Bibliography of Tom Duchamp


  1. Matrix methods in the study of marriage networks, (with P. A. Ballonoff), Geneological Mathematics, ed. P. A. Ballonoff, Mouton, Paris, (1974), 53—62.

  2. Graphs and operators in marriage theory, (with P.A. Ballonoff), Mathematical Foundations of Social Anthropology, by P.A. Ballonoff, Mouton, Paris, (1976), 23—44.

  3. Characteristic invariants of G-foliations, University of Illinois, Thesis, (1976), 1—151.

  4. Holomorphic foliations and the Kobayashi metric, (with M. Kalka), Proc. Amer. Math. Soc., 67 (1977), 117—122.

  5. Deformation theory for holomorphic foliations, (with M. Kalka), J. Diff. Geom., 14 (1979), 317—337.

  6. Stability theorems for holomorphic foliations, (with M. Kalka), Trans. Amer. Math. Soc., 260 (1980), 255—266.

  7. Deformation theory and stability for holomorphic foliations, (with M. Kalka), Springer Lecture Notes in Mathematics, 792 (1980), 235—246.

  8. On the existence of global variational principles, (with I.M. Anderson), Amer. J. Math., 102 (1980), 781—868.

  9. Maximum modulus sets, (with E.L.Stout), Ann. Inst. Fourier, 31 (1981), 37—69.

  10. Variational Principles for Second-Order Quasi-linear Scalar Equations, (with I.M. Anderson), J. Diff. Equations, 51 (1984) 1—47.

  11. Primitive elements in rings of holomorphic functions, (with R.L. Hain), J. Reine Angew. Math., 346 (1984), 199—220.

  12. Holomorphic foliations and deformations of the Hopf foliation, (with
    M. Kalka), Pacific J. of Math., 112 (1984) 69—81.

  13. The classification of Legendre embeddings, (preprint).

  14. A K-theoretic classification of totally real immersions into complex n-space, (preprint).

  15. On the automorphism group of strictly convex domains in C^n (with J. Bland and M. Kalka), Complex Differential Geometry and Non-linear Differential Equations, Y-T. Siu, Ed., Contemporary Mathematics 49 (1986) 19—39.

  16. A characterization of complex n-space by its automorphism group, (with M. Kalka and J. Bland), in ``Complex Analysis'', S.G. Krantz, ed., Springer Lecture Notes No. 1268 (1987), 60—65.

  17. Invariants of Complex Foliations and the Monge-Ampère Equation. (with M. Kalka), Michigan Math. J. 35 (1988), 91—115.

  18. Complex Foliations, (with M. Kalka), in ``Recent Developments in Geometry'', S.-Y. Cheng, H Choi, Robert E. Green editors, Contemporary Mathematics 101 (1989), pp 323—338.

  19. The equivalence problem for complex foliations of complex surfaces, (with M. Kalka), Illinois Math. Journal. 34 (1990), 59—77.

  20. Moduli for pointed convex domains, (with J. Bland), Inventiones Mathematicae, 104 (1991), 61—112.

  21. Normal forms for convex domains, (with J. Bland), Proceedings of Symposia in Pure Mathematics 52 (1991). Part 2, 65—81.

  22. Reconstructing Two-Dimensional Manifolds from Scattered Data: Motivation and Background., T. DeRose, T. Duchamp, Hugues Hoppe, J.A. McDonald, and W. Stuetzle. University of Washington, Dept. of Statistics, Technical Report #215 (1991).

  23. Circular models and normal forms for convex domains, (with J. Bland), Complex Analysis, Proceedings of the International Workshop, Wuppertal, 1990. Aspects of Math., Vieweg (1991), 44—51.

  24. Intersections of totally real and holomorphic disks, (with F. Forstneric). Publicacions Matemàtiques, 37 (1993), 111—126.

  25. The Geometry of Principal Curves in the Plane, (with W. Stuetzle), University of Washington, Department of Statistics Technical Report #250 1993).

  26. Surface Reconstruction from Unorganized Points, by Hugues Hoppe, Tony DeRose, Tom Duchamp, John McDonald and Werner Stuetzle, Computer Graphics (SIGGRAPH '92 Proceedings) 26, No. 2, July 1992, 71—78.

  27. Fitting of Surfaces to Scattered Data by Tony DeRose, Tom Duchamp, Hugues Hoppe, John McDonald and Werner Stuetzle, In proceedings of Curves and Surfaces in Computer Vision and Graphics 3, SPIE Proceedings 1830 (1992), 212—220.

  28. Mesh Optimization, by Hugues Hoppe, Tony DeRose, Tom Duchamp, John McDonald and Werner Stuetzle, Computer Graphics (SIGGRAPH '93 Proceedings) Annual Conference Series, 27, No. 3, August, 1993, 19—26.

  29. Piecewise Smooth Surface Reconstruction, H. Hoppe, T. D. DeRose, T. Duchamp, H. Jin, J. McDonald and W. Stuetzle, Computer Graphics Proceedings, Annual Conference Series, 1994. SIGGRAPH '94 Conference Proceedings, 24—29 July 1994, 295—302.

  30. Contact Geometry and CR-Structures on Spheres, (with J. Bland), Topics in Complex Analysis, Banach Center Publications, Vol 31, Institute of Mathematics, Polish Academy of Sciences, Warsaw, 1995, 99—113.

  31. Multiresolution Analysis of Arbitrary Meshes, Matthias Eck, Tony DeRose, Tom Duchamp, Hugues Hoppe, Michael Lounsbery, and Werner Stuetzle. Computer Graphics (Annual Conference Series, 1995. SIGGRAPH '95), Aug, 1995, 173-182.

  32. Surface reconstruction from misregistered data, H. Jin, T. Duchamp, H. Hoppe, J. McDonald, K. Pulli, and W. Stuetzle. Proceedings of the SPIE, The International Society for Optical Engineering. vol. 2573, 1995; pp. 324—8.

  33. Geometric Properties of Principal Curves in the Plane, (with W. Stuetzle). In "Robust statistics, data analysis, and computer intensive methods: in honor of Peter Huber's 60th birthday", Lecture notes in statistics, Vol. 109 (1996). Helmut Rieder, editor. Springer-Verlag, New York, pp 135-152.

  34. Extremal Properties of Principal Curves in the Plane, (with W. Stuetzle), Annals of Statistics 1996, Vol. 24, No. 4, 1511—1520.

  35. Deformation theory of the hyperplane line bundle on P1, (with J. Bland), in ``CR-Geometry and Overdetermined Systems'', Volume 25 of Advanced Studies in Pure Mathematics, pages 41—59, T. Akahori et al. editors. Math Soc. of Japan, Tokyo, 1997.

  36. Interactive multiresolution surface viewing. Andrew Certain, Jovan Popovic, Tony DeRose, Tom Duchamp, David H. Salesin, Werner Stuetzle, Computer Graphics Annual Conference Series, SIGGRAPH '96, August, 1996, pp 91-98.

  37. Robust Meshes from Multiple Range Maps, K. Pulli, T. Duchamp, H. Hoppe, J. McDonald, L. Shapiro and W. Stuetzle, "Proceedings of International Conference on Recent Advances in 3-D Digital Imaging and Modeling", Ottawa, May 12—15, 1997, pp. 205-211.

  38. View-based Rendering: Visualizing Real Objects from Scanned Range and Color Data, K. Pulli, M. Cohen, T. Duchamp, H. Hoppe, L. Shapiro, W. Stuetzle. Proceedings of the 8th Eurographics Workshop on Rendering, June, 1997.

  39. Vertex-based Delaunay Triangulation of Meshes of Arbitrary Topological Type, A. Klein, A. Certain, A. DeRose, T. Duchamp and W. Stuetzle, preprint, July, 1997.

  40. Hierarchical Computation of PL harmonic Embeddings, T. Duchamp, A. Certain, A. DeRose and W. Stuetzle, preprint, July, 1997.

  41. Surface Modeling and Display from Range and Color Data, K. Pulli, M. Cohen, T. Duchamp, H. Hoppe, J. McDonald, L. Shapiro, and W. Stuetzle. International Conference on Image Analysis and Processing, ICIAP '97, Florence, Italy. Published in Lecture Notes in Computer Science 1310, Springer-Verlag, Berlin, 1997, pp. 385-397.

  42. Acquisition and Visualization of Colored 3D Objects, K. Pulli, H. Abi-Rached, T. Duchamp, L. Shapiro, and W. Stuetzle. Proceedings of the 14th International Conference on Pattern Recognition, Brisbane, Australia, August, 1998, pp 11-15.

  43. Surface Light Fields for 3D Photography, D. Wood, D Azuma, K. Aldinger, B. Curless, T. Duchamp, D.Salesin, and W. Stutezle. Computer Graphics Annual Conference Series, SIGGRAPH '2000, July, 2000, 287-296.

  44. Interactive Elastic Dynamics of Solids Using Wavelets, S. Capell, S. Green, B. Curless, T. Duchamp, Z. Popvic. ACM SIGGRAPH Symposium on Computer Animation, 2002, pp. 41—47.

  45. View dependent level-of-detail for textured meshes of arbitrary topology, D. Azuma, D. Wood, B. Curless, T. Duchamp, D. Salesin, and W. Stutezle, Afrigraph 2003, Capetown South Africa, February, 2003.

  46. Singular Monge-Ampère foliations, T. Duchamp and M. Kalka, Math Ann. 325 (2003), pp 187—209.

  47. Spline Smoothing on Surfaces, T. Duchamp and W. Stuetzle, Journal of Computational and Graphical Statistics) 12 (2003), No. 2, pp 354—381.

  48. Interactive Skeleton-Driven Dynamic Deformations, S. Capell, S. Green, B. Curless, T. Duchamp, Z. Popović, Proceedings of ACM SIGGRAPH 2002, ACM Transactions on Graphics, 21 No. 21, July 2002.

  49. Projective surface matching of colored 3D scans, K. Pulli, S. Piroinen, T. Duchamp, and W. Stuetzle. Proceedings of Fifth International Conference on 3-D Digital Imaging and Modeling, 13-16 June 2005, IEEE Computer Society, pp 531—538.

  50. Physically Based Rigging of Deformable Characters, Steve Capell, Matthew Burkart, Brian Curless, Tom~Duchamp, and Zoran Popović. Eurographics/ACM SIGGRAPH Symposium on Computer Animation (July, 2005), K. Anjyo, P. Faloutsos (Editors), pp 301—310.

  51. Jet subdivision schemes on the k-regular complex, Y. Xue, Thomas P.-Y. Yu, and T. Duchamp. Computer Aided Geometric Design. 23 (2006), pp 361—396.

  52. Physically Based Rigging of Deformable Characters, Steve~Capell, Matthew Burkart, Brian Curless, Tom~Duchamp, and Zoran Popović. Graphical Models, 69 (2007), pp 71—87.

  53. Anisotropic estimates for sub-elliptic operators, J. Bland and T. Duchamp, Science in China Series A: Mathematics, 51, No.4, April 2008, pp 509—522.

  54. The space of Cauchy-Riemann structures on 3-d compact contact manifolds, John Bland and Thomas Duchamp, J. Differential Geometry, 88 (2011), pp 189-230.

  55. Single basepoint subdivision schemes for manifold-valued data: time-symmetry without space-symmetry, Tom Duchamp, Thomas P.Y. Yu, and Gang Xie, Foundations of Computational Mathematics, Vol 13 (2013), pp 693-728.

  56. The group of contact diffeomorphisms for compact contact manifolds, J. Bland and T. Duchamp, Journal of Symplectic Geometry, 12, No. 1 (2014), pp 49—104.

  57. On a new proximity condition for manifold-valued subdivision schemes, Tom Duchamp, Thomas P.Y. Yu, and Gang Xie, Approximation Theory XIV: San Antonio 2013, Springer Proceedings in Mathematics & Statistics, 83 (2014), pp 65—79.

  58. A necessary and sufficient proximity condition for smoothness equivalence of nonlinear subdivision schemes Tom Duchamp, Thomas P.Y. Yu, and Gang Xie, Foundations of Computational Mathematics, 16, No. 5 (2016), pp 1069—1114.

  59. Smoothing nonlinear subdivision schemes by averaging, Tom Duchamp, Thomas P.Y. Yu, and Gang Xie, Numerical Algorithms, 77, No 2, (2018), pp 361—379.