Bibliography for Quasi-Conformal Mapping

unabridged

 

  1. Genus Zero Surface Conformal Mapping and Its Application to Brain Surface Mapping  PDF  
    Xianfeng Gu, Yalin Wang*, Tony F. Chan, Paul M. Thompson, and Shing-Tung Yau
    Ieee Transactions On Medical Imaging, Vol. 23, No. 8, August 2004, pp. 949-958.
  2. Efficient quasi-conformal map for simulation of diffusion at disk microelectrodes
    Oleinick, Alexander; Amatore, Christian; Svir, Irina
    Electrochemistry Communications, v 6, n 6, June, 2004, p 588-594, Compendex.
  3. A Uniformly Quasiconformal Group Not Isomorphic to a Mobius Group
    P. V. Doynikov
    Siberian Mathematical Journal, September 2004, vol. 45, no. 5, pp. 849-854(6), Ingenta.
  4. Adaptive quasiconformal kernel nearest neighbor classification
    Peng, Jing; Heisterkamp, Douglas R.; Dai, H.K.
    IEEE Transactions on Pattern Analysis and Machine Intelligence, v 26, n 5, May, 2004, p 656-661, Compendex.
  5. Simulation of diffusion-convection processes in microfluidic channels equipped with double band microelectrode assemblies: Approach through quasi-conformal mapping
    Amatore, Christian; Oleinick, Alexander; Svir, Irina
    Electrochemistry Communications, v 6, n 11, November, 2004, p 1123-1130, Compendex.
  6. Extremal decompositions of a Riemann surface, and quasi-conformal mappings of a special form. II. (Russian)
    Emel'yanov, E. G.
    Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 286 (2002), Anal. Teor. Chisel i Teor. Funkts. 18, 115--125, 229--230; translation in J. Math. Sci. (N. Y.) 122 (2004), no. 6, 3648--3653, MathSciNet.  
  7. Conformality of a quasi-conformal mapping at a point
    Gutlyanskij, V.Ya.; Martio, O.
    Doklady Akademii Nauk, v 391, n 2, 2003, p 155-158, Compendex.
  8. Quasiconformal Reflection for Generalized Spiral-Shaped Domains
    Patsevich E.L.
    Journal of Mathematical Sciences, July 2002, vol. 110, no. 5, pp. 3005-3012(8), Ingenta.
  9. On Hölder Continuity of Quasiconformal Maps with VMO Dilatation
    Gutlyanskiibreve V.; Martio O.; Vuorinen M.
    Complex Variables, 1 January 2002, vol. 47, no. 6, pp. 495-505(11), Ingenta.
  10. The V1-V2-V3 complex: Quasiconformal dipole maps in primate striate and extra-striate cortex
    Balasubramanian, Mukund; Polimeni, Jonathan; Schwartz, Eric L.
    Neural Networks, v 15, n 10, December, 2002, p 1157-1163, Compendex.
  11. The Hp-norm of a quasiconformal mapping
    Nolder C.A.
    Journal of Mathematical Analysis and Applications, November 2002, vol. 275, no. 2, pp. 557-561(5), Ingenta.
  12. The Calabi invariant for quasiconformal mappings of the unit disk
    Hassinsky P.
    Comptes Rendus Mathematique, 2002, vol. 334, no. 8, pp. 635-638(4), Ingenta.
  13. Moduli of Families of Curves and Quasiconformal Mappings
    Vasil'ev A.
    Journal of Mathematical Sciences, October 2001, vol. 106, no. 6, pp. 3487-3517(31), Ingenta.
  14. On the Distortion Theorem for Quasiconformal Mappings with Fixed Boundary Values
    Xinzhong H.; Cho N.E.
    Journal of Mathematical Analysis and Applications, 15 April 2001, vol. 256, no. 2, pp. 694-697(4), Ingenta.
  15. Adaptive quasiconformal kernel metric for image retrieval
    Heisterkamp, Douglas R.; Peng, Jing; Dai, H.K.
    Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, v 2, 2001, p II388-II393, Compendex.
  16. On the Distortion Theorem for Quasiconformal Mappings with Fixed Boundary Values
    Xinzhong H.; Cho N.E.
    Journal of Mathematical Analysis and Applications, April 2001, vol. 256, no. 2, pp. 694-697(4), Ingenta.
  17. On the calculation of radii connected with some quasi-conformal mappings of multiply-connected domains.
    Mirianashvili, M.; Samsonia, Z.
    Proc. A. Razmadze Math. Inst. 126 (2001), 59--64, MathSciNet.  
  18. The Borel point of quasi-conformal mapping. (Chinese)
    You, Jun Qiao; Su, Feng
    Acta Math. Sci. Ser. A Chin. Ed. 21 (2001), no. 4, 540--548, MathSciNet.  
  19. Extremal decompositions of a Riemann surface, and quasi-conformal mappings of a special form. (Russian)
    Emel'yanov, E. G.
    Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 254 (1998), Anal. Teor. Chisel i Teor. Funkts. 15, 108--115, 246; translation in J. Math. Sci. (New York) 105 (2001), no. 4, 2190--2196, MathSciNet.  
  20. Quasi-Orthogonal Grids with Impedance Matching   
    Ahmed Khamayseh; Glen Hansen  
    SIAM Journal on Scientific Computing, Volume 22, Number 4, (2000), pp. 1220-1237
  21. Quasi-Conformally Flat Mapping the Human Cerebellum in C  
    M. K. Hurdal, P. L. Bowers, K. Stephenson, D. W. L. Sumners, K. Rehm, K. Schaper, D. A. Rottenberg, Taylor and A. Colchester (eds),
    Medical Image Computing and Computer-Assisted Intervention - MICCAI'99, Vol. 1679 of Lecture Notes in Computer Science, Springer, Berlin, pp. 279-286, 1999.
  22. Quasiconformality of harmonic extensions
    Partyka, Dariusz; Sakan, Ken-Ichi
    Journal of Computational and Applied Mathematics, v 105, n 1-2, May, 1999, p 425-436, Compendex.  
  23. On Quasiconformal Harmonic Maps  PDF  
    Luen-Fai Tam and Tom Y.-H. Wan
    Pacific Journal of Mathematics, Vol. 182, No. 2, 1998, pp. 359-383.
  24. An efficient and novel numerical method for quasiconformal mappings of doubly connected domains
    Daripa P.; Mashat D.
    Numerical Algorithms, 1998, vol. 18, no. 2, pp. 159-175(17), Ingenta.
  25. Problem in extremal quasiconformal extensions
    Qi, Yi  
    Science in China Series A Mathematics, Physics, Astronomy, v 41, n 11, Nov, 1998, p 1135-1141, Compendex.
  26. Quasi-conformal mapping theorem and bifurcations.
    Roussarie, Robert
    Bol. Soc. Brasil. Mat. (N.S.) 29 (1998), no. 2, 229--251, MathSciNet.  
  27. Conformal Invariants, Inequalities, and Quasiconformal Maps  
    Glen D. Anderson
    Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts, 1997
  28. Bounds for Quasiconformal Distortion Functions
    Qiu S.L.; Vamanamurthy M.K.; Vuorinen M.
    Journal of Mathematical Analysis and Applications, 1 January 1997, vol. 205, no. 1, pp. 43-64(22), Ingenta.
  29. Quasi-conformal finite-element mesh generation for electron gun simulation
    Khursheed, Anjam; Pei, Yao
    Proceedings of SPIE - The International Society for Optical Engineering, v 2858, 1996, p 13-23, Compendex.
  30. From local to global in quasiconformal structures
    Heinonen, J.; Koskela, P.
    Physical Review B: Condensed Matter, v 53, n 11, 1996, p 554, Compendex.
  31. Some properties of quasiconformal distortion functions.
    Anderson, Glen D.; Vamanamurthy, M. K.
    New Zealand J. Math. 24 (1995), no. 1, 1--15
  32. Modulus and quasiconformal mappings  
    Chu, Yuming
    Hunan Daxue Xuebao/Journal of Hunan University Natural Sciences, v 22, n 3, Jun, 1995, p 1, Compendex.
  33. The Degree of Regularity of a Quasiconformal Mapping  
    Pekka Koskela
    Proceedings of the American Mathematical Society, Vol. 122, No. 3 (Nov., 1994), pp. 769-772, Jstor.
  34. A inf -Condition for the Jacobian of a Quasi-Conformal Mapping  
    Juha Heinonen; Pekka Koskela
    Proceedings of the American Mathematical Society, Vol. 120, No. 2 (Feb., 1994), pp. 535-543, Jstor.
  35. Area distortion of quasiconformal mappings.
    Astala, Kari
    Acta Math. 173 (1994), no. 1, 37--60, MathSciNet.  
  36. Topics in quasiconformal mappings
    Gehring, F.W.
    Lecture Notes in Mathematics, v 1508, 1992, p 20-38, Compendex.
  37. On quasiconformal equivalence on the boundary of the tricorn
    Nakane, S.
    Proceedings of the RIMS Conference on Structure and Bifurcations of Dynamical Systems, 1992, p 154, Compendex.
  38. Induced quantum gravity and quasiconformal mappings
    Schlunzen F.
    Classical and Quantum Gravity, 1991, vol. 8, no. 4, pp. 651-658(8), Ingenta.
  39. Construction of special quasi-conformal mappings by analytic functions.
    Hoy, E.
    Geometric function theory and applications of complex analysis to mechanics: studies in complex analysis and its applications to partial differential equations, 2 (Halle, 1988), 40--48, Pitman Res. Notes Math. Ser., 257, Longman Sci. Tech., Harlow, 1991, MathSciNet.  
  40. New developments in the theory of quasi-conformal mappings.
    Krushkal, S. L.
    Geometric function theory and applications of complex analysis to mechanics: studies in complex analysis and its applications to partial differential equations, 2 (Halle, 1988), 3--26, Pitman Res. Notes Math. Ser., 257, Longman Sci. Tech., Harlow, 1991, MathSciNet.  
  41. The Cauchy integral, chord-arc curves, and quasiconformal mappings.
    Semmes, Stephen W.
    The Bieberbach conjecture (West Lafayette, Ind., 1985), 167--183, Math. Surveys Monogr., 21, Amer. Math. Soc., Providence, RI, 1986, MathSciNet.  
  42. Rectangles and quasiconformal mappings.
    Hinkkanen, Aimo
    Math. Z. 183 (1983), no. 4, 539--545, MathSciNet.  
  43. A Remark on the Maximal Dilatation of a Quasiconformal Mapping  
    Matti Vuorinen
    Proceedings of the American Mathematical Society, Vol. 92, No. 4 (Dec., 1984), pp. 505-508, Jstor.
  44. Quasiconformal Mappings With Prescribed Boundary Values And A Dilatation Bound
    Reich, Edgar
    Archive for Rational Mechanics and Analysis, v 68, n 2, 1978, p 99-112, Compendex.
  45. Analytic families of quasi-conformal mappings.
    Lehto, Olli
    Proceedings of the Sixth Conference on Analytic Functions (Krakow, 1974). Ann. Polon. Math. 33 (1976/77), no. 1--2, 57--62, MathSciNet.  
  46. The dilatation of an extremal quasi-conformal mapping  
    A. Harrington and M. Ortel
    Source: Duke Math. J.  43 (1976), no. 3, 533--544
  47. Rotation of plane quasiconformal mappings--a summary.
    Anderson, G. D.
    Topics in analysis (Colloq. Math. Anal., Jyväskylä, 1970), pp. 1--3. Lecture Notes in Math., Vol. 419, Springer, Berlin, 1974, MathSciNet.  
  48. Rotation of plane quasiconformal mappings.
    Anderson, G. D.; Vamanamurthy, M. K.
    Tôhoku Math. J. (2) 23 (1971), 605--620, MathSciNet.  
  49. On the theory of quasi-conformal mappings of three-dimensional domains.
    Lavrentieff, M. A.
    J. Analyse Math. 19 1967 217--225, MathSciNet.  
  50. On the parametric representation of quasi-conformal mappings.
    Shah, Dao-shing; Fan, Le-le
    Sci. Sinica 11 1962 149--162, MathSciNet.  
  51. Relative distances and quasi-conformal mappings.
    D. A.
    Nagoya Math. J. 16 1960 111--117, MathSciNet.  
  52. On the modulus of quasi-conformal mapping.
    Shah, Dao-shing; Fan, Le-le
    Sci. Record (N.S.) 4 1960 323--328, MathSciNet.  
  53. A New Criterion for Quasiconformal Mapping  
    James A. Jenkins
    The Annals of Mathematics, 2nd Ser., Vol. 65, No. 2 (Mar., 1957), pp. 208-214, Jstor.
  54. Some properties of quasi-conformal mapping. (Japanese)
    Oikawa, Kôtaro
    Sûgaku 9 1957/1958 13--14, MathSciNet.  
  55. On an absolute constant in the theory of quasi-conformal mappings.
    Mori, Akira
    J. Math. Soc. Japan 8 (1956), 156--166, MathSciNet.  
  56. On absolutely continuous functions of two or more variables in the Tonelli sense and quasi-conformal mappings in the A. Mori sense.
    Yûjôbô, Zuiman
    Comment. Math. Univ. St. Paul. 4 (1955), 67--92, MathSciNet.  
  57. Behavior of a quasi-conformal mapping at an isolated singular point. (Russian)
    Belinskii, P. P.
    L'vov. Gos. Univ. Uc. Zap. Ser. Meh.-Mat. 29 (1954), no. 6, 58--70, MathSciNet.  
  58. A Property of Quasi-Conformal Mapping  
    H. L. Royden
    Proceedings of the American Mathematical Society, Vol. 5, No. 2 (Apr., 1954), pp. 266-269, Jstor.
  59. On differentiability of quasi-conformal mappings. (Russian)
    Volkovyskii, L. I.
    L'vov. Gos. Univ. Uc. Zap. Ser. Meh.-Mat. 29 (1954), no. 6, 50--57, MathSciNet.  
  60. The general problem of the theory of quasi conformal mappings of plane regions.
    Lavrent'ev, M.
    Amer. Math. Soc. Translation 1951, (1951). no. 46, 53 pp., MathSciNet.  
  61. A fundamental theorem of the theory of quasi-conformal mapping of plane regions. (Russian)
    Lavrent'ev, M. A.
    Izvestiya Akad. Nauk SSSR. Ser. Mat. 12, (1948). 513--554, MathSciNet.  
  62. On the application of the generalized derivative to a class of quasi-conformal mappings. (Russian)
    Polozii, G. N.
    Doklady Akad. Nauk SSSR (N.S.) 63, (1948). 615--618, MathSciNet.  
  63. The general problem of quasi-conformal mappings of plane regions.
    Lavrentiev, M.
    Rep. [Dopovidi] Acad. Sci. Ukrainian SSR 1946, (1946). no. 3-4, 3--10, MathSciNet.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006