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Splines on manifolds: a survey (Q6592887)

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scientific article; zbMATH DE number 7901446

Language	Label	Description	Also known as
English	Splines on manifolds: a survey	scientific article; zbMATH DE number 7901446

Statements

scholarly article

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Splines on manifolds: a survey (English)

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Claudio Mancinelli

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Computer Aided Geometric Design

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publication date

26 August 2024

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zbMATH Keywords

geodesic splines

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subdivision curves

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manifold setting

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MaRDI profile type

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Differentiable Piecewise-Bézier Surfaces on Riemannian Manifolds

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Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity

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The de casteljau algorithm on SE(3)

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Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation

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Fitting Smooth Paths on Riemannian Manifolds: Endometrial Surface Reconstruction and Preoperative MRI-Based Navigation

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Geometric mean and geodesic regression on Grassmannians

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A second order nonsmooth variational model for restoring manifold-valued images

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On de Casteljau's algorithm

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A Numerical Algorithm for $C^2$-Splines on Symmetric Spaces

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On the geometry of Riemannian cubic polynomials.

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Riemannian cubics close to geodesics at the boundaries

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High-order splines on Riemannian manifolds

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Splines of class C<sup>k</sup> on non-euclidean spaces

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Groupes simples clos et ouverts et géométrie riemannienne.

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The De Casteljau algorithm on Lie groups and spheres

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The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces

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Smoothing nonlinear subdivision schemes by averaging

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A global approach to the refinement of manifold data

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Manifold-valued subdivision schemes based on geodesic inductive averaging

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A General Proximity Analysis of Nonlinear Subdivision Schemes

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How to conjugate C\(^1\)-close group actions

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Group actions and curvature

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De Casteljau's algorithm in geometric data analysis: theory and application

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Variational time discretization of Riemannian splines

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Convergence of subdivision schemes on Riemannian manifolds with nonpositive sectional curvature

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A two-step algorithm of smooth spline generation on Riemannian manifolds

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Riemannian center of mass and mollifier smoothing

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Interpolating solid orientations with circular blending quaternion curves

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A modified Casteljau algorithm to solve interpolation problems on Stiefel manifolds

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A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces

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Weighted inductive means

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Computing the Riemannian center of mass on meshes

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The Discrete Geodesic Problem

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De Casteljau's algorithm on manifolds

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Nonlinear corner-cutting

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Accelerations of Riemannian quadratics

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Cubic Splines on Curved Spaces

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Weighted averages on surfaces

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\(C^{2}\) spherical Bézier splines

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Bézier curves and \(C^{2}\) interpolation in Riemannian manifolds

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A variational approach to spline curves on surfaces

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Bézier and B-spline techniques

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A New Geometric Algorithm to Generate Smooth Interpolating Curves on Riemannian Manifolds

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Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems

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An Introduction to Numerical Analysis

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Existence of set-interpolating and energy-minimizing curves

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Smoothness analysis of subdivision schemes by proximity

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Geometric Subdivision and Multiscale Transforms

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Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity

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Distance function and cut loci on a complete Riemannian manifold

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Efficiently determining a locally exact shortest path on polyhedral surfaces

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CAGD.2024.102349

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Sitelinks

Mathematics(1 entry)

mardi Publication:6592887

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