Bert Jüttler

Orcid: 0000-0002-5518-7795

Affiliations:
  • Johannes Kepler University Linz, Austria


According to our database1, Bert Jüttler authored at least 189 papers between 1992 and 2024.

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Bibliography

2024
Using low-rank approximations of gridded data for spline surface fitting.
J. Comput. Appl. Math., March, 2024

2023
Apollonian de Casteljau-type algorithms for complex rational Bézier curves.
Comput. Aided Geom. Des., December, 2023

Adaptive and local regularization for data fitting by tensor-product spline surfaces.
Adv. Comput. Math., August, 2023

Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes.
Comput. Aided Geom. Des., June, 2023

2022
LSPIA, (stochastic) gradient descent, and parameter correction.
J. Comput. Appl. Math., 2022

An unrefinement algorithm for planar THB-spline parameterizations.
Comput. Aided Geom. Des., 2022

Fast Formation of Matrices for Least-Squares Fitting by Tensor-Product Spline Surfaces.
Comput. Aided Des., 2022

2021
Using High-Order Transport Theorems for Implicitly Defined Moving Curves to Perform Quadrature on Planar Domains.
SIAM J. Numer. Anal., 2021

Efficient matrix assembly in isogeometric analysis with hierarchical B-splines.
J. Comput. Appl. Math., 2021

Representing planar domains by polar parameterizations with parabolic parameter lines.
Comput. Aided Geom. Des., 2021

Parameterization for polynomial curve approximation via residual deep neural networks.
Comput. Aided Geom. Des., 2021

27 variants of Tutte's theorem for plane near-triangulations and an application to periodic spline surface fitting.
Comput. Aided Geom. Des., 2021

IGA Using Offset-based Overlapping Domain Parameterizations.
Comput. Aided Des., 2021

2020
Bivariate Hermite interpolation by a limiting case of the cross approximation algorithm.
J. Comput. Appl. Math., 2020

On the error in transfinite interpolation by low-rank functions.
J. Approx. Theory, 2020

Mitered Offsets and Skeletons for Circular Arc Polygons.
Int. J. Comput. Geom. Appl., 2020

Completeness characterization of Type-I box splines.
CoRR, 2020

Projective isomorphisms between rational surfaces.
CoRR, 2020

Local (T)HB-spline projectors via restricted hierarchical spline fitting.
Comput. Aided Geom. Des., 2020

2019
Projective and affine symmetries and equivalences of rational and polynomial surfaces.
J. Comput. Appl. Math., 2019

THB-splines multi-patch parameterization for multiply-connected planar domains via Template Segmentation.
J. Comput. Appl. Math., 2019

Corrigendum to "Bases and dimensions of <i>C</i><sup>1</sup>-smooth isogeometric splines on volumetric two-patch domains" [Graphical Models, 99 (2018), 46-56].
Graph. Model., 2019

Arc fibrations of planar domains.
Comput. Aided Geom. Des., 2019

Isogeometric Segmentation via Midpoint Subdivision Suitable Solids.
Comput. Aided Des., 2019

2018
Projective and affine symmetries and equivalences of rational curves in arbitrary dimension.
J. Symb. Comput., 2018

Bases and dimensions of <i>C</i><sup>1</sup>-smooth isogeometric splines on volumetric two-patch domains.
Graph. Model., 2018

Spline surface fitting using normal data and norm-like functions.
Comput. Aided Geom. Des., 2018

2017
Coupling adaptively refined multi-patch spline discretizations via boundary compatibility.
Comput. Math. Appl., 2017

Low rank interpolation of boundary spline curves.
Comput. Aided Geom. Des., 2017

Automatic decomposition of 3D solids into contractible pieces using Reeb graphs.
Comput. Aided Des., 2017

Isogeometric design and analysis.
Comput. Aided Des., 2017

Isogeometric segmentation: Construction of cutting surfaces.
Comput. Aided Des., 2017

Patchwork B-spline refinement.
Comput. Aided Des., 2017

Planar multi-patch domain parameterization via patch adjacency graphs.
Comput. Aided Des., 2017

Voronoi Diagrams for Parallel Halflines and Line Segments in Space.
Proceedings of the 28th International Symposium on Algorithms and Computation, 2017

2016
On the linear independence of truncated hierarchical generating systems.
J. Comput. Appl. Math., 2016

Characterization of bivariate hierarchical quartic box splines on a three-directional grid.
Comput. Aided Geom. Des., 2016

Completeness of generating systems for quadratic splines on adaptively refined criss-cross triangulations.
Comput. Aided Geom. Des., 2016

New Developments in Geometry - Theory and Applications.
Comput. Aided Geom. Des., 2016

Isogeometric segmentation: Construction of auxiliary curves.
Comput. Aided Des., 2016

Adaptively refined multi-patch B-splines with enhanced smoothness.
Appl. Math. Comput., 2016

Reparameterization and Adaptive Quadrature for the Isogeometric Discontinuous Galerkin Method.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2016

Partially Nested Hierarchical Refinement of Bivariate Tensor-Product Splines with Highest Order Smoothness.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2016

2015
Triangulations with Circular Arcs.
J. Graph Algorithms Appl., 2015

On de Casteljau-type algorithms for rational Bézier curves.
J. Comput. Appl. Math., 2015

On triangulation axes of polygons.
Inf. Process. Lett., 2015

Isogeometric analysis with geometrically continuous functions on two-patch geometries.
Comput. Math. Appl., 2015

Layered Reeb graphs for three-dimensional manifolds in boundary representation.
Comput. Graph., 2015

Planar domain parameterization with THB-splines.
Comput. Aided Geom. Des., 2015

A hierarchical construction of LR meshes in 2D.
Comput. Aided Geom. Des., 2015

2014
Spectral Quadrangulation with Feature Curve Alignment and Element Size Control.
ACM Trans. Graph., 2014

On the Parameterization of Rational Ringed Surfaces and Rational Canal Surfaces.
Math. Comput. Sci., 2014

On the completeness of hierarchical tensor-product B-splines.
J. Comput. Appl. Math., 2014

Computing a compact spline representation of the medial axis transform of a 2D shape.
Graph. Model., 2014

Isogeometric segmentation. Part II: On the segmentability of contractible solids with non-convex edges.
Graph. Model., 2014

Adaptive CAD model (re-)construction with THB-splines.
Graph. Model., 2014

Total curvature variation fairing for medial axis regularization.
Graph. Model., 2014

Adaptively refined multilevel spline spaces from generating systems.
Comput. Aided Geom. Des., 2014

Derivatives of isogeometric functions on n-dimensional rational patches in R<sup>d</sup>.
Comput. Aided Geom. Des., 2014

TDHB-splines: The truncated decoupled basis of hierarchical tensor-product splines.
Comput. Aided Geom. Des., 2014

Isogeometric segmentation: The case of contractible solids without non-convex edges.
Comput. Aided Des., 2014

Strongly stable bases for adaptively refined multilevel spline spaces.
Adv. Comput. Math., 2014

Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation.
Proceedings of the Curves and Surfaces, 2014

Einführung in die angewandte Geometrie.
Mathematik Kompakt, Birkhäuser, ISBN: 978-3-0346-0143-6, 2014

2013
Hermite interpolation by rational G<sup>K</sup> motions of low degree.
J. Comput. Appl. Math., 2013

Bases and dimensions of bivariate hierarchical tensor-product splines.
J. Comput. Appl. Math., 2013

Spline Approximation to Medial Axis.
CoRR, 2013

Recent advances in applied geometry.
Comput. Aided Geom. Des., 2013

Voronoi Diagrams from (Possibly Discontinuous) Embeddings.
Proceedings of the 10th International Symposium on Voronoi Diagrams in Science and Engineering, 2013

2012
Real Root Approximation Using Fat Spheres.
Reliab. Comput., 2012

On Computing the Convex Hull of (Piecewise) Curved Objects.
Math. Comput. Sci., 2012

H<sup>2</sup> regularity properties of singular parameterizations in isogeometric analysis.
Graph. Model., 2012

Medial design of blades for hydroelectric turbines and ship propellers.
Comput. Graph., 2012

Isogeometric simulation of turbine blades for aircraft engines.
Comput. Aided Geom. Des., 2012

THB-splines: The truncated basis for hierarchical splines.
Comput. Aided Geom. Des., 2012

Curves and surfaces with rational chord length parameterization.
Comput. Aided Geom. Des., 2012

Exploring Matrix Generation Strategies in Isogeometric Analysis.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2012

Algorithms and Data Structures for Truncated Hierarchical B-splines.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2012

Decomposing Envelopes of Rational Hypersurfaces.
Proceedings of the Latest Advances in Robot Kinematics, 2012

Fast Approximate Implicitization of Envelope Curves Using Chebyshev Polynomials.
Proceedings of the Latest Advances in Robot Kinematics, 2012

2011
A Quadratic Clipping Step with Superquadratic Convergence for Bivariate Polynomial Systems.
Math. Comput. Sci., 2011

Computational and Structural Advantages of Circular Boundary Representation.
Int. J. Comput. Geom. Appl., 2011

Spherical quadratic Bézier triangles with chord length parameterization and tripolar coordinates in space.
Comput. Aided Geom. Des., 2011

Horizontal decomposition of triangulated solids for the simulation of dip-coating processes.
Comput. Aided Des., 2011

Triangular bubble spline surfaces.
Comput. Aided Des., 2011

Blends of canal surfaces from polyhedral medial transform representations.
Comput. Aided Des., 2011

Envelope computation in the plane by approximate implicitization.
Appl. Algebra Eng. Commun. Comput., 2011

2010
An Evolution-Based Approach for Approximate Parameterization of Implicitly Defined Curves by Polynomial Parametric Spline Curves.
Math. Comput. Sci., 2010

Divide-and-conquer for Voronoi diagrams revisited.
Comput. Geom., 2010

Advances in Applied Geometry.
Comput. Aided Geom. Des., 2010

Preface - Geometric modeling and processing.
Comput. Aided Des., 2010

Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets.
Comput. Aided Des., 2010

Hierarchical Spline Approximation of the Signed Distance Function.
Proceedings of the SMI 2010, 2010

Industrial application of exact Boolean operations for meshes.
Proceedings of the Spring Conference on Computer Graphics, 2010

Surfaces with Rational Chord Length Parameterization.
Proceedings of the Advances in Geometric Modeling and Processing, 2010

Parameterization of Contractible Domains Using Sequences of Harmonic Maps.
Proceedings of the Curves and Surfaces, 2010

Volumetric Geometry Reconstruction of Turbine Blades for Aircraft Engines.
Proceedings of the Curves and Surfaces, 2010

Approximating Algebraic Space Curves by Circular Arcs.
Proceedings of the Curves and Surfaces, 2010

Exact Medial Axis Computation for Triangulated Solids with Respect to Piecewise Linear Metrics.
Proceedings of the Curves and Surfaces, 2010

2009
Robust fitting of implicitly defined surfaces using Gauss-Newton-type techniques.
Vis. Comput., 2009

Parameterizing surfaces with certain special support functions, including offsets of quadrics and rationally supported surfaces.
J. Symb. Comput., 2009

Shape Metrics Based on Elastic Deformations.
J. Math. Imaging Vis., 2009

Circular spline fitting using an evolution process.
J. Comput. Appl. Math., 2009

A multiresolution analysis for tensor-product splines using weighted spline wavelets.
J. Comput. Appl. Math., 2009

Distance regression by Gauss-Newton-type methods and iteratively re-weighted least-squares.
Computing, 2009

Modeling and 3D object reconstruction by implicitly defined surfaces with sharp features.
Comput. Graph., 2009

Geometric Modeling and Processing.
Comput. Aided Geom. Des., 2009

Medial axis computation for planar free-form shapes.
Comput. Aided Des., 2009

<i>C</i> <sup>1</sup> Hermite interpolation by Pythagorean hodograph quintics in Minkowski space.
Adv. Comput. Math., 2009

Piecewise Rational Manifold Surfaces with Sharp Features.
Proceedings of the Mathematics of Surfaces XIII, 2009

Swept Volume Parameterization for Isogeometric Analysis.
Proceedings of the Mathematics of Surfaces XIII, 2009

Computing Isophotes on Free-Form Surfaces Based on Support Function Approximation.
Proceedings of the Mathematics of Surfaces XIII, 2009

Oriented bounding surfaces with at most six common normals.
Proceedings of the 2009 IEEE International Conference on Robotics and Automation, 2009

2008
Evolution of T-spline level sets for meshing non-uniformly sampled and incomplete data.
Vis. Comput., 2008

Computation of rotation minimizing frames.
ACM Trans. Graph., 2008

Curves and surfaces represented by polynomial support functions.
Theor. Comput. Sci., 2008

A construction of rational manifold surfaces of arbitrary topology and smoothness from triangular meshes.
Comput. Aided Geom. Des., 2008

Classical Techniques for Applied Geometry.
Comput. Aided Geom. Des., 2008

On rationally supported surfaces.
Comput. Aided Geom. Des., 2008

Pythagorean-hodograph curves and related topics.
Comput. Aided Geom. Des., 2008

Dual evolution of planar parametric spline curves and T-spline level sets.
Comput. Aided Des., 2008

Computing exact rational offsets of quadratic triangular Bézier surface patches.
Comput. Aided Des., 2008

Gauss-Newton-type techniques for robustly fitting implicitly defined curves and surfaces to unorganized data points.
Proceedings of the 2008 International Conference on Shape Modeling and Applications (SMI 2008), 2008

Fat Arcs for Implicitly Defined Curves.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2008

Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2008

2007
3D shape metamorphosis based on T-spline level sets.
Vis. Comput., 2007

C<sup>2</sup> Hermite interpolation by Pythagorean Hodograph space curves.
Math. Comput., 2007

Rounding Spatial G-Code Tool Paths Using Pythagorean Hodograph Curves.
J. Comput. Inf. Sci. Eng., 2007

Variational and PDE level set methods.
Computing, 2007

Hybrid curve fitting.
Computing, 2007

Computing roots of polynomials by quadratic clipping.
Comput. Aided Geom. Des., 2007

Evolution-based least-squares fitting using Pythagorean hodograph spline curves.
Comput. Aided Geom. Des., 2007

A non-linear circle-preserving subdivision scheme.
Adv. Comput. Math., 2007

Approximate implicitization of planar curves by piecewise rational approximation of the distance function.
Appl. Algebra Eng. Commun. Comput., 2007

A predictor-corrector-type technique for the approximate parameterization of intersection curves.
Appl. Algebra Eng. Commun. Comput., 2007

Meshing Non-uniformly Sampled and Incomplete Data Based on Displaced T-spline Level Sets.
Proceedings of the 2007 International Conference on Shape Modeling and Applications (SMI 2007), 2007

MOS Surfaces: Medial Surface Transforms with Rational Domain Boundaries.
Proceedings of the Mathematics of Surfaces XII, 2007

Surfaces with Piecewise Linear Support Functions over Spherical Triangulations.
Proceedings of the Mathematics of Surfaces XII, 2007

2006
Local parametrization of cubic surfaces.
J. Symb. Comput., 2006

Special issue on SPM 05.
Graph. Model., 2006

Rational surfaces with linear normals and their convolutions with rational surfaces.
Comput. Aided Geom. Des., 2006

<i>G</i><sup>1</sup> Hermite interpolation by Minkowski Pythagorean hodograph cubics.
Comput. Aided Geom. Des., 2006

On the existence of biharmonic tensor-product Bézier surface patches.
Comput. Aided Geom. Des., 2006

Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics.
Comput. Aided Des., 2006

Evolution of T-Spline Level Sets with Distance Field Constraints for Geometry Reconstruction and Image Segmentation.
Proceedings of the 2006 International Conference on Shape Modeling and Applications (SMI 2006), 2006

Approximate <i>µ</i>-Bases of Rational Curves and Surfaces.
Proceedings of the Geometric Modeling and Processing, 2006

Least-Squares Approximation by Pythagorean Hodograph Spline Curves Via an Evolution Process.
Proceedings of the Geometric Modeling and Processing, 2006

Piecewise approximate implicitization: experiments using industrial data.
Proceedings of the Algebraic Geometry and Geometric Modeling, 2006

Implicitization and Distance Bounds.
Proceedings of the Algebraic Geometry and Geometric Modeling, 2006

2005
Sweep-based human deformation.
Vis. Comput., 2005

Euclidean and Minkowski Pythagorean hodograph curves over planar cubics.
Comput. Aided Geom. Des., 2005

Approximate algebraic methods for curves and surfaces and their applications.
Proceedings of the Spring Conference on Computer Graphics, 2005

Approximate Rational Parameterization of Implicitly Defined Surfaces.
Proceedings of the Mathematics of Surfaces XI, 2005

Spatial Pythagorean Hodograph Quintics and the Approximation of Pipe Surfaces.
Proceedings of the Mathematics of Surfaces XI, 2005

Computational methods for algebraic spline surfaces - ESF exploratory workshop.
Springer, ISBN: 978-3-540-23274-2, 2005

2004
Fairness Criteria for Algebraic Curves.
Computing, 2004

Generating tool paths on surfaces for a numerically controlled calotte cutting system.
Comput. Aided Des., 2004

Approximate parameterization by planar rational curves.
Proceedings of the 20th Spring Conference on Computer Graphics, 2004

Analyzing and Enhancing the Robustness of Implicit Representations.
Proceedings of the 2004 Geometric Modeling and Processing (GMP 2004), 2004

2003
<i>C</i><sup>1</sup> spline implicitization of planar curves.
SIGSAM Bull., 2003

The shape of spherical quartics.
Comput. Aided Geom. Des., 2003

Approximate implicitization via curve fitting.
Proceedings of the First Eurographics Symposium on Geometry Processing, 2003

Modeling and Deformation of Arms and Legs Based on Ellipsoidal Sweeping.
Proceedings of the 11th Pacific Conference on Computer Graphics and Applications, 2003

Using Line Congruences for Parameterizing Special Algebraic Surfaces.
Proceedings of the Mathematics of Surfaces, 2003

Filling Holes in Point Clouds.
Proceedings of the Mathematics of Surfaces, 2003

2002
Analysis and design of Hermite subdivision schemes.
Vis. Comput., 2002

Minimizing the Distortion of Affine Spline Motions.
Graph. Model., 2002

Least-Squares Fitting of Algebraic Spline Surfaces.
Adv. Comput. Math., 2002

Computing Distances between Surfaces Using Line Geometry.
Proceedings of the 10th Pacific Conference on Computer Graphics and Applications, 2002

C<sup>1</sup> Spline Implicitization of Planar Curves.
Proceedings of the Automated Deduction in Geometry, 2002

Kinematics and Animation.
Proceedings of the Handbook of Computer Aided Geometric Design, 2002

2001
Hermite interpolation by Pythagorean hodograph curves of degree seven.
Math. Comput., 2001

2000
Hermite interpolation by piecewise polynomial surfaces with rational offsets.
Comput. Aided Geom. Des., 2000

Least-Squares Fitting of Algebraic Spline Curves via Normal Vector Estimation.
Proceedings of the 9th IMA Conference on the Mathematics of Surfaces, 2000

1999
Rational motion-based surface generation.
Comput. Aided Des., 1999

Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling.
Comput. Aided Des., 1999

1998
Computational Methods for discrete parametric ℓ<sub>1</sub> and ℓ<sub>∞</sub> Curve Fitting.
Int. J. Shape Model., 1998

Special issue: Motion design and kinematics.
Comput. Aided Des., 1998

Cartesian spline interpolation for industrial robots.
Comput. Aided Des., 1998

The dual basis functions for the Bernstein polynomials.
Adv. Comput. Math., 1998

1997
A vegetarian approach to optimal parameterizations.
Comput. Aided Geom. Des., 1997

Shape preserving least-squares approximation by polynomial parametric spline curves.
Comput. Aided Geom. Des., 1997

1996
Construction of Surfaces by Shape Preserving Approximation of Contour Data.
Proceedings of the Advanced Course on FAIRSHAPE, 1996

1995
Rational patches on quadric surfaces.
Comput. Aided Des., 1995

1994
Rationale Bézierdarstellung räumlicher Bewegungsvorgänge und ihre Anwendung zur Beschreibung bewegter Objekte.
PhD thesis, 1994

Visualization of moving objects using dual quaternion curves.
Comput. Graph., 1994

1993
A geometrical approach to curvature continuous joints of rational curves.
Comput. Aided Geom. Des., 1993

An algebraic approach to curves and surfaces on the sphere and on other quadrics.
Comput. Aided Geom. Des., 1993

1992
Some remarks on geometric continuity of rational surface patches.
Comput. Aided Geom. Des., 1992


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