Add to ORKGWe present a method to compute a fitting curve B to a set of data points d0,...,dm lying on a manifold M. That curve is obtained by blending together Euclidean Bézier curves obtained on different tangent spaces. The method guarantees several properties among which B is C1 and is the natural cubic smoothing spline when M is the Euclidean space. We show examples on the sphere S2 as a proof of concept
Polynomials for blending parametric curves in Lie groups are defined. Properties of these polynomial...
We present C1 methods for either interpolating data or for fitting scattered data associated with a ...
We use a reproducing kernel Hilbert space representation to derive the smoothing spline solution whe...
We propose several methods that address the problem of fitting a $C^1$ curve $\gamma$ to time-labele...
A method is developed for fitting smooth curves through a series of shapes of landmarks in two dimen...
A method is developed for fitting smooth curves through a series of shapes of landmarks in two dimen...
A method is developed for fitting smooth curves through a series of shapes of landmarks in two dimen...
In this paper we formulate a least squares problem on a Riemannian manifold M, in order to generate ...
Given a set of data points lying on a smooth manifold, we present methods to interpolate those with ...
© 2020 The Authors. Journal of the Royal Statistical Society: Series B (Statistical Methodology) pub...
Abstract: In this paper we formulate a least squares problem on a Riemannian manifold M, in order to...
Abstract: This paper presents a new geometric algorithm to construct a C k-smooth spline curve that ...
Abstract—We present an alternative approach to the clas-sical Euclidean least squares method that ca...
AbstractIn a connected Riemannian manifold, generalised Bézier curves are C∞ curves defined by a gen...
Polynomials for blending parametric curves in Lie groups are defined. Properties of these polynomial...
Polynomials for blending parametric curves in Lie groups are defined. Properties of these polynomial...
We present C1 methods for either interpolating data or for fitting scattered data associated with a ...
We use a reproducing kernel Hilbert space representation to derive the smoothing spline solution whe...
We propose several methods that address the problem of fitting a $C^1$ curve $\gamma$ to time-labele...
A method is developed for fitting smooth curves through a series of shapes of landmarks in two dimen...
A method is developed for fitting smooth curves through a series of shapes of landmarks in two dimen...
A method is developed for fitting smooth curves through a series of shapes of landmarks in two dimen...
In this paper we formulate a least squares problem on a Riemannian manifold M, in order to generate ...
Given a set of data points lying on a smooth manifold, we present methods to interpolate those with ...
© 2020 The Authors. Journal of the Royal Statistical Society: Series B (Statistical Methodology) pub...
Abstract: In this paper we formulate a least squares problem on a Riemannian manifold M, in order to...
Abstract: This paper presents a new geometric algorithm to construct a C k-smooth spline curve that ...
Abstract—We present an alternative approach to the clas-sical Euclidean least squares method that ca...
AbstractIn a connected Riemannian manifold, generalised Bézier curves are C∞ curves defined by a gen...
Polynomials for blending parametric curves in Lie groups are defined. Properties of these polynomial...
Polynomials for blending parametric curves in Lie groups are defined. Properties of these polynomial...
We present C1 methods for either interpolating data or for fitting scattered data associated with a ...
We use a reproducing kernel Hilbert space representation to derive the smoothing spline solution whe...