人物簡介
多年來一直從事本科生和研究生教學，主講多門本科生課程，一直擔任研究生的學位課程，如樣條函式、（多變數）函式逼近論、計算代數幾何，以及計算機輔助幾何設計的教學工作。從1983年開始培養碩士生，1993年開始培養博士生，至今已培養畢業11名博士生，20多名碩士生。
從上世紀七十年代後期開始，從事三次樣條、Bézier曲線等套用研究，1979－81年在美國Wisconsin大學數學研究中心，跟隨de Boor教授系統地學習了樣條函式和函式逼近論的基本理論，並完成了多篇研究論文。81年回國後，從事計算機輔助設計和圖形學，以及數值逼近等方向的研究，並從上世紀八十年代開始，一直承擔中科院、教育部（教委）和自然科學基金委的研究課題。
二十多年來已在國內外學術刊物上發表論文70多篇，其中20多篇論文發表在SIAM，CAGD, Graphical Models, JAT, CAT, BIT, JCAM等國際著名刊物上，早期主要從事曲面的保型和逼近、三角域上B－B曲面、樣條函式等方面的研究，取得了一系列令國內外同行所關注的成果。近幾年來，在代數曲面造型，把分片代數曲面套用於構造過渡曲面及補洞等方面做了具有國際水平的研究成果。曾獲中科院自然科學貳等獎。在動態隱式曲線、曲面重構的理論和套用方面做了一些初步的工作。
工作簡歷
1 學習、工作簡歷
1959.9 — 1964.7 中國科學技術大學數學系學習
1964.9 — 1978 中國科學技術大學數學系助教
1978 — 1983 中國科學技術大學數學系講師
1983 — 1988 中國科學技術大學數學系副教授
1988 — 中國科學技術大學數學系教授
1993 — 中國科學技術大學數學系博士生指導教師
2 國外訪問經歷
1979.7 — 1981.7 訪問學者 美國Wisconsin?大學 數學研究中心
1986.9 — 1987.3 訪問學者 ICTP, Trieste, 義大利
1989.10 — 1990.1 訪問教授 套用數學中心，Dannstadt工業大學 德國
1990.2.5 — 1990.2.20 訪問教授 Florence大學工程系 義大利
1990.2 — 1990.3 訪問教授 Ljubljana大學數學系，南斯拉夫
1990.3 — 1990.4 訪問教授 Moscow?大學數學系 前蘇聯
1992.9 — 1992.12 訪問教授 ICTP數學組，Trieste, 義大利
1993.1 — 1993.3 訪問教授 美國Purdue大學計算機科學系
1994.8.2 — 1994.8.11參加在Zurich, Switzerland召開的國際數學家大會
1994.6 — 1994.9 訪問教授 Associate member, Trieste, 義大利
1995.9 — 1995.12 訪問教授 Associate member, Trieste, 義大利
3.獲獎情況
曾獲中科院自然科學貳等獎。
著作及論文
[1]鋼閘門板、梁組合結構的有限元方法（與石鐘慈合作），科大學報，Vol.6 (1976), 18-40.
[2]全正矩陣逆陣的p範數的一個性質，科大學報，Vol.10 (1980), 145-146.
[3]On the generalized Euler-Frobenius polynomials (with J. Kozak), J. of Approximation Theory, Vol.32 (1981), 327-338 (SCI)
[4]L-bound of L2-projections onto splines on a geometric mesh (with J. Kozak), J. of Approximation Theory, Vol.25 (1982), 64-76. (SCI)
[5]一類分片正交多項式快速變換的註記（與齊東旭合作），科大學報專輯(1983), 10-15.
[6]On the Haar and Walsh systems on a triangle (with D. X. Qi), J. of Computational Mathematics, Vol.1(1993), 223-232 (SCI)
[7]奇階的Euler-Frobenius多項式最接近於?1的零點的估計，科大學報，Vol.13(1983), 288-292.
[8]Walsh-Fourier投影的極小性質（與奚梅成合作），第五屆逼近論會議文集(1983), 189-193.
[9]Error bound for Bernstein-Bézier triangular approximation (with G. Z. Chang), J. of Computational Mathematics, Vol. 1(1983), No.4, 335-340. (SCI)
[10]有界變差函式的U富氏級數在不連續點的發散性（與奚梅成合作），科大學報數學專輯 (1983), 1-7.
[11]On the convergence of Fourier-U-series (with D. X. Qi), J. of USTC (Math. Issue) (1983), 7-17.
[12]計算幾何與Bernstein多項式（與常庚哲合作），套用數學與計算數學，No.3(1984), 1-10.
[13]A sequence of piecewise orthogonal polynomials (with D. X. Qi), SIAM J. of Mathematical Analysis, Vol.15 (1984), No.4, 834-844. (SCI)
[14]在幾何剖分平均節點上的樣條插值，數學研究與評論，Vol.4(1984), No.2, 37-42.
[15]關於正交完備系U（與齊東旭合作），吉林大學學報（自然科學版），1984, No.2, 21-32.
[16]樣條函式變差減縮運算元疊代極限的簡單證明（與常庚哲合作），系統科學與數學，Vol.4 (1984), 165-172
[17]An improved condition for the convexity of Bernstein-Bézier surfaces over triangles (with G. Z. Chang), Computer Aided Geometric Design, Vol.1 (1984), 279-283. (SCI)
[18]矩形域上Bernstein多項式的疊代極限（與常庚哲合作），工程數學，Vol.1, No.2 (1984), 137-141.
[19]A new proof of the convexity of the Bernstein polynomials over triangles (with G. Z. Chang), The Chinese Annual of Mathematics, Vol.6 (1985), Series B, 141-146. (SCI)
[20]Limit of iterates for Bernstein polynomials defined on higher dimensional domains (with G. Z. Chang), A Monthly Journal of Science, Vol.31 (1986), 157-160 (SCI)
[21]矩形域上Bernstein多項式的逼近階（與常庚哲合作），湖南數學年刊，Vol.5 (1985), 23-31.
[22]一類廣義的顯式樣條插值格式，高校計算數學，Vol.8 (1986), 327-333.
[23]Rates of convergence of Bézier net over triangles, Computer Aided Geometric Design, Vol.4 (1987), 245-249. (SCI)
[24]Formula of degree elevation for B-splines and its applications (with J. W. Zhou), The Proceedings of the Fourth Chinese Approximation Theory Conference, 1987, 86-87.
[25]An approach to the interpolation of nonuniformly paced data (with J. Kozak), J. of Comput. and Math., 23 (1988), 169-178. (SCI)
[26]Farin定理的一個簡單證明，湖南數學年刊，Vol.8, No.1-2 (1988), 60-63.
[27]A pair of compatible variations for Bernstein triangular polynomials (with G. Z. Chang), Approximation Theory and its Applications, Vol.5, No.1 (1989), 1-10. (SCI)
[28]Lipschitz constants for the Bernstein polynomials over a triangle, J. of Mathematical Research and Exposition, Vol.10, No.1 (1990), 105-108. (SCI)
[29]Gn-1-Functional splines for interpolation and approximation of surfaces and solids (with J. Hoschek, E. Hartmann and J. Li), International Series in Numerical Mathematics, 1990, Birkhauser Verlag Basel, 1-14.
[30]The convexity of families of adjoint patches for a Bézier triangular surfaces (with J. Kozak), Journal of Comp. Math., Vol.9, No.4 (1991), 301-304. (SCI)
[31]Asymptotic expantion formula for Bernstein polynomials defined on a simplex (with J. Kozak), Constru. Approx. Theory Vol.8 (1992), 49-59. (SCI)
[32]Limit of iterate for Bernstein polynomials defined over triangles (with F. L. Chen), Applied Math., A Journal of Chinese Univ., Vol.8, Ser.B (1993), 45-53.
[33]On the convexity for functional splines (with E. Hartmann), Computer Aided Geometric Design, 10 (1993), 127-142. (SCI)
[34]Positivity and convexity conditions for Bernstein-Bézier polynomials over rectangles (with Youdong Ding), J. of China Univ. of Sci. and Tech., Vol.23 (1993), 391-397.
[35]Criteria for copositive matrices of order four (with P. Li), Linear Algebra and its Application, 194(1993), 109-124. (SCI)
[36]Invariance of weak convex conditions of B-net with respect to subdivision (with F. L. Chen, H. L. Zhou), Computer Aided Geometric Design, 11 (1994), 97-107. (SCI)
[37]On convexity and Schoenberg’s variation diminishing splines (with J. Kozak), J. of China Univ. of Sci. and Tech., Vol.24 (1994), 129-134.
[38]Cutting corners preserves lipschitz continuity (with J. Kozak), Applied Math., A Journal of Chinese Univ., 9 (1994), 31-34.
[39]On the convexity of Bézier surfaces defined on a rectangular (with F. L. Chen), Compu. Math., J. of Chinese Uni., (special issue of Comp. Geome.), 1995, 7-13.
[40]On G2 continuous interpolatory composite quadratic Bézier curve (with J. Kozak), J. of Compu. And Applied Math., 72 (1996), 141-159. (SCI)
[41]The theorems on the B-B polynomials defined on a simplex in blossoming form (with J. Kozak), J. of Compu. Math., Vol.14, No.1 (1996), 64-70. (SCI)
[42]On the dimension of the C1 spline space for the Morgan-Scott triangulation from the blossoming approach (with J. Kozak and M. Zhang), Proceedings of the International Workshop, Advanced Topics in Multivaraite Approximation, edited by F. Foutanella, K. Jeffer, P. J. Lanrent, World Scientific, 1996, 71-86. (ISTP)
[43]On G2 continuous cubic spline interpolation, BIT, Vol.37, No.2 (1996), 312-332. (SCI)
[44]Tracing a planar algebraic curve (with F. L. Chen and J. Kozak), Applied Math., A Journal of Chinese Unv., 12B (1997), 15-24.
[45]On spline interpolation of space data (with J. Kozak), International Conference on Mathematical Methods for Curves and Surfaces, Lille Hammer Norway, Jul 3-8, 1997. (ISTP)
[46]研究二元樣條空間維數的blossoming方法（與陳之兵等合作），高校套用數學學報，幾何設計專輯，13A(1998), 64-78.
[47]Morgan-Scott剖分上樣條空間 的維數（與鄧建松等合作），高校套用數學學報”幾何設計專輯，13A(1998), 91-98.
[48]一種平面保凸插值構造光滑曲線的方法（與鄧建松合作），高校套用數學學報”幾何設計專輯，13A(1998), 1-8。
[49]Morgan-Scott剖分上樣條空間 的維數（?與鄧建松等合作），中國科大學報，1998, Vol. 21, No. 9, 855-859.
[50]關於自然樣條空間的維數（與陳效群等合作），中國科大學報，1998, Vol.28, No.4, 377-383.
[51]多項式模上的全次數除法及其在CAGD中的套用(I)（與鄧建松等合作），中國科大學報, Vol. 30, No.3, 263 – 269, 2000.
[52]多項式模上的全次數除法及其在CAGD中的套用(II)（與鄧建松等合作），中國科大學報, Vol. 30, No.4, 379 – 386, 2000.
[53]Blending pipe surfaces with G2 piecewise algebraic surfaces (with C. S. Chen etal.), 8th Proc. of Pacific Graphics, 2000, HongKong, China, 175 – 183. (ISTP)
[54]A note on the dimension of the bivariate spline space over the Morgan--Scott triangulation (with J. S. Deng etal), SIAM J. Numer. Anal., Vol.37, No.3(2000), 1021 – 1028. (SCI)
[55]The blossom approach to the dimension of the bivariate spline space, J. of Comp. Math., Vol.18, No.2, 2000, 183-198. (SCI)
[56]On the convexity of algebraic curves and surfaces (with X. Tang etal.), CAD/Graphics 2001, The 7th International Conference on Computer Aided Design and Computer Graphics, August, 2001, 40-48. (ISTP)
[57]Blending quadric surfaces with piecewise algebraic surfaces (with C. S. Chen etal.), Graphical Models 63, 212-227 (2001). (SCI)
[58]雙曲面片的高精度多項式逼近（與曾芳玲等合作），計算機輔助設計與計算機圖形學學報，Vol.14, No.10, 2002, 953-958. (EI)
[59]構造代數曲面的Gr?bner基方法（與婁文平等合作），計算機學報，Vol.25, No.6 (2002), 599-606. (EI)
[60]Subdivision for generating quadrics (with G. F. Wei etal.), Comp. Science, 2002, Vol.29, No.11(special issue), 33-35. (EI)
[61]High accurate approximation of the ellipsoid surface patch by bicubic Bézier polynomial (with F. L. Zeng etal.), The Second International Conference on Image and Graphics, Anhui, Hefei, 2002, 1032-1040. (ISTP)
[62]Perfect approximation of ellipsoid by polynomials (with F. L. Zeng etal), J. of Chinese software, 13 (2002), 526-531. (EI)
[63]One-sided approximation of polynomial under L1 norm (with J. S. Deng etal), J. of Comp. and Appl. Math., 144(2002), 161-174. (SCI)
[64]二次曲線的多項式逼近（與曾芳玲等合作），計算機輔助設計和計算機圖形學學報，Vol.15, No.5, 2003, 547-551. (EI)
[65]The solution of difference equations and its applications in CAGD (with W. H. Tong etal), CAD/Graphics, 2003. (ISTP)
[66]Some notes on the best one-sided approximation of polynomials under L1 norm (with J. S. Deng etal.), CAD/Graphics, 2003. (ISTP)
[67]Polynomial interpolant approximation with geometric continuity is much better than Hermite interpolation (with F. L. Zeng etal.), J. of USTC, vol.23, No.2, 2003, 127-133.
[68]Yuyu Feng, Falai Chen, Jiansong Deng, Changsong Chen, Xing Tang, Constructing piecewise algebraic blending surfaces, in Geometric Computing, Lecture Notes Series on Computing, Vol.11, ed. Falai Chen and Dongming Wang, World Scientific, 34--64, 2004.
承擔項目
基金 “曲面造型的代數幾何方法”
1998.1 — 2000.12 國家自然科學基金 “計算幾何中曲面設計的代數幾何方法”
1999.1 — 2001.12 博士點基金 “曲面造型的代數幾何方法和物理模型方法”
1995.1 — 1997.12 國家自然科學基金 “計算機輔助幾何設計中代數曲面的研究”
1996.9 — 1998.12 中科院特別支持費 “CAGD中代數曲面的研究”
1995.1 — 1997.12 博士點基金 “計算幾何中代數曲面的研究”
1993.9 — 1996.8 中科院特別支持費 “CAGD中曲面的表示和逼近”
1992.1 — 1994.12 國家自然科學基金 “計算幾何中曲面設計的方法和理論”
1991.1 — 1993.12 中科院特別支持費 “CAGD中Bernstein-Bézier方法”
1988.1 — 1990.12 國家自然科學基金 “計算機輔助幾何設計中曲面的表示和逼近”
1985 — 1987 高校基金準字2號 “計算機輔助幾何設計中的B-B方法”
1983 — 1984 (83) 858號科學院科學基金 “計算幾何與樣條函式”
