BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//CS-TR-71-229
       ENTRY:: November 01, 1995
ORGANIZATION:: Stanford University, Department of Computer Science
       TITLE:: Variational study of nonlinear spline curves
        TYPE:: Technical Report
      AUTHOR:: Lee, Erastus H.
      AUTHOR:: Forsythe, George E.
        DATE:: August 1971
       PAGES:: 27
    ABSTRACT:: This is an exposition of the variational and differential
               properties of nonlinear spline curves, based on the
               Euler-Bernoulli theory for the bending of thin beams or
               elastica. For both open and closed splines through prescribed
               nodal points in the euclidean plane, various types of nodal
               constraints are considered, and the corresponding algebraic
               and differential equations relating curvature, angle, arc
               length, and tangential force are derived in a simple manner.
               The results for closed splines are apparently new, and they
               cannot be derived by the consideration of a constrained
               conservative system. There is a survey of the scanty recent
               literature.
       NOTES:: [Adminitrivia V1/Prg/19951101]
         END:: STAN//CS-TR-71-229