Approximation of Discontinuous Curves and Surfaces by Discrete Splines with Tangent Conditions
نویسندگان
چکیده
This paper concerns the construction of a discontinuous parametric curve or surface from a finite set of points and tangent conditions. The method is adapted from the theory of the discrete smoothing variational splines to introduce a discontinuity set and some tangent conditions. Such method is justified by a convergence result.
منابع مشابه
Approximation of curves by fairness splines with tangent conditions
We present in this paper an approximation method of curves from sets of Lagrangian data and vectorial tangent subspaces. We de1ne a discrete smoothing fairness spline with tangent conditions by minimizing certain quadratic functional on 1nite element spaces. Convergence theorem is established and some numerical and graphical examples are analyzed in order to show the validity and the e4ectivene...
متن کاملSmooth, Easy to Computer Interpolating Splines
We present a system of interpolating splines with first and approximate second order geometric continuity. The curves are easily computed in linear time by solving a system of linear equations without the need to resort to any kind of successive approximation scheme. Emphasis is placed on the need to find aesthetically pleasing curves in a wide range of circumstances; favorable results are obta...
متن کاملA High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients
This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditio...
متن کاملApproximation of digitized curves with cubic Bézier splines
In this paper we examine a problem of digitized curves approximation for raster graphics vectorization and develop an efficient implementation of a near-optimal Dynamic Programming algorithm for digitized curves approximation with cubic Bézier splines for a given distortion bound. For better fitting performance, we introduce the inflection points with relaxed constraint of tangent continuity. T...
متن کاملMarching Surfaces: Isosurface Approximation using G1 Multi-Sided Surfaces
Marching surfaces is a method for isosurface extraction and approximation based on a G multisided patch interpolation scheme. Given a 3D grid of scalar values, an underlying curve network is formed using second order information and cubic Hermite splines. Circular arc fitting defines the tangent vectors for the Hermite curves at specified isovalues. Once the boundary curve network is formed, a ...
متن کامل