Stephen Mann [UW shield]

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Last Updated: November 9, 2017

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Books, Monographs

Leo Dorst, Daniel Fontijne, and Stephen Mann, ``Geometric Algebra for Computer Science.'' Morgan-Kaufmann. 2006. Second printing 2009.
A Blossoming Development of Splines, Synthesis Lectures on Computer Graphics, 2006, Vol. 1, No. 1, Pages 1-97 (doi: 10.2200/S00041ED1V01200607CGR001).
Errata

Journal Articles and Other Refereed and Reviewed Publications:

2017

Ravinder Kumar Duvedi, Sanjeev Bedi, Stephen Mann, ``Numerical implementation of drop and tilt method of five-axis tool positioning for tensor product surfaces'', (read only version), in the International Journal of Advanced Manufacturing Technology, published online, October 2017. DOI 10.1007/s00170-017-1193-1
Juan Du, Ron Goldman, and Stephen Mann, Modeling 3D Geometry in the Clifford Algebra R(4,4), in the Journal of Advances in Applied Clifford Algebras. December 2017, Vol 27, No 4, pp 3039--3062. online, July 2017. Read only version. DOI 10.1007/s00006-017-0798-7
Ravinder Kumar Duvedi, Sanjeev Bedi, Stephen Mann, ``Drop and tilt method of five-axis tool positioning for tensor product surfaces'', (read only version), in the International Journal of Advanced Manufacturing Technology, October 2017, Vol 93, 1-4, pages 617-622, DOI 10.1007/s00170-017-0548-y

2016

Ravinder Kumar Duvedi, Sanjeev Bedi, Ajay Batish, Stephen Mann, ``The edge-torus tangency problem in multipoint machining of triangulated surface models'', in the International Journal of Advanced Manufacturing Technology, February 2016, Vol 82, No 9, pp 1959--1972. DOI 10.1007/s00170-015-7532-1

2015

Ravinder Duvedi, Ajay Batish, Sanjeev Bedi and Stephen Mann, ``Scallop Height of 5-axis Machining of Large Triangles with a Flat End Mill'', in Computer-Aided Design and Applications. April 2015, Vol 12, No 6, pg 710--716.
Alex Pytel and Stephen Mann , ``Procedural Modeling of Cave-like Channels'' in the Journal of Computer Graphics Techniques. May 2015, Vol 4, No 2, pg 10-29.
Ravinder Kumar Duvedi, Sanjeev Bedi, Ajay Batish, and Stephen Mann , ``Numeric implementation of drop and tilt method of 5-axis tool positioning for machining of triangulated surfaces.'' in the Journal of Advanced Manufacturing Technology. June 2015, Vol 78, No 9-12, pg 1677-1690 DOI 10.1007/s00170-014-6636-3
Ron Goldman and Stephen Mann, ``Using R(4,4) As a Model for Computer Graphics.'' in the Journal of Advances in Applied Clifford Algebras. Vol 25, No 1, pg 113-149. DOI 10.1007/s00006-014-0480-2

2014

Ravinder Duvedi, Sanjeev Bedi, Ajay Batish, Stephen Mann, ``A multipoint method for 5-axis machining of triangulated surface models,'' in Journal for Computer-Aided Design, Vol 52, Jul 2014, pg 17--26. DOI 10.1016/j.cad.2014.02.008
Ron Goldman, Stephen Mann, Xiaohong Jia, ``Computing Perspective Projections in 3-Dimensions using Rotors in the Homogeneous and Conformal Models of Clifford Algebra,'' in the Journal of Advances in Applied Clifford Algebras. DOI 10.1007/s00006-014-0439-3
Gerardo Salas Bolanos, Sanjeev Bedi, Stephen Mann, A topological-free method for three-axis tool path planning for generalized radiused end milled cutting of a triangular mesh surface, in International Journal of Advanced Manufacturing Technology, Vol 70, No 9, Feb 2014, pg 1813--1825. DOI 10.1007/s00170-013-5450-7

2013

Stuart Pollock and Stephen Mann, ``Vortex Detection in Vector Fields Using Geometric Algebra,'' in the Journal of Advances in Applied Clifford Algebras. Online. DOI 10.1007/s00006-013-0434-0.
Alex Pytel and Stephen Mann, ``Self-Organized Approach to Modeling Hydraulic Erosion Features,'' in the Journal of Computers and Graphics, special issue on Procedural Modeling, Vol 37, No 4. 2013. Pg 280--292. DOI 10.1016/j.cag.2013.01.006
Abedallah Rababah and Stephen Mann, ``Linear Methods for G^1, G^2, and G^3-Multi-Degree Reduction of Bézier Curves,'' in the Journal of Computer-Aided Design, Volume 45, Number 2, 2013, Pages 405-414. DOI 10.1016/j.cad.2012.10.023

2012

Chenggang Li, Sanjeev Bedi, Stephen Mann. ``NURBS approximation to the flank-milled surface swept by a cylindrical NC tool'' in International Journal of Advanced Manufacturing Technology, Vol 61, No 1, 2012. Pg 35-51. (Published online on July 17, 2007; DOI: 10.1007/s00170-011-3712-9)
Xinling Chen, Michale McCool, Asanobu Nitamoto, Stephen Mann, ``Embrodery Modelling and Rendering,'' in Graphics Interfaces 2012 proceedings.
Stuart Pollock and Stephen Mann, ``Vortex Detection in Vector Fields Using Geometric Algebra,'' 12 pages. Distributed on a USB key at the AGACSE 2012 conference but not otherwise published. An extended version of this paper has been submitted for publication.
Stephen Mann, ``Coordinate Free Perspective Projection of Points in the Conformal Model Using Transversions,'' 9 pages. Distributed on a USB key at the AGACSE 2012 conference but not otherwise published. An extended version of this paper has been submitted for publication joint with Ron Goldman and Xiaohong Jia.

2011

Gilad Israeli, Stephen Mann, Sanjeev Bedi, Ajayinder Singh Jawanda, Numerical Verification of CNC Machine Simulations, in Computer-Aided Design and Applications, Volume 8, Number 4, 2011, Pages 507-518.
Abedallah Rababah and Stephen Mann, ``Iterative process for G^2-multi degree reduction Bézier curves.'' In Applied Mathematics and Computation, Volume 217, Number 20, June 2011. Pg 8126-8133.

2010

Stephen Mann, ``Extending the A-Patch single sheet conditions to enable the tessellation of algebraics.'' In the proceedings for the ACM/SIAM Solid and Physical Modeling Conference, 2009.
Stephen Mann, Sanjeev Bedi, Gilad Israeli, and Xiaoran Zhou, ``Machine Models and Tool Motions for Simulating 5-Axis Machining,'', Computer-Aided Design, Vol 42, No 3, March 2010, pg 231-237.

2009

Gerardo Salas Bolanos, Stephen Mann and Sanjeev Bedi, ``Targeted WebCAD,'' in Computer-Aided Design and Applications, Volume 6, Number 5, pg 639--644.
Alex Kalaidjian, Craig S. Kaplan, and Stephen Mann, Automated landscape painting in the style of Bob Ross, in Computational Aesthetics 2009, pg 115-122.
Curtis Luk and Stephen Mann, ``Tessellating Algebraic Curves and Surfaces Using A-Patches,'' in the GRAPP 2009 Conference Proceedings. 8 pages.

2008

Elodie Fourquet, William Cowan, Stephen Mann, ``Geometric Displacement on Plane and Sphere,'' in Graphics Interface 2008.
Chenggang Li, Sanjeev Bedi, Stephen Mann. ``Accuracy Improvement Method for Flank Milling Surface Design,'' in International Journal of Advanced Manufacturing Technology, Vol 38, No 3--4, 2008. Pg 218--228. (Published online on July 17, 2007; DOI 10.1007/s00170-007-1092-y.)
``Flank Millable Surface Design with Conical and Barrel Tools,'' Chenggang Li, Sanjeev Bedi, and Stephen Mann in CADA, 5(1-4), 2008, pp 461-470.
Yingbin Liu and Stephen Mann, ``Parametric Triangular Bézier Surface Interpolation with Approximate Continuity,'' in SPM 08.
Yingbin Liu, Stephen Mann: Approximate G1 Cubic Surfaces for Data Approximation. GRAPP 2008: 39-44

2007

Nick P. Manos, Sanjeev Bedi, Dan Miller, and Stephen Mann, ``Single Controlled Axis Lathe Mill'', in International Journal of Advanced Manufacturing Technology, 2007, volume 32, no 1-2, pages 55-65.
``Flank Millable Surfaces Generated via Polynomial Composition,'' Chenggang Li, Stephen Mann, and Sanjeev Bedi, in CADA, 4(1-4), 2007, pp 41-48.
Fourquet, E., Cowan, W., and Mann, S. 2007. On the empirical limits of billboard rotation. In Proceedings of the 4th Symposium on Applied Perception in Graphics and Visualization (Tubingen, Germany, July 25 - 27, 2007). APGV '07, vol. 253. ACM, New York, NY, 49-56. DOI= http://doi.acm.org/10.1145/1272582.1272591
Yingbin Liu and Stephen Mann, ``Approximate Continuity for Parameteric Bézier Patches,'' in SPM 07. 315-321.
Chenggang Li, Sanjeev Bedi, Stephen Mann. Flank milling surface design in 5-axis machining. In the Proceedings of the International Conference on Smart Machining Systems, Gaithersburg, Maryland, USA. March, 2007.

2006

Chenggang Li, Sanjeev Bedi, and Stephen Mann, ``Flank milling of ruled surfaces with conical tools -- an optimization approach,'' in Journal of Advanced Manufacturing Technology, August 2006, Vol 29, pages 1115-1124. DOI 10.1007/s00170-005-0002-4
Celine Latulipe, Stephen Mann, Charles L. A. Clarke and Craig S. Kaplan, ``symSpline: Symmetric Two-Handed Spline Manipulation,'' in CHI 2006 Conference Proceedings. 10 pages.

2005

Paul Gray, Gilbert Poon, Gilad Israeli, Sanjeev Bedi, Stephen Mann and Dan Miller, ``Model to Part: A roadmap for the CNC machine of the future", in AMST 2005 7th International Conference on Advanced Manufacturing Systems and Technology, CISM Courses and Lectures No. 486, Springer Wien New York, 2005, pages 247-256.
Chenggang Li, Stephen Mann, and Sanjeev Bedi, ``Error Measurement for Flank Milling,'' in Computer-Aided Design, Vol 37, No 14, December 2005.

2004

Cornelia Menzel, Sanjeev, Bedi, Stephen Mann, ``Triple tangent flank milling of ruled surfaces,'' in Computer-Aided Design, Vol 36, No 3, March 2004.
Ron Goldman and Stephen Mann, ``Counting Pruned Bézier Curves,'' in Mathematical Methods for Curves and Surfaces: Tromso 2004. pages 169-178.
Christopher K. Ingram and Stephen Mann, ``Geometric B-Splines Over Triangular Domains,'' in "Geometric Design and Computing" (Seattle '03).
Craig Kaplan, Sanjeev Bedi, Stephen Mann, Gilad Israeli, and Gilbert Poon, A New Paradigm for Woodworking with NC Machines in CAD '04 Conference (published in The Journal of Computer-Aided Design and Applications, Vol 1, pg 217-222).

2003

Selina Siu and Stephen Mann, ``Computer Aided Ferret Design,'' in GMAG'03 proceedings.
Sanjeev Bedi, Stephen Mann, and Cornelia Menzel, Flank Milling with Flat End Milling Cutters, in Computer-Aided Design, Vol 35, 2003.
Rick Leung and Stephen Mann, ``Distortion minimization and continuity preservation in surface pasting,'' in the proceedings of Graphics Interfaces 2003.

2002

Adjusting Control Points to Achieve Continuity, in Computer Aided Geometric Design, 19 (2002). (preprint).
Generalization of the Imprint Method to General Surfaces of Revolution for NC Machining (with Sanjeev Bedi), Computer-Aided Design, Vol 34, No 5, April 2002. Preprint version
Stephen Mann and Alyn Rockwood, Computing Singularities of 3D Vector Fields with Geometric Algebra in IEEE Visualization 2002.
Leo Dorst and Stephen Mann, ``Geometric algebra: a computation framework for geometrical applications,'' part I (algebra) and part II (applications) , in IEEE Computer Graphics and Applications, May/June and July/August, 2002.

2001

Stephen Mann, Leo Dorst, and Tim Bouma, The Making of GABLE, a Geometric Algebra Learning Environment in Matlab,. In Advances in Geometric Algebra with Applications in Science and Engineering, editors: E. Bayro-Corrochano and G. Sobczyk publisher: Birkhäuser, 2001.
Marryat Ma and Stephen Mann, Multiresolution Editing of Pasted Surfaces, in Mathematical Methods for Curves and Surfaces, Oslo, 2000, 2001.
Surface Swept by a Toroidal Cutter During 5-axis Machining, (with David Roth, Sanjeev Bedi, and Fathy Ismail), Computer-Aided Design. Vol 33, January 2001.
Cylindrical Surface Pasting (with Teresa Yeung), in Geometric Modeling, Springer-Wein, 2001.

2000

Blair Conrad and Stephen Mann, Better Pasting Via Quasi-Intepolation, in Curve and Surface Design: Saint-Malo, 1999, Vanderbilt University Press, 2000.

1999

Cubic precision Clough-Tocher interpolation, CAGD, Vol 16, No 2, February 1999. Preprint version

1998

Stephen Mann, An Improved Side-Vertex Triangle Mesh Interpolant, in the Graphics Interface '98 Proceedings, 1998, pp 35-42.
Matthew Davidchuk and Stephen Mann, A Parameteric Hybrid Triangular Bézier Patch, in Mathematical Methods for Curves and Surfaces II, M. Daehlen, T. Lyche, L. Schumaker (eds), 1998, pp 335-342.
See also Matthew's thesis (listed below).

1997

Wayne Liu and Stephen Mann, ``An Optimal Algorithm for Expanding the Composition of Polynomials,'' ACM TOG, April, 1997.
Donald Dragomatz and Stephen Mann, "A Classified Bibliography of Literature on NC Tool Path Generation," Computer-Aided Design, Vol 29, No 3, March 1997. Preprint version
Leith Chan, Stephen Mann, Richard Bartels, World Space Surface Pasting, in the Graphics Interface '97 Proceedings. pdf
Michael Nidd, Stephen Mann, and Jay Black, Using Cone-tracing for Signal Strength Prediction in Indoor Wireless Networks, IEEE VTC '97.
Stephen Mann, Algorithms from Blossoms, in Curves and Surfaces with Applications in CAGD, A. Mehaute, C. Rabut, L. Schumaker (eds), 1997 pp 287-294.
(see Research Report CS-96-29, listed below).

1996

Wayne Liu and Stephen Mann ``Programming Support for Blossoming'', in the Graphics Interface '96 Conference Proceedings.

1995

Stephen Mann and Tony DeRose, ``Computing Values and Derivatives of Bézier and B-spline Tensor Products'' Computer Aided Geometric Design Vol 12, No 1, February 1995. Preprint version
Stephen Mann, ``Using Local Optimization in Surface Fitting,'' in Mathematical Methods for Curves and Surfaces, M. Daehlen, T. Lyche and L. Schumaker (eds), Vanderbilt University Press, Nashville, 1995.

1993

Tony DeRose, Ronald Goldman, Hans Hagen, and Stephen Mann, ``Functional Composition via Blossoming'' PDF ACM Transactions on Graphics, Vol. 12, No. 2, April 1993.

1992

Michael Lounsberry, Stephen Mann and Tony DeRose, ``Parametric Surface Interpolation'', in IEEE Computer Graphics and Applications, September 1992.

1991


Dan Baum, Stephen Mann, Kevin Smith, and James Winget, ``Making Radiosity Usable,'' SIGGRAPH 1991.
Michael Lounsbery, Charles Loop, Stephen Mann, David Meyers, James Painter, Tony DeRose and Kenneth Sloan, ``A Testbed for the Comparison of Parametric Surface Methods,'' in the proceedings of SPIE/SPSE Symposium on Electronic Imaging Science and Technology, Santa Clara, CA, February, 1990.

Short publications and Posters

Gudrun Albrecht, Daniel Gonsor, Thomas J. Peters, and Stephen Mann, Geometric Design: Visualization and Representation SIAM News, December 2011.
Xinling Chen, Michael McCool, Stephen Mann, and Asanobu Kitamoto, Embroidery Modeling and Rendering in Real Time SIGGRAPH, 2011.
Alex Pytel and Stephen Mann, Self-Organized Approach to Modeling Hydraulic Erosion Features Graphics Interface Conference, 2011.
Stephen Mann, Extending the A-Patch single sheet conditions to enable the tessellation of algebraics SPM, 2009.
Curtik Luk and Stephen Mann, Tessellating Algebraic Surfaces Using A-Patches Graphics Interface Conference, 2007
Elodie Fourquet, William Cowan, and Stephen Mann, A Perception Experiment on Rotated Billboards Graphics Interface Conference, 2007
Alex Kalaidjian, Craig Kaplan, and Stephen Mann, Automated Landscape Painting in the Style of Bob Ross Graphics Interface Conference, 2007
Elodie Fourquet, William Cowan, and Stephen Mann, ``Multiple perspectives in computer graphics: arguments from perceptual grouping and renaissance art'', poster abstract, in Proceedings of the 3rd symposium on Applied perception in graphics and visualization, 2006, pages 154.
Poster received Best Poster Award.
Yingbin Liu and Stephen Mann Approximate Continuity for Parametric, Triangular Bézier Surfaces Graphics Interface Conference, 2006
Curtis Luk and Stephen Mann Tessellating Algebraic Curves Using A-Patches Graphics Interface Conference, 2006
Mark Belcarz and Stephen Mann Isophotes of Approximately Continuous Surfaces Graphics Interface Conference, 2006
Yingbin Liu and Stephen Mann Approximate Continuity for Parametric, Triangular Bézier Surfaces Graphics Interface Conference, 2005
Stephen Mann, Criag Kaplan, Sanjeev Bedi, Gilad Israeli, and Gilbert Poon, Computer Assisted Woodworking Graphics Interface Conference, 2004
Stephen Mann, Quentin Playfair, and Tom King, Computer Aided Violin Design SIAM Geometric Design Conference, 2003
Stephen Mann, Sanjeev Bedi, and David Roth, The Swept Surface of an Elliptic Cylinder, poster abstract for ACM Solid Modeling, 2001. Based on an unpublished short paper
Marryat Ma and Stephen Mann, Multiresolution Editing of Pasted Surfaces, Graphics Interface Conference, 2000
Blair Conrad and Stephen Mann Better Pasting Through Quasi-Interpolation, Eurographics Conference, 1999

Technical Reports

Supervised Publications

The following are publications of work I supervised.

Dead-Paper Box

The following are papers that I have either withdrawn from publication, or are "resting" while I reconsider some of the ideas. I have made them available because there are interesting ideas in these papers. [UP] Up one level.