Helmut Pottmann

Anthony S. Ramos Cisneros

Comput. Aided Des., 2025

2024

Quad mesh mechanisms.

[BibT_eX]

[DOI]

ACM Trans. Graph., December, 2024

Designing triangle meshes with controlled roughness.

[BibT_eX]

[DOI]

ACM Trans. Graph., December, 2024

Approximation by Meshes with Spherical Faces.

[BibT_eX]

[DOI]

ACM Trans. Graph., December, 2024

Flexible Kokotsakis Meshes with Skew Faces: Generalization of the Orthodiagonal Involutive Type.

[BibT_eX]

[DOI]

Comput. Aided Des., March, 2024

2023

Rectifying Strip Patterns.

[BibT_eX]

[DOI]

ACM Trans. Graph., December, 2023

Meshes with Spherical Faces.

[BibT_eX]

[DOI]

Martin Kilian

Anthony S. Ramos Cisneros

Christian Müller

ACM Trans. Graph., December, 2023

Developable Quad Meshes and Contact Element Nets.

[BibT_eX]

[DOI]

ACM Trans. Graph., December, 2023

Deployable strip structures.

[BibT_eX]

[DOI]

ACM Trans. Graph., August, 2023

Planar Panels and Planar Supporting Beams in Architectural Structures.

[BibT_eX]

[DOI]

ACM Trans. Graph., April, 2023

Architectural Structures from Quad Meshes with Planar Parameter Lines.

[BibT_eX]

[DOI]

Comput. Aided Des., March, 2023

2022

Developable Quad Meshes.

[BibT_eX]

[DOI]

CoRR, 2022

UrbanFlow: Designing Comfortable Outdoor Areas.

[BibT_eX]

[DOI]

CoRR, 2022

Characteristic parameterizations of surfaces with a constant ratio of principal curvatures.

[BibT_eX]

[DOI]

Hui Wang

Comput. Aided Geom. Des., 2022

Designing Asymptotic Geodesic Hybrid Gridshells.

[BibT_eX]

[DOI]

Comput. Aided Des., 2022

Shape-morphing mechanical metamaterials.

[BibT_eX]

[DOI]

Comput. Aided Des., 2022

2021

Computational design of weingarten surfaces.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2021

Using isometries for computational design and fabrication.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2021

Geometry and tool motion planning for curvature adapted CNC machining.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2021

2020

Principal symmetric meshes.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2020

Quad-mesh based isometric mappings and developable surfaces.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2020

Freeform quad-based kirigami.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2020

Computational design of cold bent glass façades.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2020

Discretizations of Surfaces with Constant Ratio of Principal Curvatures.

[BibT_eX]

[DOI]

Michael R. Jimenez

Christian Müller

Discret. Comput. Geom., 2020

Multi-Nets. Classification of Discrete and Smooth Surfaces with Characteristic Properties on Arbitrary Parameter Rectangles.

[BibT_eX]

[DOI]

Alexander I. Bobenko

Thilo Rörig

Discret. Comput. Geom., 2020

Characterizing envelopes of moving rotational cones and applications in CNC machining.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2020

2019

Discrete geodesic parallel coordinates.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2019

Checkerboard patterns with black rectangles.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2019

Visual smoothness of polyhedral surfaces.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2019

Curve-pleated structures.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2019

Optimizing B-spline surfaces for developability and paneling architectural freeform surfaces.

[BibT_eX]

[DOI]

Konstantinos Gavriil

Alexander Schiftner

Comput. Aided Des., 2019

2018

Designing patterns using triangle-quad hybrid meshes.

[BibT_eX]

[DOI]

Chi-Han Peng

Peter Wonka

ACM Trans. Graph., 2018

Curved support structures and meshes with spherical vertex stars.

[BibT_eX]

[DOI]

Proceedings of the Special Interest Group on Computer Graphics and Interactive Techniques Conference, 2018

Design and construction of curved support structures with repetitive parameters.

[BibT_eX]

Proceedings of the AAG 2018, 2018

Aligning principal stress and curvature directions.

[BibT_eX]

Davide Pellis

Proceedings of the AAG 2018, 2018

2017

Material-minimizing forms and structures.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2017

Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining.

[BibT_eX]

[DOI]

Pengbo Bo

Michael Barton

Comput. Aided Des., 2017

Technical Perspective: Linking form, function, and fabrication.

[BibT_eX]

[DOI]

Commun. ACM, 2017

Freeform Architecture and Discrete Differential Geometry.

[BibT_eX]

[DOI]

Proceedings of the Discrete Geometry for Computer Imagery, 2017

2016

Interactive Design of Developable Surfaces.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2016

Towards efficient 5-axis flank CNC machining of free-form surfaces via fitting envelopes of surfaces of revolution.

[BibT_eX]

[DOI]

Comput. Aided Des., 2016

2015

Polyhedral patterns.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2015

Architectural geometry.

[BibT_eX]

[DOI]

Comput. Graph., 2015

Cell packing structures.

[BibT_eX]

[DOI]

Comput. Aided Des., 2015

Precise gouging-free tool orientations for 5-axis CNC machining.

[BibT_eX]

[DOI]

Comput. Aided Des., 2015

Steering of form - New integrative approaches to architectural design and modeling.

[BibT_eX]

[DOI]

Philippe Block

Axel Kilian

Comput. Aided Des., 2015

Freeform honeycomb structures and lobel frames.

[BibT_eX]

[DOI]

Proceedings of the Special Interest Group on Computer Graphics and Interactive Techniques Conference, 2015

2014

Form-finding with polyhedral meshes made simple.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2014

Freeform Honeycomb Structures.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2014

Detection and reconstruction of freeform sweeps.

[BibT_eX]

[DOI]

Michael Barton

Comput. Graph. Forum, 2014

Smooth surfaces from rational bilinear patches.

[BibT_eX]

[DOI]

Ling Shi

Jun Wang

Comput. Aided Geom. Des., 2014

Interactive Modeling of Architectural Freeform Structures: Combining Geometry with Fabrication and Statics.

[BibT_eX]

[DOI]

Proceedings of the Advances in Architectural Geometry, 2014

2013

Discrete Line Congruences for Shading and Lighting.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2013

Circular Arc Snakes and Kinematic Surface Generation.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2013

Smooth surfaces from bilinear patches: Discrete affine minimal surfaces.

[BibT_eX]

[DOI]

Florian Käferböck

Comput. Aided Geom. Des., 2013

2012

Design of self-supporting surfaces.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2012

Darboux cyclides and webs from circles.

[BibT_eX]

[DOI]

Ling Shi

Mikhail Skopenkov

Comput. Aided Geom. Des., 2012

Intuitive Design Exploration of Constrained Meshes.

[BibT_eX]

[DOI]

Proceedings of the Advances in Architectural Geometry, 2012

Ruled Free Forms.

[BibT_eX]

[DOI]

Proceedings of the Advances in Architectural Geometry, 2012

2011

Shape space exploration of constrained meshes.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2011

Circular arc structures.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2011

Functional webs for freeform architecture.

[BibT_eX]

[DOI]

Bailin Deng

Comput. Graph. Forum, 2011

2010

Geodesic patterns.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2010

Paneling architectural freeform surfaces.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2010

Edge offset meshes in Laguerre geometry.

[BibT_eX]

[DOI]

Philipp Grohs

Bernhard Blaschitz

Adv. Comput. Math., 2010

Discrete geometric structures for architecture.

[BibT_eX]

[DOI]

Proceedings of the 26th ACM Symposium on Computational Geometry, 2010

Tiling Freeform Shapes With Straight Panels: Algorithmic Methods.

[BibT_eX]

[DOI]

Proceedings of the Advances in Architectural Geometry, 2010

Case Studies in Cost-Optimized Paneling of Architectural Freeform Surfaces.

[BibT_eX]

[DOI]

Proceedings of the Advances in Architectural Geometry, 2010

Architekturgeometrie.

[BibT_eX]

[DOI]

Springer, ISBN: 978-3-211-99765-9, 2010

2009

Packing circles and spheres on surfaces.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2009

Integral invariants for robust geometry processing.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2009

Generalized penetration depth computation based on kinematical geometry.

[BibT_eX]

[DOI]

Georg Nawratil

Comput. Aided Geom. Des., 2009

Laguerre minimal surfaces, isotropic geometry and linear elasticity.

[BibT_eX]

[DOI]

Philipp Grohs

Niloy J. Mitra

Adv. Comput. Math., 2009

2008

Freeform surfaces from single curved panels.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2008

Discovering structural regularity in 3D geometry.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2008

Curved folding.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2008

The focal geometry of circular and conical meshes.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2008

Geometry of architectural freeform structures.

[BibT_eX]

[DOI]

Proceedings of the 2008 ACM Symposium on Solid and Physical Modeling, 2008

2007

Fair webs.

[BibT_eX]

[DOI]

Vis. Comput., 2007

Robust Feature Classification and Editing.

[BibT_eX]

[DOI]

IEEE Trans. Vis. Comput. Graph., 2007

Geometry of multi-layer freeform structures for architecture.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2007

Geometric modeling in shape space.

[BibT_eX]

[DOI]

Martin Kilian

Niloy J. Mitra

ACM Trans. Graph., 2007

Variational and PDE level set methods.

[BibT_eX]

[DOI]

Bert Jüttler

Otmar Scherzer

Computing, 2007

Principal curvatures from the integral invariant viewpoint.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2007

Dynamic geometry registration.

[BibT_eX]

[DOI]

Proceedings of the Fifth Eurographics Symposium on Geometry Processing, Barcelona, 2007

Geometric Computing in Shape Space.

[BibT_eX]

[DOI]

Proceedings of the 15th Pacific Conference on Computer Graphics and Applications, 2007

Voronoi Diagrams for Oriented Spheres.

[BibT_eX]

[DOI]

Proceedings of the 4th International Symposium on Voronoi Diagrams in Science and Engineering, 2007

Discrete Surfaces in Isotropic Geometry.

[BibT_eX]

[DOI]

Yang Liu

Proceedings of the Mathematics of Surfaces XII, 2007

2006

Fitting B-spline curves to point clouds by curvature-based squared distance minimization.

[BibT_eX]

[DOI]

Wenping Wang

Yang Liu

ACM Trans. Graph., 2006

Intrinsic subdivision with smooth limits for graphics and animation.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2006

Geometric modeling with conical meshes and developable surfaces.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2006

Reassembling fractured objects by geometric matching.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2006

Geometry and Convergence Analysis of Algorithms for Registration of 3D Shapes.

[BibT_eX]

[DOI]

Int. J. Comput. Vis., 2006

Constrained 3D shape reconstruction using a combination of surface fitting and registration.

[BibT_eX]

[DOI]

Yang Liu

Wenping Wang

Comput. Aided Des., 2006

Surface fitting based on a feature sensitive parametrization.

[BibT_eX]

[DOI]

Yu-Kun Lai

Shi-Min Hu

Comput. Aided Des., 2006

Robust principal curvatures on multiple scales.

[BibT_eX]

[DOI]

Proceedings of the Fourth Eurographics Symposium on Geometry Processing, Cagliari, 2006

2005

A variational approach to spline curves on surfaces.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2005

Industrial geometry: recent advances and applications in CAD.

[BibT_eX]

[DOI]

Comput. Aided Des., 2005

Special section on geometric modeling and processing.

[BibT_eX]

[DOI]

Shi-Min Hu

Comput. Aided Des., 2005

Fair curve networks in nonlinear geometries.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Computer Graphics and Interactive Techniques, 2005

Robust Global Registration.

[BibT_eX]

[DOI]

Proceedings of the Third Eurographics Symposium on Geometry Processing, 2005

3D Shape Recognition and Reconstruction Based on Line Element Geometry.

[BibT_eX]

[DOI]

Proceedings of the 10th IEEE International Conference on Computer Vision (ICCV 2005), 2005

2004

From curve design algorithms to the design of rigid body motions.

[BibT_eX]

[DOI]

Vis. Comput., 2004

Energy-minimizing splines in manifolds.

[BibT_eX]

[DOI]

ACM Trans. Graph., 2004

Registration without ICP.

[BibT_eX]

[DOI]

Comput. Vis. Image Underst., 2004

Special issue on geometric modeling and processing.

[BibT_eX]

[DOI]

Shi-Min Hu

Comput. Aided Geom. Des., 2004

Editorial to: Industrial Geometry.

[BibT_eX]

[DOI]

Comput. Aided Des., 2004

Registration of Point Cloud Data from a Geometric Optimization Perspective.

[BibT_eX]

[DOI]

Proceedings of the Second Eurographics Symposium on Geometry Processing, 2004

The Isophotic Metric and Its Application to Feature Sensitive Morphology on Surfaces.

[BibT_eX]

[DOI]

Proceedings of the Computer Vision, 2004

Line Geometry for 3D Shape Understanding and Reconstruction.

[BibT_eX]

[DOI]

Proceedings of the Computer Vision, 2004

2003

Computing the Minkowski sum of ruled surfaces.

[BibT_eX]

[DOI]

Heidrun Mühlthaler

Graph. Model., 2003

A concept for parametric surface fitting which avoids the parametrization problem.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2003

Geometric design of motions constrained by a contacting surface pair.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2003

Locally optimal cutting positions for 5-axis sculptured surface machining.

[BibT_eX]

[DOI]

Joung-Hahn Yoon

Yuan-Shin Lee

Comput. Aided Des., 2003

Segmentation and Modeling of Approximately Rotationally Symmetric Objects in 3D Ultrasound.

[BibT_eX]

[DOI]

Johannes Ruisz

Dieter Hönigmann

Proceedings of the 4th International Conference on 3D Digital Imaging and Modeling (3DIM 2003), 2003

2002

Exact Minkowski Products of N Complex Disks.

[BibT_eX]

[DOI]

Rida T. Farouki

Reliab. Comput., 2002

Optimal slicing of free-form surfaces.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2002

Geometry of the Squared Distance Function to Curves and Surfaces.

[BibT_eX]

[DOI]

Proceedings of the Third International Workshop "Visualization and Mathematics", 2002

Approximation with Active B-Spline Curves and Surfaces.

[BibT_eX]

[DOI]

Proceedings of the 10th Pacific Conference on Computer Graphics and Applications, 2002

Fast model based segmentation of ultrasound data using an active image.

[BibT_eX]

[DOI]

Dieter Hönigmann

Johannes Ruisz

Proceedings of the 2002 IEEE International Symposium on Biomedical Imaging, 2002

Geometries for CAGD.

[BibT_eX]

[DOI]

Proceedings of the Handbook of Computer Aided Geometric Design, 2002

2001

Self-Intersections of Offset Curves and Surfaces.

[BibT_eX]

[DOI]

Int. J. Shape Model., 2001

2000

Piecewise optimal triangulation for the approximation of scattered data in the plane.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2000

Error propagation in geometric constructions.

[BibT_eX]

[DOI]

Rimvydas Krasauskas

Comput. Aided Des., 2000

On Approximation in Spaces of Geometric Objects.

[BibT_eX]

Proceedings of the 9th IMA Conference on the Mathematics of Surfaces, 2000

On Optimal Tolerancing in Computer-Aided Design.

[BibT_eX]

[DOI]

Proceedings of the Geometric Modeling and Processing 2000, 2000

1999

On Surface Approximation Using Developable Surfaces.

[BibT_eX]

[DOI]

Graph. Model. Image Process., 1999

Approximation algorithms for developable surfaces.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1999

An introduction to line geometry with applications.

[BibT_eX]

[DOI]

Comput. Aided Des., 1999

On the computational geometry of ruled surfaces.

[BibT_eX]

[DOI]

Comput. Aided Des., 1999

Collision-free 3-axis milling and selection of cutting tools.

[BibT_eX]

[DOI]

Georg Glaeser

Comput. Aided Des., 1999

1998

Contributions to Motion Based Surface Design.

[BibT_eX]

[DOI]

Michael G. Wagner

Int. J. Shape Model., 1998

Rotational and Helical Surface Approximation for Reverse Engineering.

[BibT_eX]

[DOI]

Thomas Randrup

Computing, 1998

Applications of Laguerre geometry in CAGD.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1998

A Laguerre geometric approach to rational offsets.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1998

Approximation of developable surfaces with cone spline surfaces.

[BibT_eX]

[DOI]

Comput. Aided Des., 1998

Geometric Contribution to 3-axis Milling of Sculptured Surfaces.

[BibT_eX]

Georg Glaeser

Proceedings of the Machining Impossible Shapes, 1998

1997

General offset surfaces.

[BibT_eX]

[DOI]

Neural Parallel Sci. Comput., 1997

Computing Rational Parametrizations of Canal Surfaces.

[BibT_eX]

[DOI]

J. Symb. Comput., 1997

Rational blending surfaces between quadrics.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1997

Inflections of planar surface curves.

[BibT_eX]

[DOI]

Peter Paukowitsch

Comput. Aided Geom. Des., 1997

1996

Rational Ruled Surfaces and Their Offsets.

[BibT_eX]

[DOI]

Wei Lü

CVGIP Graph. Model. Image Process., 1996

Pipe surfaces with rational spine curve are rational.

[BibT_eX]

[DOI]

Wei Lü

Comput. Aided Geom. Des., 1996

1995

Fair Surface Reconstruction Using Quadratic Functionals.

[BibT_eX]

[DOI]

Andreas Kolb

Hans-Peter Seidel

Comput. Graph. Forum, 1995

Developable rational Bézier and B-spline surfaces.

[BibT_eX]

[DOI]

Gerald E. Farin

Comput. Aided Geom. Des., 1995

Rational curves and surfaces with rational offsets.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1995

Curve design with rational Pythagorean-hodograph curves.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1995

1994

Computing shortest paths on polyhedra: applications in geometric modeling and scientific visualization.

[BibT_eX]

[DOI]

Karsten Opitz

Int. J. Comput. Geom. Appl., 1994

Curvature analysis and visualization for functions defined on Euclidean spaces or surfaces.

[BibT_eX]

[DOI]

Karsten Opitz

Comput. Aided Geom. Des., 1994

Helix splines as an example of affine Tchebycheffian splines.

[BibT_eX]

[DOI]

Michael G. Wagner

Adv. Comput. Math., 1994

Polynomial and Rational Pythagorean-Hodograph Curves Reconciled.

[BibT_eX]

Rida T. Farouki

Proceedings of the 6th IMA Conference on the Mathematics of Surfaces, 1994

Geometric Motion Design.

[BibT_eX]

Michael G. Wagner

Proceedings of the Modelling and Planning for Sensor Based Intelligent Robot Systems [Dagstuhl Workshop, 1994

1993

The geometry of Tchebycheffian splines.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1993

1992

Interpolation on surfaces using minimum norm networks.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1992

Fat surfaces: a trivariate approach to triangle-based interpolation on surfaces.

[BibT_eX]

[DOI]

Robert E. Barnhill

Karsten Opitz

Comput. Aided Geom. Des., 1992

1991

Locally Controllable Conic Splines with Curvature Continuity.

[BibT_eX]

[DOI]

ACM Trans. Graph., 1991

Visualizing functions on a surface.

[BibT_eX]

[DOI]

Hans Hagen

Andreas Divivier

Comput. Animat. Virtual Worlds, 1991

1990

Modified multiquadric methods for scattered data interpolation over a sphere.

[BibT_eX]

[DOI]

Matthias Eck

Comput. Aided Geom. Des., 1990

Smooth curves under tension.

[BibT_eX]

[DOI]

Comput. Aided Des., 1990

1989

Projectively invariant classes of geometric continuity for CAGD.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1989

Visualizing Curvature Discontinuities of Free-Form Surfaces.

[BibT_eX]

[DOI]

Proceedings of the 10th European Computer Graphics Conference and Exhibition, 1989

1988

Minisymposium Geometrische Verfahren der Graphischen Datenverarbeitung Spezielle Visualisierungstechniken.

[BibT_eX]

[DOI]

Proceedings of the Visualisierungstechniken und Algorithmen, 1988

Eine Verfeinerung der Isophotenmethode zur Qualitätsanalyse von Freiformflächen.

[BibT_eX]

Proceedings of the Visualisierungstechniken und Algorithmen, 1988

Interpolierende Kurven und Flächen mit geometrischer Stetigkeit höherer Ordnung.

[BibT_eX]

[DOI]