Bibliography for the Conic Fit

unabridged

 

  1. Geometric conic spline approximation in CAGD
    Ahn, Y. J.
    Communications- Korean Mathematical Society, 2002, vol. 17, no. 2, pp. 331-348    , Ingenta.  
  2. Eigenvalue equations in curve theory. I. Characterizations of conic sections. Dedicated to Shiing-Shen Chern on his 90th birthday.
    Schwenk-Schellschmidt, A.; Simon, U.; Wiehe, M.
    Results Math. 40 (2001), no. 1-4, 273--285, MathSciNet.  
  3. Interpolating G2 continuous closed curves with rational conics. (Chinese)
    Cheng, Jin Hui
    J. Zhejiang Univ. Sci. Ed. 28 (2001), no. 2, 227--230, MathSciNet.  
  4. Recovering the Geometry of Single Axis Motions by Conic Fitting
    Jiang, G; Tsui, H; Quan, L; Liu, S
    IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2001, vol. 1, no. , pp. I-293-I-298    , Ingenta.  
  5. On Duality Theory Of Conic Linear Problems
    Shapiro, A
    Nonconvex Optimization and Its Applications, 2001, vol. 57, no. , pp. 135-155    , Ingenta.  
  6. Conic approximation of planar curves
    Ahn, YJ
    Computer Aided Design, 2001, vol. 33, no. ER12, pp. 867-872    , Ingenta.  
  7. Remember Properties of Conic Sections
    Iona, M
    Physics Teacher, 2001, vol. 39, no. 1, pp. 20-23    , Ingenta.  
  8. General equation for taxicab conics and their classification.
    Kaya, Rüstem; Akça, Ziya; Günaltili, Ibrahim; Özcan, Münevver
    Mitt. Math. Ges. Hamburg 19 (2000), 135--148, MathSciNet.  
  9. On Rational Geometry of Conic Sections
    Graziano Gentili, Michael A. O'Connor
    Journal of Symbolic Computation, Vol. 29, No. 3, Mar 2000, pp. 459-470, Ideal.  
  10. Planar Conic based Camera Calibration
    Yang, C; Sun, F; Hu, Z
    International Conference on Pattern Recognition, 2000, vol. 15, no. VOL1, pp. 555-558    , Ingenta.  
  11. An extended conic formulation for geometric optimization
    Glineur, F
    Foundations of Computing and Decision Sciences, 2000, vol. 25, no. 3, pp. 161-174    , Ingenta.  
  12. 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.  
  13. G3 approximation of conic sections by quintic polynomial curves.
    Fang, Lian
    Comput. Aided Geom. Design 16 (1999), no. 8, 755--766, MathSciNet.  
  14. On the Geometries of Conic Section Representation of Noisy Object Boundaries
    Qiuming Zhu  
    Journal of Visual Communication and Image Representation, Vol. 10, No. 2, Jun 1999, pp. 130-154, Ideal.  
  15. A new approach to conic section approximation of object boundaries.
    Zhu, Q; Peng, L
    Image and vision computing, 1999, vol. 17, no. 9, pp. 645    , Ingenta.  
  16. Recovering cylindric and conic surfaces from contours and reflections.
    Caglioti, V; Castelli, E
    Pattern recognition letters, 1999, vol. 20, no. 4, pp. 367    , Ingenta.  
  17. 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.  
  18. An O(h^2) Hermite approximation for conic sections.
    Floater, Michael S.
    Comput. Aided Geom. Design 14 (1997), no. 2, 135--151, MathSciNet.  
  19. Generalized conic curves and their applications in curve approximation.
    Qu, Ruibin
    Approx. Theory Appl. (N.S.) 13 (1997), no. 4, 56--74, MathSciNet.  
  20. Transfinite interpolation of conic triangles using quadric patches.
    Baart, M. L.; Coetzee, M. A.
    Comput. Math. Appl. 34 (1997), no. 9, 75--85, MathSciNet.  
  21. Conic approximation of conic offsets. Parametric algebraic curves and applications (Albuquerque, NM, 1995).
    Farouki, Rida T.
    J. Symbolic Comput. 23 (1997), no. 2-3, 301--313, MathSciNet.  
  22. Conic Approximation of Conic Offsets
    RIDA T. FAROUKI
    Journal of Symbolic Computation, Vol. 23, No. 2/3, Feb 1997, pp. 301-313, Ideal.  
  23. Arch Dams. The Optimum Type of Arch Rings and the Conic Arch Dam.
    Yisheng, L
    Dam engineering, 1997, vol. 8, no. 1, pp. 3    , Ingenta.  
  24. Bridging the Gap Between Algebra and Geometry - Using Graphing Utilities to Teach Conic Sections.
    Duren, PE
    Learning and leading with technology, 1997, vol. 24, no. 5, pp. 34    , Ingenta.  
  25. Parameter estimation techniques: a tutorial with application to conic fitting.
    Zhang, Z
    Image and vision computing, 1997, vol. 15, no. 1, pp. 59    , Ingenta.  
  26. Smooth curve interpolation with generalized conics.
    Qu, R.
    Comput. Math. Appl. 31 (1996), no. 7, 37--64, MathSciNet.  
  27. An analysis of cubic approximation schemes for conic sections.
    Floater, Michael S.
    Adv. Comput. Math. 5 (1996), no. 4, 361--379, MathSciNet.  
  28. Optimal Conic Fitting and Reliability Evaluation.
    Kanazawa, Y; Kanatani, K
    IEICE transactions on information and systems, 1996, vol. 79, no. 9, pp. 1323    , Ingenta.  
  29. 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.  
  30. Interpolation by Conic Model for Unconstrained Optimization.
    Sheng, S.
    Computing 54 (1995), no. 1, 83--98, MathSciNet.  
  31. A New Approach to Robot Location by a Conic Object.
    Lee, JD
    Mathematical and computer modelling, 1995, vol. 22, no. 8, pp. 91    , Ingenta.  
  32. High-order approximation of conic sections by quadratic splines.
    Floater, Michael
    Comput. Aided Geom. Design 12 (1995), no. 6, 617--637, MathSciNet.  
  33. Geometric Algorithms for Detecting and Calculating All Conic Sections in the Intersection of Any 2 Natural Quadric Surfaces
    J.R. Miller, R.N. Goldman
    Graphical Models and Image Processing, Vol. 57, No. 1, Jan 1995, pp. 55-66, Ideal.  
  34. The relations between polarization and circular conic curves. (Chinese)
    Feng, Wan Xia; Zeng, Yan; Yu, Guo Liang
    Natur. Sci. J. Harbin Normal Univ. 11 (1995), no. 3, 25--30, MathSciNet.  
  35. Tangents to Conics, Eccentrically  
    Frederick Gass  
    College Math Journal: Volume 25,(1994),  Number 1, Pages: 43-45.
  36. Newton's Principia and Inverse-Square Orbits  
    Nauenberg, Michael  
    College Math Journal: Volume 25, (1994), Number 3, Pages: 212-222.
  37. On the Difference Method for Drawing Conic Arcs
    W.P. Wang, B. Joe, C.Y. Wang
    CVGIP: Graphical Models and Image Processing, Vol. 56, No. 1, Jan 1994, pp. 8-18, Ideal.  
  38. Trust region methods of conic approximation. (Chinese)
    Liu, Hai Lin
    Hunan Ann. Math. 14 (1994), no. 2, 58--62, MathSciNet.  
  39. Planar curve interpolation by piecewise conics of arbitrary type.
    Schaback, Robert
    Constr. Approx. 9 (1993), no. 4, 373--389, MathSciNet.  
  40. 3D Interpretation of Conics and Orthogonality
    K. Kanatani, W. Liu
    CVGIP: Image Understanding, Vol. 58, No. 3, Nov 1993, pp. 286-301, Ideal.  
  41. 3D Interpretation of Conics and Orthogonality
    Kenichi Kanatani, Wu Liu
    Computer Vision and Image Understanding, Vol. 58, No. 3, Nov 1993, pp. 286-301, Ideal.  
  42. The Contral Conic Sections Revisited.
    Ayoub, AB
    Mathematics magazine, 1993, vol. 66, no. 5, pp. 322    , Ingenta.  
  43. Reflection Properties of Curves and Surfaces  
    Daniel Drucker  
    Mathematics Magazine, Volume 65, (1992), Number 3, Pages: 147-157.
  44. Eight-secant conics for space curves.
    Johnsen, Trygve
    Math. Z. 211 (1992), no. 4, 609--626, MathSciNet.  
  45. 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.  
  46. Seventeenth century instruments for drawing conic sections.
    vanMaanen, J
    The Mathematical gazette, 1992, vol. 76, no. 476, pp. 222    , Ingenta.  
  47. Inequalities for Areas Associated with Conics (in Notes)  
    W. A. Day  
    American Mathematical Monthly, Vol. 98, No. 1. (Jan., 1991), pp. 36-39, Jstor.  
  48. The conic sections revisited
    Foreman, JW
    American journal of physics, 1991, vol. 59, no. 11, pp. 1002    , Ingenta.  
  49. Fourth-dimensional conic sections.
    Douglas, DA
    Journal of undergraduate mathematics, 1991, vol. 23, no. 1, pp. 21    , Ingenta.  
  50. Function Plotting Using Conic Splines.
    Hu, J
    Ieee computer graphics and applications, 1991, vol. 11, no. 1, pp. 89    , Ingenta.  
  51. Moire Fringes and the Conic Sections  
    Mike R. Cullen  
    College Math Journal: Volume 21, (1990), Number 5, Pages: 370-378.
  52. Exploring Conic Sections with a Computer Algebra System  
    Robert Lopez; John Mathews
    Collegiate Microcomputer, Vol. VIII, No. 3, August 1990, pp. 215-219.
  53. 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.  
  54. Finite quadric segments with four conic boundary curves. Curves and surfaces in CAGD '89 (Oberwolfach, 1989).
    Geise, G.; Langbecker, U.
    Comput. Aided Geom. Design 7 (1990), no. 1-4, 141--150, MathSciNet.  
  55. Hyperbolic Motions of Conics  
    Claudio Martin Mendes, Maria Aparecida Soares Ruas  
    American Mathematical Monthly, Vol. 94, No. 9. (Nov., 1987), pp. 825-845, Jstor.  
  56. Geometrical Procedures for Graphing the General Quadratic Equation  
    Duane DeTemple  
    College Math Journal: Volume 15, (1984), Number 4, Pages: 313 - 323, ERIC.
  57. Statistical Analysis of Arch Shape with Conic Sections  
    Paul D. Sampson  
    Biometrics, Vol. 39, No. 2. (Jun., 1983), pp. 411-423, Jstor.  
  58. Conic Section of Degenerate Form --- A Simple Test  
    Stewert Venit  
    College Math Journal: Volume 11, (1980), Number 5, Pages: 316-319, ERIC.  
  59. Conic approximations and collinear scalings for optimizers.
    Davidon, William C.
    SIAM J. Numer. Anal. 17 (1980), no. 2, 268--281, MathSciNet.  
  60. 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.
  61. Early Sundials and the Discovery of the Conic Sections  
    Dolan, W.W.
    Mathematics Magazine, 45 (1972) 8-12.
  62. On the Nine Point Conic Associated with a Complete Quadrangle  
    Regan, Francis and Wilke, R.L.
    Mathematics Magazine, 44 (1971) 261-266.
  63. The Optical Property of the Conics (in Classroom Notes)  
    Harley Flanders  
    American Mathematical Monthly, Vol. 75, No. 4. (Apr., 1968), p. 399, Jstor.  
  64. Inversion with Respect to the Central Conics  
    Childress, Noel A.
    Mathematics Magazine, 38 (1965) 147-149.
  65. Conic Sections by Vector Methods  
    Johnson, Arnold  
    Mathematics Magazine, 38 (1965) 262-266.
  66. The 'Reflection Property' of the Conics  
    Coffman, Raphael T and Ogilvy, S. C.
    Mathematics Magazine, 36 (1963) 11-12.
  67. A Study of Conic Section Orbits by Elementary Mathematics  
    Coffman, Raphael T.
    Mathematics Magazine, 36 (1963) 271-280.
  68. 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.  
  69. Confocal Conics in Space-Time  
    Garrett Birkhoff, Robert Morris  
    American Mathematical Monthly, Vol. 69, No. 1. (Jan., 1962), pp. 1-4, Jstor.  
  70. Use Of Matrices In Teaching Conic Sections  
    Amir-Mo'ez  
    Mathematics Magazine, 33 (1960) 145-156.
  71. Conics on a Sphere (in Classroom Notes)  
    Lyle E. Pursell  
    American Mathematical Monthly, Vol. 67, No. 9. (Nov., 1960), pp. 895-897, Jstor.  
  72. A Note on the Conics (in Classroom Notes)  
    J. Gallego-Diaz  
    American Mathematical Monthly, Vol. 66, No. 3. (Mar., 1959), pp. 225-228, Jstor.  
  73. Transformations of a Conic into Itself  
    Lundberg, G.H.
    Mathematics Magazine, 32 (1958) 5-17.
  74. Foci of the Conics on a Cone  
    Miller, Robert C., Jr.
    Mathematics Magazine, 30 (1957) 193-204.
  75. 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.  
  76. Rapid Sketching of a Conic (in Classroom Notes)  
    Arthur Porges  
    American Mathematical Monthly, Vol. 64, No. 1. (Jan., 1957), pp. 41-42, Jstor.  
  77. On Degenerate Conics (in Classroom Notes)  
    J. W. Lasley, Jr.  
    American Mathematical Monthly, Vol. 64, No. 5. (May, 1957), pp. 362-364, Jstor.  
  78. The Use of Conics in Airplane Design  
    Adams, L.J.
    Mathematics Magazine, 25 (1952) 195-202.
  79. The Osculating Conics of Physical Systems of Curves  
    Kasner, Edward and De Cicco, John  
    Mathematics Magazine, 25 (1952) 117-124.
  80. 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.  
  81. 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.  
  82. Applications of the Eleven Point Conic  
    Kuldip Singh  
    American Mathematical Monthly, Vol. 60, No. 7. (Aug. - Sep., 1953), pp. 468-474, Jstor.  
  83. The osculating conics of physical systems of curves  
    Kasner, Edward; DeCicco, John
    Math. Mag. 25, (1952). 117--124, MathSciNet.  
  84. Simplification of Equations of Conics (in Classroom Notes)  
    M. T. Bird  
    American Mathematical Monthly, Vol. 54, No. 2. (Feb., 1947), pp. 104-106, Jstor.  
  85. 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.  
  86. Derivation of the Equations of Conics (in Classroom Notes)  
    F. Hawthorne  
    American Mathematical Monthly, Vol. 54, No. 4. (Apr., 1947), pp. 219-220, Jstor.  
  87. Classification of the Conics (in Discussions and Notes)  
    R. C. Yates  
    American Mathematical Monthly, Vol. 50, No. 2. (Feb., 1943), pp. 112-115, Jstor.  
  88. 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.  
  89. On Certain Systems of Conics Satisfying Four Conditions  
    Fettis, Henry E.
    Mathematics Magazine, 10 (1936) 117-126.
  90. 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.  
  91. 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.  
  92. Note on Parametric Equations of Certain Degenerate Conics  
    Smith, H.L.
    Mathematics Magazine, 3:6 (1929) 21-22.
  93. The Linear Complex of Conics  
    Earl E. Libman  
    Transactions of the American Mathematical Society, Vol. 27, No. 3. (Jul., 1925), pp. 265-269, Jstor.  
  94. 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.  
  95. 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.  
  96. 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.  
  97. 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.  
  98. Concerning Conics Through Four Points  
    Edgar H. Johnson  
    American Mathematical Monthly, Vol. 4, No. 4. (Apr., 1897), pp. 104-105, Jstor.  
  99. 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