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2013

2013

This paper proposes a generalization of the ordinary de Casteljau algorithm to manifold-valued data including an important… Expand

2003

2003

Ruled surface design and its applications are widely used in CAGD (computer aided geometric design) and industrial areas. The… Expand

Highly Cited

2002

Highly Cited

2002

We define a toric surface patch associated with a convex polygon, which has vertices with integer coordinates. This rational… Expand

Highly Cited

2000

Highly Cited

2000

Abstract The aim of this paper is to describe applications of variable degree polynomials in the area of curve and surface… Expand

Highly Cited

1999

Highly Cited

1999

Within the last 20 years de Casteljau's algorithms became a fundamental tool in CAGD. His idea of control points and his… Expand

Highly Cited

1999

Highly Cited

1999

AbstractWe examine the De Casteljau algorithm in the context of Riemannian symmetric spaces. This algorithm, whose classical form… Expand

1995

1995

One of the most important recursive schemes in CAGD is De Casteljau's algorithm for the evaluation of Bezier curves and surfaces… Expand

Highly Cited

1994

Highly Cited

1994

This paper briefly presents an efficient and intuitive 3D free-form deformation approach based on iterative affine… Expand

1993

1993

The algorithm described in this chapter is probably the most fundamental one in the field of curve and surface design, yet it is… Expand

1992

1992

An integer version of the well‐known de Casteljau algorithm of NURBS curves is presented here. The algorithm is used to render… Expand