数学系学术讲座(四十)

发布时间: 2023-10-26 来源: 信息科学技术学院

  目:Implicit surface reconstruction based on a new interpolation/approximation radial basis function

内容简介:Interpolation and approximation radial basis function (RBF) has been widely used in the implicit surface reconstruction. However, a simple interpolation or approximation method may either have unwanted oscillation around the scattered points, or have low accuracy at scattered points. In this talk, we construct a new representation of RBF, which unites interpolation and approximation. A further adaptive algorithm to determine interpolation and approximation is presented. With the new representation, we can develop quasi-interpolation method from an approximation method into a method combining interpolation and approximation. And we can determine interpolation or approximation at each of scattered points without solving large linear systems. Experiments show that the given method is precision-controlled and fast in implicit surface reconstruction.

报告人:朱远鹏

报告人简介:华南理工大学数学学院副教授。2004-2014年,本硕博毕业于中南大学数学与统计学院,2014-2016年在中科大数学科学学院从事博士后研究工作,2016年至今在华南理工大学数学学院工作。长期从事新型样条的构造与应用研究。已主持完成国家自然科学基金青年项目,广东省自然科学基金博士启动纵向协同项目,中央高校基本科研业务项目和中国博士后科学基金面上项目。以第一或通讯作者在专业顶级期刊SIAM Journal on Scientific ComputingComputer Methods in Applied Mechanics and Engineering等发表学术论文40余篇。所提出的新型样条理论与方法已成功应用于广东时谛智能科技有限公司鞋楦CAD自由曲面逆向软件平台,形成约一千万的经济效益。指导40名本科生参与5项国家级大学生创新创业训练项目,指导5名本科生获第十六届 “挑战杯”广东省大学生课外学术科技作品一等奖。指导17名本科生在CAGDCalcolo等期刊发表了11SCI论文,其中JCR一区2篇, JCR二区7篇,JCR四区2篇。

  间:20231027日(周五)上午1100开始

  点:石牌校区南海楼224

 

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信息科学技术学院

20231026