Malcolm A. Sabin

Orcid: 0000-0003-3279-4039

According to our database1, Malcolm A. Sabin authored at least 79 papers between 1976 and 2022.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2022
CAD Model Details via Curved Knot Lines and Truncated Powers.
Comput. Aided Des., 2022

2020
Adding quadric fillets to quador lattice structures.
Comput. Aided Des., 2020

2019
Old problems and new challenges in subdivision.
J. Comput. Appl. Math., 2019

Filletting Quador Lattice Structures.
CoRR, 2019

A bivariate <i>C</i><sup>1</sup> subdivision scheme based on cubic half-box splines.
Comput. Aided Geom. Des., 2019

2018
Interrogation of spline surfaces with application to isogeometric design and analysis of lattice-skin structures.
CoRR, 2018

Subdivision surfaces with isogeometric analysis adapted refinement weights.
Comput. Aided Des., 2018

2016
Converting a CAD model into a non-uniform subdivision surface.
Comput. Aided Geom. Des., 2016

Adaptivity with B-spline Elements.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2016

Towards Subdivision Surfaces C2 Everywhere.
Proceedings of the Mathematical Methods for Curves and Surfaces, 2016

2015
Rapidly finding CAD features using database optimization.
Comput. Aided Des., 2015

Control vectors for splines.
Comput. Aided Des., 2015

2014
Creases and boundary conditions for subdivision curves.
Graph. Model., 2014

Semi-sharp Creases on Subdivision Curves and Surfaces.
Comput. Graph. Forum, 2014

Subdivision Surfaces with Creases and Truncated Multiple Knot Lines.
Comput. Graph. Forum, 2014

Conversion of trimmed NURBS surfaces to Catmull-Clark subdivision surfaces.
Comput. Aided Geom. Des., 2014

Conversion of Trimmed NURBS Surfaces to Untrimmed Catmull-Clark Subdivision Surfaces.
Proceedings of the Theory and Practice of Computer Graphics, 2014

2013
Cubic subdivision schemes with double knots.
Comput. Aided Geom. Des., 2013

2011
Artifact analysis on triangular box-splines and subdivision surfaces defined by triangular polyhedra.
Comput. Aided Geom. Des., 2011

Artifact analysis on B-splines, box-splines and other surfaces defined by quadrilateral polyhedra.
Comput. Aided Geom. Des., 2011

2010
Analysis and Design of Univariate Subdivision Schemes
Geometry and Computing 6, Springer, ISBN: 978-3-642-13648-1, 2010

Variations on the four-point subdivision scheme.
Comput. Aided Geom. Des., 2010

2009
NURBS with extraordinary points: high-degree, non-uniform, rational subdivision schemes.
ACM Trans. Graph., 2009

Removing Polar Rendering Artifacts in Subdivision Surfaces.
J. Graphics, GPU, & Game Tools, 2009

Two open questions relating to subdivision.
Computing, 2009

Filling <i>N</i>-Sided Regions by Quad Meshes for Subdivision Surfaces.
Comput. Graph. Forum, 2009

Selective knot insertion for symmetric, non-uniform refine and smooth B-spline subdivision.
Comput. Aided Geom. Des., 2009

A symmetric, non-uniform, refine and smooth subdivision algorithm for general degree B-splines.
Comput. Aided Geom. Des., 2009

Deriving Box-Spline Subdivision Schemes.
Proceedings of the Mathematics of Surfaces XIII, 2009

Numerical Checking of C1 for Arbitrary Degree Quadrilateral Subdivision Schemes.
Proceedings of the Mathematics of Surfaces XIII, 2009

2008
Polynomial reproduction by symmetric subdivision schemes.
J. Approx. Theory, 2008

A family of subdivision schemes with cubic precision.
Comput. Aided Geom. Des., 2008

2007
Bounded Curvature Subdivision Without Eigenanalysis.
Proceedings of the Mathematics of Surfaces XII, 2007

Non-uniform B-Spline Subdivision Using Refine and Smooth.
Proceedings of the Mathematics of Surfaces XII, 2007

2006
Tuning Subdivision by Minimising Gaussian Curvature Variation Near Extraordinary Vertices.
Comput. Graph. Forum, 2006

Feature Curves with Cross Curvature Control on Catmull-Clark Subdivision Surfaces.
Proceedings of the Advances in Computer Graphics, 2006

2005
Maximal approximation order for a box-spline semi-cardinal interpolation scheme on the three-direction mesh.
Adv. Comput. Math., 2005

Artifacts in Box-Spline Surfaces.
Proceedings of the Mathematics of Surfaces XI, 2005

Recent Progress in Subdivision: a Survey.
Proceedings of the Advances in Multiresolution for Geometric Modelling, 2005

√5-subdivision.
Proceedings of the Advances in Multiresolution for Geometric Modelling, 2005

Subdivision as a Sequence of Sampled <i>C</i><sup>p</sup> Surfaces.
Proceedings of the Advances in Multiresolution for Geometric Modelling, 2005

Simple Computation of the Eigencomponents of a Subdivision Matrix in the Fourier Domain.
Proceedings of the Advances in Multiresolution for Geometric Modelling, 2005

2004
On the support of recursive subdivision.
ACM Trans. Graph., 2004

The conversion matrix between uniform B-spline and Be'zier representations.
Comput. Aided Geom. Des., 2004

A generative classification of mesh refinement rules with lattice transformations.
Comput. Aided Geom. Des., 2004

2003
Two-dimensional Potential Fields for Advanced Implicit Modeling Operators.
Comput. Graph. Forum, 2003

Curvature behaviours at extraordinary points of subdivision surfaces.
Comput. Aided Des., 2003

Boundary Conditions for the 3-Direction Box-Spline.
Proceedings of the Mathematics of Surfaces, 2003

2002
Editorial to the Special Issue on subdivision 2001.
Vis. Comput., 2002

Taxonomy of interpolation constraints on recursive subdivision surfaces.
Vis. Comput., 2002

Taxonomy of interpolation constraints on recursive subdivision curves.
Vis. Comput., 2002

On the Geometry of Recursive Subdivision.
Int. J. Shape Model., 2002

Interactive Implicit Modelling Based on C<sup>1</sup> Continuous Reconstruction of Regular Grids.
Int. J. Shape Model., 2002

The refinability of the four point scheme.
Comput. Aided Geom. Des., 2002

An interpolating 4-point C2 ternary stationary subdivision scheme.
Comput. Aided Geom. Des., 2002

Recursive Subdivision and Hypergeometric Function.
Proceedings of the 2002 International Conference on Shape Modeling and Applications (SMI 2002), 2002

Triquadratic Reconstruction for Interactive Modelling of Potential Fields (figures 1 and 2).
Proceedings of the 2002 International Conference on Shape Modeling and Applications (SMI 2002), 2002

Triquadratic Reconstruction for Interactive Modelling of Potential Fields.
Proceedings of the 2002 International Conference on Shape Modeling and Applications (SMI 2002), 2002

Eigenanalysis and Artifacts of Subdivision Curves and Surfaces.
Proceedings of the Tutorials on Multiresolution in Geometric Modelling, 2002

Subdivision of Box-Splines.
Proceedings of the Tutorials on Multiresolution in Geometric Modelling, 2002

Interrogation of Subdivision Surfaces.
Proceedings of the Handbook of Computer Aided Geometric Design, 2002

Subdivision Surfaces.
Proceedings of the Handbook of Computer Aided Geometric Design, 2002

1998
Non-uniform Recursive Subdivision Surfaces.
Proceedings of the 25th Annual Conference on Computer Graphics and Interactive Techniques, 1998

1997
Ten questions that arose in designing the Djinn API for solid modelling.
Proceedings of 1997 International Conference on Shape Modeling and Applications, 1997

1994
Transfinite Surface Interpolation.
Proceedings of the 6th IMA Conference on the Mathematics of Surfaces, 1994

1993
CAD system components.
Comput. Aided Des., 1993

World survey of computer-aided design.
Comput. Aided Des., 1993

1991
ω-Convergence, A Criterion for Linear Approximation.
Proceedings of the Curves and Surfaces, 1991

Cubic Recursive Division With Bounded Curvature.
Proceedings of the Curves and Surfaces, 1991

1988
Circles and Cyclides: Applying the Absolute.
Proceedings of the 3rd IMA Conference on the Mathematics of Surfaces, 1988

1987
High accuracy geometric Hermite interpolation.
Comput. Aided Geom. Des., 1987

1986
A Survey of Contouring Methods.
Comput. Graph. Forum, 1986

1983
Non-Rectangular Surface Patches Suitable for Inclusion in a B-Spline Surface.
Proceedings of the 4th European Computer Graphics Conference and Exhibition, 1983

1982
A Short Term Step in the Development of 3D Graphics Standards.
Comput. Graph. Forum, 1982

Graphics standards for three-dimensional modelling.
Proceedings of the 9th Annual Conference on Computer Graphics and Interactive Techniques, 1982

The detailed semantics of graphics input devices.
Proceedings of the 9th Annual Conference on Computer Graphics and Interactive Techniques, 1982

1977
Piecewise Quadratic Approximations on Triangles.
ACM Trans. Math. Softw., 1977

1976
Portability-Some Experiences with FORTRAN.
Softw. Pract. Exp., 1976

A Method for Displaying the Intersection Curve of Two Quadric Surfaces.
Comput. J., 1976


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