A Constant Space Representation of Digital Cubic Parabolas
About the geometry of milling paths.
Ajustement spline le long d'un ensemble de courbes
All Bézier curves are attractors of iterated function systems.
Almost curvature continuous fitting of B-spline surfaces.
An algorithm based on rolling to generate smooth interpolating curves on ellipsoids
We present an algorithm to generate a smooth curve interpolating a set of data on an -dimensional ellipsoid, which is given in closed form. This is inspired by an algorithm based on a rolling and wrapping technique, described in [11] for data on a general manifold embedded in Euclidean space. Since the ellipsoid can be embedded in an Euclidean space, this algorithm can be implemented, at least theoretically. However, one of the basic steps of that algorithm consists in rolling the ellipsoid, over...
An example related to Whitney extension with almost minimal norm.
An iterative Clough-Tocher interpolant
Analogies from 2D to 3D Exercises in Disciplined Creativity
Approximation and/or construction of curves by minimization methods with or without constraints
Approximation de contours convexes par des splines paramétrées périodiques convexes , quadratiques ou cubiques
Approximation in the space of planes: applications to geometric modeling and reverse engineering.
Se estudia la aproximación en el espacio de planos. Se introduce una medida de la distancia en este espacio, con la que pueden resolverse problemas de modelado con superficies desarrollables mediante algoritmos de aproximación de curvas. Además, el reconocimiento y reconstrucción de caras planas en nubes de puntos aparecen como un problema "clustering" en el espacio de planos. La aplicabilidad práctica de estos resultados se muestra en varios ejemplos.
Approximation of discontinuous curves and surfaces by discrete splines with tangent conditions.
Approximation spline de surfaces de type explicite comportant des failles