Energy and B-spline interproximation

Geometrical deviations versus smoothness in 5-axis high-speed flank milling

“…The work reported in [24] shows in particular that the energy is the most essential criterion when fitting curves and surfaces to clouds of points. As the tool trajectory is represented as a surface, the evaluation of the smoothness through the energy seems to be relevant.…”

“…As the tool trajectory is represented as a surface, the evaluation of the smoothness through the energy seems to be relevant. For this purpose, the calculation of the energy of deformation as proposed in [24] is adopted in the present work.…”

Local min.-energy, F E based formulation for well-path design

“…There are number of researchers who worked on the principle of minimum energy to fit a curve through set of points [4][5][6][7][8][9][10][11][12]. Early researchers have tried to approximate total energy of curve/surface by equation…”

“…Vassilev [9] used energy technique for fairing curve and surfaces. Result obtained by approximating curvature function (K (t)) does not approximate the curve correctly (see Wang et al [8]). It may be suitable for certain specific requirements.…”

Modifying the shape of NURBS surfaces with geometric constraints

“…The energy of a parametric surface implies its global properties in certain sense, so that it is often used in surface ®tting and fairing for smooth and natural shape [5,18,19]. Here we would like to change control points of NURBS surfaces, such that the thin plate energy of error surface is minimized.…”