數學系學術講座(四十)

發布時間: 2023-10-26 來源: 太阳集团1088vip

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

内容簡介: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.

報告人:朱遠鵬

報告人簡介:華南理工大學數學學院副教授。2004-2014年,本碩博畢業于中南大學數學與統計學院,2014-2016年在中科大數學科學學院從事博士後研究工作,2016年至今在華南理工大學數學學院工作。長期從事新型樣條的構造與應用研究。已主持完成國家自然科學基金青年項目,廣東省自然科學基金博士啟動縱向協同項目,中央高校基本科研業務項目和中國博士後科學基金面上項目。以第一或通訊作者在專業頂級期刊SIAM Journal on Scientific ComputingComputer Methods in Applied Mechanics and Engineering等發表學術論文40餘篇。所提出的新型樣條理論與方法已成功應用于廣東時谛智能科技有限公司鞋楦CAD自由曲面逆向軟件平台,形成約一千萬的經濟效益。指導40名本科生參與5項國家級大學生創新創業訓練項目,指導5名本科生獲第十六屆 “挑戰杯”廣東省大學生課外學術科技作品一等獎。指導17名本科生在CAGDCalcolo等期刊發表了11SCI論文,其中JCR一區2篇, JCR二區7篇,JCR四區2篇。

  間:20231027日(周五)上午1100開始

  點:石牌校區南海樓224

 

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