Bibliography for the Conic Fit

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  1. Geometric conic spline approximation in CAGD
    Ahn, YJ
    Communications- Korean Mathematical Society, 2002, vol. 17, no. 2, pp. 331-348    , Ingenta.  
  2. Conic approximation of planar curves
    Ahn, YJ
    Computer Aided Design, 2001, vol. 33, no. ER12, pp. 867-872    , Ingenta.  
  3. An extended conic formulation for geometric optimization
    Glineur, F
    Foundations of Computing and Decision Sciences, 2000, vol. 25, no. 3, pp. 161-174    , Ingenta.  
  4. A Classroom Note on Using the TI-82 Graphing Calculator to Analyze Conics  
    Thomas, John P.
    Mathematics and computer education, 1999, vol. 33, no. 1, pp. 27-31, Ingenta.  
  5. G3 approximation of conic sections by quintic polynomial curves.
    Fang, Lian
    Comput. Aided Geom. Design 16 (1999), no. 8, 755--766, MathSciNet.  
  6. Efficient integer algorithms for the generation of conic sections.
    Agathos, A; Theoharis, T; Boehm, A
    Computers & graphics, 1998, vol. 22, no. 5, pp. 621    , Ingenta.  
  7. An O(h^2) Hermite approximation for conic sections.
    Floater, Michael S.
    Comput. Aided Geom. Design 14 (1997), no. 2, 135--151, MathSciNet.  
  8. Parameter estimation techniques: a tutorial with application to conic fitting.
    Zhang, Z
    Image and vision computing, 1997, vol. 15, no. 1, pp. 59    , Ingenta.  
  9. Smooth curve interpolation with generalized conics.
    Qu, R.
    Comput. Math. Appl. 31 (1996), no. 7, 37--64, MathSciNet.  
  10. Optimal Conic Fitting and Reliability Evaluation.
    Kanazawa, Y; Kanatani, K
    IEICE transactions on information and systems, 1996, vol. 79, no. 9, pp. 1323    , Ingenta.  
  11. The Five Point Conic Section: Exploration with Computer Software  
    Mathews, John H.  
    School Science and Mathematics, vol. 95, n0. 4, pp. 206-208, Apr 1995, ERIC.  
  12. High-order approximation of conic sections by quadratic splines.
    Floater, Michael
    Comput. Aided Geom. Design 12 (1995), no. 6, 617--637, MathSciNet.  
  13. Tangents to Conics, Eccentrically  
    Frederick Gass  
    College Math Journal: Volume 25,(1994),  Number 1, Pages: 43-45.
  14. Newton's Principia and Inverse-Square Orbits  
    Nauenberg, Michael  
    College Math Journal: Volume 25, (1994), Number 3, Pages: 212-222.
  15. Planar curve interpolation by piecewise conics of arbitrary type.
    Schaback, Robert
    Constr. Approx. 9 (1993), no. 4, 373--389, MathSciNet.  
  16. Reflection Properties of Curves and Surfaces  
    Daniel Drucker  
    Mathematics Magazine, Volume 65, (1992), Number 3, Pages: 147-157.
  17. Fitting affine invariant conics to curves.
    Kapur, Deepak; Mundy, Joseph L.
    Geometric invariance in computer vision, 252--266, Artificial Intelligence, MIT Press, Cambridge, MA, 1992, MathSciNet.  
  18. Inequalities for Areas Associated with Conics (in Notes)  
    W. A. Day  
    American Mathematical Monthly, Vol. 98, No. 1. (Jan., 1991), pp. 36-39, Jstor.  
  19. Fourth-dimensional conic sections.
    Douglas, DA
    Journal of undergraduate mathematics, 1991, vol. 23, no. 1, pp. 21    , Ingenta.  
  20. Function Plotting Using Conic Splines.
    Hu, J
    Ieee computer graphics and applications, 1991, vol. 11, no. 1, pp. 89    , Ingenta.  
  21. Moire Fringes and the Conic Sections  
    Mike R. Cullen  
    College Math Journal: Volume 21, (1990), Number 5, Pages: 370-378.
  22. Exploring Conic Sections with a Computer Algebra System  
    Robert Lopez; John Mathews
    Collegiate Microcomputer, Vol. VIII, No. 3, August 1990, pp. 215-219.
  23. Impossibility of a Conic Through Six Points: Problem 90-7 (in Problems)  
    D. C. Handscomb  
    SIAM Review, Vol. 32, No. 2. (Jun., 1990), pp. 300-301, Jstor.  
  24. Hyperbolic Motions of Conics  
    Claudio Martin Mendes, Maria Aparecida Soares Ruas  
    American Mathematical Monthly, Vol. 94, No. 9. (Nov., 1987), pp. 825-845, Jstor.  
  25. Geometrical Procedures for Graphing the General Quadratic Equation  
    Duane DeTemple  
    College Math Journal: Volume 15, (1984), Number 4, Pages: 313 - 323, ERIC.
  26. Statistical Analysis of Arch Shape with Conic Sections  
    Paul D. Sampson  
    Biometrics, Vol. 39, No. 2. (Jun., 1983), pp. 411-423, Jstor.  
  27. Conic Section of Degenerate Form --- A Simple Test  
    Stewert Venit  
    College Math Journal: Volume 11, (1980), Number 5, Pages: 316-319, ERIC.  
  28. Geometrical Properties of the Penosculating Conics of a Plane Curve  
    Steven H. Schot  
    American Mathematical Monthly, Vol. 86, No. 6. (Jun. - Jul., 1979), pp. 449-457, Jstor.
  29. Early Sundials and the Discovery of the Conic Sections  
    Dolan, W.W.
    Mathematics Magazine, 45 (1972) 8-12.
  30. On the Nine Point Conic Associated with a Complete Quadrangle  
    Regan, Francis and Wilke, R.L.
    Mathematics Magazine, 44 (1971) 261-266.
  31. The Optical Property of the Conics (in Classroom Notes)  
    Harley Flanders  
    American Mathematical Monthly, Vol. 75, No. 4. (Apr., 1968), p. 399, Jstor.  
  32. Inversion with Respect to the Central Conics  
    Childress, Noel A.
    Mathematics Magazine, 38 (1965) 147-149.
  33. Conic Sections by Vector Methods  
    Johnson, Arnold  
    Mathematics Magazine, 38 (1965) 262-266.
  34. The 'Reflection Property' of the Conics  
    Coffman, Raphael T and Ogilvy, S. C.
    Mathematics Magazine, 36 (1963) 11-12.
  35. A Study of Conic Section Orbits by Elementary Mathematics  
    Coffman, Raphael T.
    Mathematics Magazine, 36 (1963) 271-280.
  36. The Equation of the Conic (in Classroom Notes)  
    Rose Lariviere, Grace M. Nolan  
    American Mathematical Monthly, Vol. 69, No. 3. (Mar., 1962), pp. 222-223, Jstor.  
  37. Confocal Conics in Space-Time  
    Garrett Birkhoff, Robert Morris  
    American Mathematical Monthly, Vol. 69, No. 1. (Jan., 1962), pp. 1-4, Jstor.  
  38. Use Of Matrices In Teaching Conic Sections  
    Amir-Mo'ez  
    Mathematics Magazine, 33 (1960) 145-156.
  39. Conics on a Sphere (in Classroom Notes)  
    Lyle E. Pursell  
    American Mathematical Monthly, Vol. 67, No. 9. (Nov., 1960), pp. 895-897, Jstor.  
  40. A Note on the Conics (in Classroom Notes)  
    J. Gallego-Diaz  
    American Mathematical Monthly, Vol. 66, No. 3. (Mar., 1959), pp. 225-228, Jstor.  
  41. Transformations of a Conic into Itself  
    Lundberg, G.H.
    Mathematics Magazine, 32 (1958) 5-17.
  42. Foci of the Conics on a Cone  
    Miller, Robert C., Jr.
    Mathematics Magazine, 30 (1957) 193-204.
  43. Reducing the Equation of the General Conic (in Classroom Notes)  
    R. Lariviere  
    American Mathematical Monthly, Vol. 64, No. 7. (Aug. - Sep., 1957), pp. 500-501, Jstor.  
  44. Rapid Sketching of a Conic (in Classroom Notes)  
    Arthur Porges  
    American Mathematical Monthly, Vol. 64, No. 1. (Jan., 1957), pp. 41-42, Jstor.  
  45. On Degenerate Conics (in Classroom Notes)  
    J. W. Lasley, Jr.  
    American Mathematical Monthly, Vol. 64, No. 5. (May, 1957), pp. 362-364, Jstor.  
  46. The Use of Conics in Airplane Design  
    Adams, L.J.
    Mathematics Magazine, 25 (1952) 195-202.
  47. The Osculating Conics of Physical Systems of Curves  
    Kasner, Edward and De Cicco, John  
    Mathematics Magazine, 25 (1952) 117-124.
  48. The Differential Equation of a Conic and its Relation to the Aberrancy  
    A. W. Walker  
    American Mathematical Monthly, Vol. 59, No. 8. (Oct., 1952), pp. 531-538, Jstor.  
  49. A Class of Convex Curves Related to the Conic Sections  
    F. A. Valentine  
    American Mathematical Monthly, Vol. 58, No. 10. (Dec., 1951), pp. 671-674, Jstor.  
  50. Applications of the Eleven Point Conic  
    Kuldip Singh  
    American Mathematical Monthly, Vol. 60, No. 7. (Aug. - Sep., 1953), pp. 468-474, Jstor.  
  51. The osculating conics of physical systems of curves  
    Kasner, Edward; DeCicco, John
    Math. Mag. 25, (1952). 117--124, MathSciNet.  
  52. Simplification of Equations of Conics (in Classroom Notes)  
    M. T. Bird  
    American Mathematical Monthly, Vol. 54, No. 2. (Feb., 1947), pp. 104-106, Jstor.  
  53. The Reduced Equation of the General Conic (in Classroom Notes)  
    A. E. Johns  
    American Mathematical Monthly, Vol. 54, No. 2. (Feb., 1947), pp. 100-104, Jstor.  
  54. Derivation of the Equations of Conics (in Classroom Notes)  
    F. Hawthorne  
    American Mathematical Monthly, Vol. 54, No. 4. (Apr., 1947), pp. 219-220, Jstor.  
  55. Classification of the Conics (in Discussions and Notes)  
    R. C. Yates  
    American Mathematical Monthly, Vol. 50, No. 2. (Feb., 1943), pp. 112-115, Jstor.  
  56. Simplification of Equations of Conics (in Questions, Discussions, and Notes)  
    L. S. Johnston  
    American Mathematical Monthly, Vol. 44, No. 1. (Jan., 1937), pp. 30-31, Jstor.  
  57. On Certain Systems of Conics Satisfying Four Conditions  
    Fettis, Henry E.
    Mathematics Magazine, 10 (1936) 117-126.
  58. Conic Sections from Whose Equations the XY-Term May be Eliminated by a Rotation of Axes Involving no Surd Numbers (in Questions, Discussions, and Notes)  
    D. C. Duncan  
    American Mathematical Monthly, Vol. 41, No. 7. (Aug. - Sep., 1934), pp. 441-442, Jstor.  
  59. Simplification of the Equations of Conics (in Questions, Discussions, and Notes)  
    H. B. Thornton  
    American Mathematical Monthly, Vol. 41, No. 1. (Jan., 1934), pp. 36-37, Jstor.  
  60. Note on Parametric Equations of Certain Degenerate Conics  
    Smith, H.L.
    Mathematics Magazine, 3:6 (1929) 21-22.
  61. The Linear Complex of Conics  
    Earl E. Libman  
    Transactions of the American Mathematical Society, Vol. 27, No. 3. (Jul., 1925), pp. 265-269, Jstor.  
  62. A New Apparatus for Drawing Conic Curves  
    A. F. Dufton  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 97, No. 683. (Apr. 15, 1920), pp. 199-201, Jstor.  
  63. On the Chord of Contact of Tangents to a Conic  
    W. D. Lambert  
    American Mathematical Monthly, Vol. 13, No. 8/9. (Aug. - Sep., 1906), pp. 159-160, Jstor.  
  64. Similar Conics Through Three Points  
    T. J. I'a. Bromwich  
    Transactions of the American Mathematical Society, Vol. 4, No. 4. (Oct., 1903), pp. 489-492, Jstor.  
  65. The Quartic Curve as Related to Conics  
    A. B. Coble  
    Transactions of the American Mathematical Society, Vol. 4, No. 1. (Jan., 1903), pp. 65-85, Jstor.  
  66. Concerning Conics Through Four Points  
    Edgar H. Johnson  
    American Mathematical Monthly, Vol. 4, No. 4. (Apr., 1897), pp. 104-105, Jstor.  
  67. Determination of a Conic From Given Conditions  
    Dr. J. Harrington Boyd  
    The Annals of Mathematics, Vol. 9, No. 1/6. (1894 - 1895), pp. 85-87, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004