Research

Research expertise

 

  • Computer aided design and manufacturing
  • Geometrical algorithms and representations
  • Numerical methods and scientific computing

 

PDF files of various presentations

 

Bernstein polynomial basis

Computer numerical control algorithms

Helical curves and double Pythagorean hodographs

History of mathematics and PH curves

Interpolation with PH curves

Introduction to PH curves

Minkowski geometric algebra of complex sets

Quaternions and spatial rotations

Rational rotation-minimizing frames

Time-optimal control of CNC machines

 

Involvement with various conferences

 

  • SMART 2014 Conference, Pontignano, Siena, ITALY, September 28-October 1, 2014
  • IMACS 2013 World Congress, Real Centro Universitario El Escorial – Maria Cristina, San Lorenzo de El Escorial, SPAIN, August 26-30, 2013
  • International Workshop on Mathematics and Algorithms for Computer-Aided Manufacturing, Engineering, and Numerical Control, Chinese Academy of Sciences, Beijing, CHINA, October 24-26, 2011
  • 10th Panhellenic Geometry Conference, University of Patras, GREECE, May 27-29, 2011
  • New Frontiers in CAGD Conference, Bertinoro, ITALY, May 17-21, 2010
  • Algebraic Geometry and Geometric Modeling Conference, Lijiang, China, July 21-26, 2009
  • Geometric Modeling and Processing 2008 Conference, Hangzhou, China, April 23-25, 2008
  • Asian Symposium on Computer Mathematics, Singapore, December 15-17, 2007
  • Workshop on Computational Methods for Algebraic Spline Surfaces, Strobl, Austria, September 10-14, 2007
  • Zero 2007 Workshop, Korea Institute for Advanced Study, Seoul, Korea, July 19-21, 2007
  • Algebraic Geometry and Geometric Modeling Conference, Universitat de Barcelona, Spain, September 4-7, 2006
  • Australian Mathematical Society 49th Annual Meeting, University of Western Australia, Perth, Australia, September 27-30, 2005
  • 11th IMA Conference on the Mathematics of Surfaces, University of Loughborough, England, September 5-7, 2005
  • Fifth International AFA-SMAI Conference on Curves and Surfaces, Saint-Malo, France, June 27 – July 3, 2002
  • Mathematics and Visualization 2002 Workshop, Berlin, Germany, May 22-25, 2002
  • Surface Approximation and Visualization II, Westport, New Zealand, February 19-22, 2002
  • SIAM Conference on Geometric Design and Computing, Sacramento, CA, Nov. 5-8, 2001
  • EuroConference on CAE Integration – Tools, Trends, and Technologies, Cambridge, England, March 29 – April 1, 2001
  • Geometric Modeling and Processing 2000, Univerity of Hong Kong, China, April 10-12, 2000
  • SIAM Conference on Geometric Design, Albuquerque, NM, Nov. 2-5, 1999
  • Fourth International AFA Conference on Curves and Surfaces, Saint-Malo, France, July 1-7, 1999
  • Workshop on Mathematical Foundations of Computer Aided Design, Mathematical Sciences Research Institute, Berkeley, CA, June 4-5, 1999
  • SIAM Workshop on Integration of CAD and CFD, University of California, Davis, April 12-13, 1999 (report)

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