Spherical splines and orientation interpolation
type: Item
instance of: scholarly article
title: Spherical splines and orientation interpolation
zbMATH Open document ID: 0819.41012
DOI: 10.1007/BF01900700
author: A. P. Pobegaĭlo
published in: The Visual Computer
publication date: 1995-03-08T00:00:00Z
review text: The author presents design schemes for interpolating spherical curves and interpolating orientation curves which are based on weighted spatial rotations. The resulting curves possess \(C^ 1\) continuity, are invariant under orthogonal transformations of coordinate systems and allow local control.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 732046
zbMATH Keywords: spherical splines
zbMATH Keywords: quaternions
zbMATH Keywords: spherical curve design
reviewed by: E. Quak
MaRDI profile type: Publication
cites work: Q4178157
cites work: On spherical spline interpolation and approximation
cites work: Spherical spline interpolation - basic theory and computational aspects
cites work: \(C^ 1\) surface interpolation for scattered data on a sphere
cites work: Animated rotations using quaternions and splines on a 4D sphere
cites work: Interpolation over a sphere based upon a minimum norm network
cites work: Local interpolation with weight functions for variable-smoothness curve design
description: scientific article; zbMATH DE number 732046