Given an m-dimensional surface in Rn , we characterize parametric curves in , which interpolate or approximate a sequence of given points pi and minimize a given energy functio...
This article introduces a new class of constraints for spline variational modeling, which allows more flexible user specification, as a constrained point can ”slide” along a...
Julien Lenoir, Laurent Grisoni, Philippe Meseure, ...
An active contour model for parametric curve and surface approximation is presented. The active curve or surface adapts to the model shape to be approximated in an optimization al...
Helmut Pottmann, Stefan Leopoldseder, Michael Hofe...
This paper presents a new kind of uniform splines, called hyperbolic polynomial B-splines, generated over the space = span{sinht,cosht,tk-3,tk-4,...,t,1} in which k is an arbitra...
The problem of styling surfaces modeling is tackled. An approach based on section curves fairing is chosen. The concept of template curves is developed for approximating profiles ...