• 1551 Citations
  • 20 h-Index
1988 …2019

Research output per year

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Research Output

  • 1551 Citations
  • 20 h-Index
  • 75 Article
  • 13 Conference contribution
  • 3 Chapter
  • 1 Comment/debate
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Article
2019

An effective Lie–Kolchin Theorem for quasi-unipotent matrices

Koberda, T., Luo, F. & Sun, H., Nov 15 2019, In : Linear Algebra and Its Applications. 581, p. 304-323 20 p.

Research output: Contribution to journalArticle

Community Detection on Networks with Ricci Flow

Ni, C. C., Lin, Y. Y., Luo, F. & Gao, J., Dec 1 2019, In : Scientific reports. 9, 1, 9984.

Research output: Contribution to journalArticle

Open Access
3 Scopus citations

Convergence of discrete conformal geometry and computation of uniformization maps

Gu, D., Luo, F. & Wu, T., Jan 1 2019, In : Asian Journal of Mathematics. 23, 1, p. 21-34 14 p.

Research output: Contribution to journalArticle

2018

A discrete uniformization theorem for polyhedral surfaces

Gu, X. D., Luo, F., Sun, J. & Wu, T., Jun 2018, In : Journal of Differential Geometry. 109, 2, p. 223-256 34 p.

Research output: Contribution to journalArticle

16 Scopus citations

A discrete uniformization theorem for polyhedral surfaces II

Gu, X., Guo, R., Luo, F., Sun, J. & Wu, T., Jul 2018, In : Journal of Differential Geometry. 109, 3, p. 431-466 36 p.

Research output: Contribution to journalArticle

13 Scopus citations

Volume and rigidity of hyperbolic polyhedral 3-manifolds

Luo, F. & Yang, T., Mar 2018, In : Journal of Topology. 11, 1, p. 1-29 29 p.

Research output: Contribution to journalArticle

3 Scopus citations
2017

A new combinatorial class of 3-manifold triangulations

Luo, F. & Tillmann, S., Jan 1 2017, In : Asian Journal of Mathematics. 21, 3, p. 543-570 28 p.

Research output: Contribution to journalArticle

2 Scopus citations

Pseudo-developing maps for ideal triangulations II: Positively oriented ideal triangulations of cone-manifolds

Casella, A., Luo, F. & Tillmann, S., Jan 1 2017, In : Proceedings of the American Mathematical Society. 145, 8, p. 3543-3560 18 p.

Research output: Contribution to journalArticle

1 Scopus citations
2016

A TQFT of Turaev–Viro Type on Shaped Triangulations

Kashaev, R., Luo, F. & Vartanov, G., May 1 2016, In : Annales Henri Poincare. 17, 5, p. 1109-1143 35 p.

Research output: Contribution to journalArticle

9 Scopus citations

On a conjecture of milnor about volumes of simplexes

Guo, R. & Luo, F., Jan 1 2016, In : Asian Journal of Mathematics. 20, 5, p. 957-968 12 p.

Research output: Contribution to journalArticle

Variational principles for Minkowski type problems, discrete optimal transport, and discrete Monge-Ampere equations

Gu, X., Luo, F., Sun, J. & Yau, S. T., Jan 1 2016, In : Asian Journal of Mathematics. 20, 2, p. 383-398 16 p.

Research output: Contribution to journalArticle

20 Scopus citations
2015

Discrete conformal deformation: Algorithm and experiments

Sun, J., Wu, T., Gu, X. & Luo, F., Jul 14 2015, In : SIAM Journal on Imaging Sciences. 8, 3, p. 1421-1456 36 p.

Research output: Contribution to journalArticle

3 Scopus citations

Optimal Mass Transport for Shape Matching and Comparison

Su, Z., Wang, Y., Shi, R., Zeng, W., Sun, J., Luo, F. & Gu, X., Nov 1 2015, In : IEEE Transactions on Pattern Analysis and Machine Intelligence. 37, 11, p. 2246-2259 14 p., 7053911.

Research output: Contribution to journalArticle

25 Scopus citations

Solving Thurston's equation in a commutative ring

Luo, F., Jul 29 2015, In : Journal of Topology. 9, 1, p. 143-160 18 p., jtv040.

Research output: Contribution to journalArticle

1 Scopus citations

Survey on Discrete Surface Ricci Flow

Zhang, M., Zeng, W., Guo, R., Luo, F. & Gu, X. D., May 1 2015, In : Journal of Computer Science and Technology. 30, 3, p. 598-613 16 p.

Research output: Contribution to journalArticle

8 Scopus citations
2014

A dilogarithm identity on moduli spaces of curves

Luo, F. & Tan, S. P., Jun 2014, In : Journal of Differential Geometry. 97, 2, p. 255-274 20 p.

Research output: Contribution to journalArticle

6 Scopus citations

Optimal mass transport for geometric modeling based on variational principles in convex geometry

Su, Z., Sun, J., Gu, X., Luo, F. & Yau, S. T., Jan 1 2014, In : Engineering with Computers. 30, 4, p. 475-486 12 p.

Research output: Contribution to journalArticle

2 Scopus citations

Rigidity of polyhedral surfaces, I

Luo, F., Feb 2014, In : Journal of Differential Geometry. 96, 2, p. 241-302 62 p.

Research output: Contribution to journalArticle

7 Scopus citations

The unified discrete surface Ricci flow

Zhang, M., Guo, R., Zeng, W., Luo, F., Yau, S. T. & Gu, X., Sep 2014, In : Graphical Models. 76, 5, p. 321-339 19 p.

Research output: Contribution to journalArticle

18 Scopus citations
2013

Area-preservation mapping using optimal mass transport

Zhao, X., Su, Z., Gu, X. D., Kaufman, A., Sun, J., Gao, J. & Luo, F., Nov 4 2013, In : IEEE Transactions on Visualization and Computer Graphics. 19, 12, p. 2838-2847 10 p., 6634117.

Research output: Contribution to journalArticle

44 Scopus citations

Volume optimization, normal surfaces, and thurston’s equation on triangulated 3-manifolds

Luo, F., Jan 1 2013, In : Journal of Differential Geometry. 93, 2, p. 299-326 28 p.

Research output: Contribution to journalArticle

8 Scopus citations
2012

Computing quasiconformal maps using an auxiliary metric and discrete curvature flow

Zeng, W., Lui, L. M., Luo, F., Chan, T. F. C., Yau, S. T. & Gu, D. X., Aug 1 2012, In : Numerische Mathematik. 121, 4, p. 671-703 33 p.

Research output: Contribution to journalArticle

30 Scopus citations

Discrete heat kernel determines discrete Riemannian metric

Zeng, W., Guo, R., Luo, F. & Gu, X., Jul 1 2012, In : Graphical Models. 74, 4, p. 121-129 9 p.

Research output: Contribution to journalArticle

20 Scopus citations

Numerical computation of surface conformal mappings

Gu, X. D., Zeng, W., Luo, F. & Yau, S. T., Jan 2012, In : Computational Methods and Function Theory. 11, 2, p. 747-787 41 p.

Research output: Contribution to journalArticle

25 Scopus citations

Thurston's spinning construction and solutions to the hyperbolic gluing equations for closed hyperbolic 3-manifolds

Luo, F., Tillmann, S. & Yang, T., Nov 5 2012, In : Proceedings of the American Mathematical Society. 141, 1, p. 335-350 16 p.

Research output: Contribution to journalArticle

12 Scopus citations

Volume maximization and the extended hyperbolic space

Luo, F. & Schlenker, J. M., Jan 1 2012, In : Proceedings of the American Mathematical Society. 140, 3, p. 1053-1068 16 p.

Research output: Contribution to journalArticle

2 Scopus citations
2011

Cell decompositions of Teichmüller spaces of surfaces with boundary

Guo, R. & Luo, F., 2011, In : Pacific Journal of Mathematics. 253, 2, p. 423-438 16 p.

Research output: Contribution to journalArticle

3 Scopus citations

Computing shortest words via shortest loops on hyperbolic surfaces

Yin, X., Li, Y., Han, W., Luo, F., Gu, X. D. & Yau, S. T., Nov 1 2011, In : CAD Computer Aided Design. 43, 11, p. 1449-1456 8 p.

Research output: Contribution to journalArticle

1 Scopus citations

Rigidity of polyhedral surfaces, III

Luo, F., Dec 12 2011, In : Geometry and Topology. 15, 4, p. 2299-2319 21 p.

Research output: Contribution to journalArticle

23 Scopus citations
2010

Fundamentals of Computational Conformal Geometry

Gu, D. X., Luo, F. & Yau, S. T., Dec 1 2010, In : Mathematics in Computer Science. 4, 4, p. 389-429 41 p.

Research output: Contribution to journalArticle

7 Scopus citations

Simple loops on surfaces and their intersection numbers

Luo, F., Jan 1 2010, In : Journal of Differential Geometry. 85, 1, p. 73-115 43 p.

Research output: Contribution to journalArticle

2009

Computing Teichmüller shape space

Jin, M., Zeng, W., Luo, F. & Gu, X., May 1 2009, In : IEEE Transactions on Visualization and Computer Graphics. 15, 3, p. 504-517 14 p., 4624253.

Research output: Contribution to journalArticle

28 Scopus citations

Generalized discrete Ricci flow

Yang, Y. L., Guo, R., Luo, F., Hu, S. M. & Gu, X., Oct 2009, In : Computer Graphics Forum. 28, 7, p. 2005-2014 10 p.

Research output: Contribution to journalArticle

29 Scopus citations

Rigidity of polyhedral surfaces, II

Guo, R. & Luo, F., Dec 1 2009, In : Geometry and Topology. 13, 3, p. 1265-1312 48 p.

Research output: Contribution to journalArticle

21 Scopus citations
2008

3-dimensional Schläfli formula and its generalization

Luo, F., Nov 1 2008, In : Communications in Contemporary Mathematics. 10, SUPPL. 1, p. 835-842 8 p.

Research output: Contribution to journalArticle

6 Scopus citations

Angle structures and normal surfaces

Luo, F. & Tillmann, S., Jun 1 2008, In : Transactions of the American Mathematical Society. 360, 6, p. 2849-2866 18 p.

Research output: Contribution to journalArticle

13 Scopus citations

Comparing corresponding dihedral angles on classical geometric simplices

Au, T. K. K., Luo, F. & Stong, R., Jun 2008, In : Asian Journal of Mathematics. 12, 2, p. 203-212 10 p.

Research output: Contribution to journalArticle

1 Scopus citations

Computing constant-curvature metrics for hyperbolic 3-manifolds with boundaries using truncated tetrahedral meshes

Yin, X., Jin, M., Luo, F. & Gu, X. D., Dec 1 2008, In : International Journal of Shape Modeling. 14, 2, p. 169-188 20 p.

Research output: Contribution to journalArticle

Discrete surface Ricci flow

Jin, M., Kim, J., Luo, F. & Gu, X., Sep 1 2008, In : IEEE Transactions on Visualization and Computer Graphics. 14, 5, p. 1030-1043 14 p., 4483509.

Research output: Contribution to journalArticle

172 Scopus citations

Geodesic ideal triangulations exist virtually

Luo, F., Schleimer, S. & Tillmann, S., Jul 1 2008, In : Proceedings of the American Mathematical Society. 136, 7, p. 2625-2630 6 p.

Research output: Contribution to journalArticle

6 Scopus citations

Manifold splines with a single extraordinary point

Gu, X., He, Y., Jin, M., Luo, F., Qin, H. & Yau, S. T., Jun 1 2008, In : CAD Computer Aided Design. 40, 6, p. 676-690 15 p.

Research output: Contribution to journalArticle

14 Scopus citations

Optimal surface parameterization using inverse curvature map

Yang, Y. L., Kim, J., Luo, F., Hu, S. M. & Gu, X., Sep 1 2008, In : IEEE Transactions on Visualization and Computer Graphics. 14, 5, p. 1054-1066 13 p., 4479457.

Research output: Contribution to journalArticle

39 Scopus citations
2007

Computing general geometric structures on surfaces using Ricci flow

Jin, M., Luo, F. & Gu, X. D., Aug 1 2007, In : CAD Computer Aided Design. 39, 8, p. 663-675 13 p.

Research output: Contribution to journalArticle

13 Scopus citations

On teichmüller spaces of surfaces with boundary

Luo, F., Sep 15 2007, In : Duke Mathematical Journal. 139, 3, p. 463-482 20 p.

Research output: Contribution to journalArticle

13 Scopus citations

Volume and angle structures on 3-manifolds

Luo, F., Dec 2007, In : Asian Journal of Mathematics. 11, 4, p. 555-566 12 p.

Research output: Contribution to journalArticle

6 Scopus citations
2006

A characterization of spherical polyhedral surfaces

Luo, F., Jan 1 2006, In : Journal of Differential Geometry. 74, 3, p. 407-424 18 p.

Research output: Contribution to journalArticle

6 Scopus citations

Continuity of the volume of simplices in classical geometry

Luo, F., Jun 1 2006, In : Communications in Contemporary Mathematics. 8, 3, p. 411-431 21 p.

Research output: Contribution to journalArticle

6 Scopus citations
2005
10 Scopus citations
2004

Combinatorial Yamabe flow on surfaces

Luo, F., Oct 1 2004, In : Communications in Contemporary Mathematics. 6, 5, p. 765-780 16 p.

Research output: Contribution to journalArticle

91 Scopus citations

Dehn-Thurston coordinates for curves on surfaces

Luo, F. & Stong, R., Jan 1 2004, In : Communications in Analysis and Geometry. 12, 1-2, p. 1-41 41 p.

Research output: Contribution to journalArticle

3 Scopus citations