fourier Method for an Over-Determined Elliptic System with Several Complex Variables
戴道清, Dao Qing DAI
,-0001,():
-1年11月30日
Two boundary value problems are investigated for an over-determined elliptic system with several complex variables in polydisc. Necessary and sufficient conditions for the existence of finitely many linearly independent solutions and finitely many solvability conditions are derived. Moreover, the boundary value problem for any number of complex variables is treated in a unified way and the essential dierence between the case of one complex variable and that of several complex variables is revealed.
Several complex variables,, Analytic functions,, Riemann problem,, Riemann-Hilbert problem,, Over-determined elliptic system
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58浏览
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174下载
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【期刊论文】RIEMANN MAPPING THEOREMS FOR BELTRAMI EQUATIONS BY CIRCLE PACKINGS
戴道清, SHI-YI LAN AND DAO-QING DAI
PACIFIC JURNAL OF MATHEMATICS Vol. 217. No.1, 2004,-0001,():
-1年11月30日
We use circle packing techniques to construct approximate solutions to the generalized Beltrami equations with simply and multiply connected regions in the plane. We show convergence of the approximate solutions. This gives a constructive proof for the existence of quasiconformal mappings with a given pair of complex dilations.
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60浏览
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191下载
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【期刊论文】Galerkin analysis for Schr
戴道清, Dao-Qing Dai, Bin Hana) and Rong-Qing Jia
J. Math. Phys., Vol. 45, No.3, March 2004,-0001,():
-1年11月30日
We consider the perturbed Schr
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71浏览
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【期刊论文】On continuous solutions of a generalized Cauchy-Riemann system with more than one singularity
戴道清, Heinrich Begehr a, * and Dao-Qing Dai b,
J. Differential Equations 196(2004)67-90,-0001,():
-1年11月30日
We study the solvability of the Riemann-Hilbert problem for a generalized Cauchy-Riemann system with several singularities and reveal several new phenomenon. For the number of continuous solutions we shall show that it depends not only on the index but also on the location and type of the singularities; moreover, it does not depend continuously on the coefficients of the equation.
Boundary value problem, Singular coefficient, Generalized analytic function, A priori estimate, Continuous solution
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48浏览
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98下载
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