## Some applications of discrete $$D^ m$$ splines.(English)Zbl 0676.41012

Mathematical methods in computer aided geometric design, Pap. Int. Conf., Oslo/Norw. 1988, 35-44 (1989).
Summary: [For the entire collection see Zbl 0669.00011.]
Given a suitable finite element space $$V_ h$$, we define $$V_ h$$- discrete smoothing $$D^ 2$$-splines” belonging to $$V_ h$$. Then we give three non-trivial examples of utilization of these splines: 1) construction of surfaces of class $$C^ 1$$ or $$C^ 2$$ from a large number of scattered Lagrange data, 2) approximation of non regular functions (a problem occurring in geophysics), and 3) spline fitting along a curve (an attempt to model the construction of surfaces from iso- valued curves).

### MSC:

 41A15 Spline approximation

### Keywords:

smoothing $$D^ 2$$-splines

Zbl 0669.00011