Dianne Hansford, Ph. D.
Contact Information:
Tel: 480-703-0263
dianne@farinhansford.com
 

Consulting Services
my books
my
organizations

 
Practical Linear Algebra A Geometry Toolbox, 3rd Edition

Publications

Books

  1. G. Farin and D. Hansford. The Geometry Toolbox for Graphics and Modeling, 288 pages, AK Peters, Natick, Massachusetts, 1998. ISBN: 1-56881-074 www.farinhansford.com/books/geometrytoolbox

  2. G. Farin and D. Hansford. The Essentials of CAGD, 229 pages, AK Peters, Natick, Massachusetts, 2000. ISBN: 1-56881-123 www.farinhansford.com/books/essentials-cagd

  3. G. Farin and D. Hansford. Lineare Algebra: ein geometrischer Zugang, Springer Verlag, Heidelberg, 2003. German translation of The Geometry Toolbox for Graphics and Modeling. ISBN: 3-540-41854-7

  4. G. Farin and D. Hansford. Practical Linear Algebra, A Geometry Toolbox, 2nd Edtion. 384 pages, AK Peters, 2005. ISBN 1-56881-234-5, www.farinhansford.com/books/pla2

  5. G. Farin and D. Hansford, Mathematical Principles for Scientific Computing and Visualization, 280 pages, AK Peters, 2008. ISBN: 978-1-56881-321-9. www.farinhansford.com/books/scv

  6. G. Farin and D. Hansford. Practical Linear Algebra, A Geometry Toolbox, 3rd Edition, 498 pages, CRC Press Taylor & Francis Group An A K Peters Book, 2013. ISBN 978-1-4665-7956-9, www.farinhansford.com/books/pla

  7. G. Farin and D. Hansford. Practical Linear Algebra, A Geometry Toolbox, 3rd Edition, 498 pages, CRC Press Taylor & Francis Group An A K Peters Book, 2013. ISBN 978-7-111-473334-3, Chinese translation

Refereed Articles

  1. G. Farin, D. Hansford, A. Worsey. The singular cases for gamma-spline interpolation, Computer Aided Geometric Design, 7(6), pages 533-546, 1990. pdf

  2. D. Hansford. The neutral case for the min-max triangulation, Computer Aided Geometric Design, 7(5), pages 431-438, 1990. pdf

  3. W. Boehm, D. Hansford. Bézier patches on quadrics, in NURBS for Curve and Surface Design, ed. G. Farin, SIAM, pages 1-14, 1991.

  4. W. Boehm, D. Hansford. Parametric representation of quadric surfaces, Mathematical Modelling and Numerical Analysis, 26(1), pages 191-200, 1991.

  5. D. Hansford, R.E. Barnhill, G. Farin. Curves with quadric boundary precision, Computer Aided Geometric Design, 11(5), pages 519-531, 1994. pdf

  6. G. Farin, D. Hansford. Discrete Coons patches, Computer Aided Geometric Design, 16(7) pages 691-700, 1999. pdf

  7. G. Farin, D. Hansford. A permanence principle for shape control, in Computational Geometry: Lectures at the Morningside Center of Mathematics, ed. Ren-Hong Wang, AMS/IP Studies in Advanced Mathematics, Volume 34, pp. 83-87, ISBN 0-8218-2044-3, 2003.

  8. G. Albrecht, J.P. Bécar, G. Farin, D. Hansford. Détermination de tangentes par l'emploi de coniques d'approximation, Revue Internationale de CFAO et d'informatique graphique, 1(1): 91-103. 2005.

  9. J. Zehnder, J. Rowe, A. Razdan, J. Hu, D. Hansford, Using Digital Cloud Photogrammetry to Characterize the Onset and Transition from Shallow to Deep Convection Over Orography, Monthly Weather Review, volume 134, pp. 2527-2545, September 2006.

  10. D. Hansford, D. Collins, Anamorphic 3D Geometry , Computing, volume 79, Nos. 2-4, pp. 211-223, Springer Wien, April 2007. pdf

  11. G. Albrecht, J.P. Bécar, G. Farin, D. Hansford. On the approximation order of tangent estimators, Computer Aided Geometric Design, volume 25, pp 80-95, 2008. pdf

  12. T. Bobach, G. Farin, D. Hansford, G. Umlauf, Natural neighbor extrapolation using ghost points, CAD, volume 41, issue 4, pp. 350-365, May 2009. pdf

  13. K. Mueller, C. Fuenfzig, D. Hansford, G. Farin, DINUS - Double insertion, non-uniform, stationary subdivision surfaces, ACM Transactions on Graphics, volume 29, number 3, pp. 1-21, 2010. pdf

  14. Xiangjiu Che, G. Farin, Zhanheng Gao, D. Hansford. The product of two B-spline functions, Advanced Materials Research, volume 186, pp. 445-448, 2011.

  15. G. Farin, D. Hansford. Agnostic G1 Gregory surfaces, Graphical Models, volume 74, pp. 346-350, 2012. pdf (See research page for correction to typesetting error.)

Invited Articles and Book Chapters

  1. D. Hansford. Bézier Techniques, in The Handbook of 3D Modeling and Graphics, eds. G. Farin, J. Hoschek, and M.-S. Kim, pp. 75-104, Elsevier, The Netherlands, ISBN 0-444-51104-0, 2001.

  2. D. Hansford, G. Farin. Curve and Surface Constructions, in The Handbook of 3D Modeling and Graphics, eds. G. Farin, J. Hoschek, and M.-S. Kim, pp. 165-188, Elsevier, The Netherlands, ISBN 0-444-51104-0, 2001.

  3. G. Farin, D. Hansford. Shape in Automotive Design, TIES Magazine, The Magazine of Design and Technology in Education. March 2002. www.tiesmagazine.org. pdf

  4. D. Hansford. Review of 3D Computer Graphics A Mathematical Introduction with OpenGL, by Samuel R. Buss, for SIAM Review, vol 46, no 2, 2004.

  5. G. Farin, D. Hansford. A practical approach to teaching linear algebra, TIES Magazine, The Magazine of Design and Technology in Education, pp. 42-44, Fall 2005, www.tiesmagazine.org. pdf

  6. Simon, D. Hansford, A. Razdan, Geometric Modeling, in The SAS Encyclopedia of Archaeological Sciences, edited by Professor Sandra L. Lopez Varela, sponsored by the Society for Archaeological Sciences, Publisher Wiley-Blackwell, to appear 2016

Conference Proceedings

  1. R.E. Barnhill, G. Farin, D. Hansford. Adaptive Surface Triangulations, Computer Aided Geometric Design, eds. P. Kaklis and N. Sapidis, National Technical University of Athens, pages 19-30, 1996.

  2. G. Albrecht, J.P. Bécar, G. Farin, D. Hansford, Une methode d'ordre 2 pour l'estimation de tangentes, Actes des Journees de Modelisation Geometrique, Poitiers, GTMG, 2005.

  3. A. Razdan, J. Schwartz, M. Tocheri, D. Hansford, Digital 3D Facial Reconstruction for George Washington, Proceedings of SPIE 6056, 11 pages, SPIE Electronic Imaging, San Jose, CA, 2006.

  4. Anusha Sridaran, Dianne Hansford, Kanav Kahol, Sethuraman Panchanathan, Surface Interrogation Methods for Haptic Rendering of Virtual Objects, World Haptics Conference, pp. 237-242, Second Joint EuroHaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems (WHC'07), 2007. pdf

  5. T. Bobach, G. Farin, D. Hansford, G. Umlauf, Discrete Harmonic Functions from Local Coordinates, Mathematics of Surfaces XII, Sheffield, UK, September 2007. pdf

  6. K. Mueller, C. Fuenfzig, G. Farin, and D. Hansford, PNG1 Patches for Tangent Continuous Surfaces on the GPU, Graphics Interface, pp. 119-226, 2008. pdf

Theses

  1. D. Hansford. Gamma spline interpolation, M.S. Thesis, Computer Science, Arizona State University, Advisor: R. E. Barnhill, 1989. (Note: Results published in Farin, Hansford, Worsey '89.)

  2. D. Hansford. Boundary curves with quadric precision for a tangent continuous scattered data interpolant, Ph.D. Thesis, Computer Science, Arizona State University, Advisor: R.E. Barnhill, 1991. (Note: Results published in Hansford, Barnhill, Farin '94.)