Work in Progress, Hot off the Press!

  1. On the Efficiency of Strategies for Subdividing Polynomial Triangular Surface Patches. (pdf)
    June 2006. Posted on arXiv as paper cs.CG/0606061

  2. Simple Methods For Drawing Rational Surfaces as Four or Six B'ezier Patches. (pdf)
    June 2006. Posted on arXiv as paper cs.CG/0606055

  3. Fast and Simple Methods for Computing Control Points. (pdf)
    With Weiqing Gu.
    June 2006. Posted on arXiv as paper cs.CC/0606056

  4. A Kinematic Model of the Human Arm Using Triangular B'ezier Spline Surfaces.
    With Deepak Tolani and Norman Badler. (ps)
    Submitted to GMIP. February 2000.

  5. Computing Exponentials of Real Matrices Diagonalizable Over C. (pdf)
    June 2006.

  6. Remarks on the Cayley representation of orthogonal matrices and
    on making matrices invertible by perturbing the diagonal. (ps)   |  (pdf)
    June 2006. Posted on arXiv as paper math.NA/0606320.  

  7. The completeness of propositional resolution: A simple and constructive proof.   (html)   |  (pdf)
    Revised September, 2006. Posted on arXiv as paper cs.LO/0606084.
    LMCS, Vol. 2(5:3), November 2006.

  8. Logarithms and Square Roots of Real Matrices.   (pdf)
    April 2008. Revised March 2010. Posted on arXiv as paper math > arXiv:0805.0245  

  9. Construction of C^{\infty} Surfaces from Triangular Meshes Using Parametric Pseudo-Manifolds.
    With Marcelo Siqueira and Dianna Xu.   (pdf)
    April 2008. Revised May 2009.

  10. Clifford algebras, Clifford groups, and the groups Pin and Spin (notes)   (pdf)
    October 2012. Posted on arXiv as paper math > arXiv:0805.0311

  11. A new construction of smooth surfaces from triangle meshes
    using parametric pseudo-manifolds
    With M. Siqueira, D. Xu, L.G. Nonato, D.M. Morera and L. Velho   (pdf)

  12. Notes on the Schur complement (12/2010)   (pdf)

  13. Notes on RSA (05/2010)   (pdf)

  14. On some quadratic optimization problems arising in computer vision (11/2011)   (pdf)

  15. Parametric Pseudo-Manifolds.
    With M. Siqueira and Dianna Xu (10/2012),
    To appear in Differential Geometry and Applications   (pdf)