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- Paolo Costantini
- Computer Aided Geometric Design
- 2000

- Paolo Costantini, Carla Manni
- Computer Aided Geometric Design
- 2003

- Paolo Costantini, Tom Lyche, Carla Manni
- Numerische Mathematik
- 2005

In this paper we study the approximation power, the existence of a normalized B-basis and the structure of a degree-raising process for spaces of the form span < 1, x, . . . , x, u(x), v(x) >, requiring suitable assumptions on the functions u and v. The results about degree raising are detailed for special spaces of this form which have been recently… (More)

- Paolo Costantini, Carla Manni, Francesca Pelosi, Maria Lucia Sampoli
- Computer Aided Geometric Design
- 2010

- Paolo Costantini, Rida T. Farouki, Carla Manni, Alessandra Sestini
- Computer Aided Geometric Design
- 2001

Rational re-parameterizations of a polynomial curve that preserve the curve degree and [0,1] parameter domain are characterized by a single degree of freedom. The “optimal” re-parameterization in this family (that comes closest under the L2 norm to arc-length parameterization) can be identified by solving a quadratic equation, but may exhibit too much… (More)

- Paolo Costantini, Francesca Pelosi
- Adv. Comput. Math.
- 2004

- Paolo Costantini, Carla Manni
- Computer Aided Geometric Design
- 1999

In this paper we present a new local method for constructing a C1 function which interpolates triangulated scattered data sets. This function is made up by polynomial triangular macro-elements of adaptive degree, which are an extension of the Clough–Tocher cubic elements and tend to the interpolating planar triangular interpolant as the degrees tend to… (More)

- Paolo Costantini, Carla Manni
- Computer Aided Geometric Design
- 1996

We propose a local method for the construction of differentiable functions which interpolate a set of gridded data and are monotonicity preserving, that is increasing or decreasing exactly where the data are, The scheme is based upon the boolean sum of cubic interpolating operators, which blend together shape-preserving, one dimensional, interpolating… (More)

- Paolo Costantini, Francesca Pelosi
- Numerical Algorithms
- 2001

This paper describes a new method for the construction of C 2 shape-preserving curves which approximate an ordered set of data in R 3. The curves are obtained using the variable degree polynomial spline spaces recently described in [5].

- Paolo Costantini, Boris I. Kvasov, Carla Manni
- Adv. Comput. Math.
- 1999