Differential Geometric Performance • Works Cited

Sha Xin Wei

 

Mathematics References

Differential geometry, Geometric Measure Theory, Geometric Analysis

Ken A. Brakke? The Motion Of A Surface By Its Mean Curvature Mathematical Notes, n. 20, Princeton University Press, Princeton, N.J., 1978.

Chopp, David L., Sethian, J. A.? Flow under curvature: singularity formation, minimal surfaces, and geodesics? Experiment. Math. 2 (1993), no. 4, 235--255.

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Larry C. Evans, and Joel Spruck, Motion of level sets by mean curvature I, J. Diff. Geom. 33 (1991) 635-681.

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Karsten Grosse-Brauckmann, R. Kusner, and J. Sullivan, Constant Mean Curvature surfaces with cylindrical ends, in Mathematical Visualization, (H.-C. Hege, K. Polthier, eds.), Springer, 1998.

Karsten Groß e-Brauckmann, K. Polthier, Compact constant mean curvature surfaces with low genus, Experiment. Math. 6 no. 1 (1997) 13--32.

Karsten Groß e-Brauckmann, K. Polthier, Numerical examples of compact surfaces of constant mean curvature, Elliptic and Parabolic Methods in Geometry (Minneapolis, MN, 1994), A K Peters, Wellesley, MA, (1996) 23--46.

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Rob Kusner, R. Mazzeo, D. Pollack, The moduli space of complete embedded surfaces with constant mean curvature, J. Diff. Geom. 30 (1989) 465-503.

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S. Mü ller and V. Sverá k, On surfaces of finite total curvature, J. Diff. Geom. 42 no. 2 (1995) 229--258.

Bernd Oberknapp, Konrad Polthier, An algorithm for discrete constant mean curvature surfaces, Visualization and Mathematics (H.-C. Hege, K. Polthier, eds.), Springer-Verlag, Heidelberg (1997) 141-161.

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B. White, The topology of hypersurfaces moving by mean curvature, Comm. Anal. Geom. 3, no. 1-2 (1995) 317--333.

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Other Mathematics References

Sheldon Axler, Harmonic Function Theory, Springer; with Mathematica package.

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George Frances, Topology

H.-C. Hege, K. Polthier, eds., Visualization and Mathematics, Springer-Verlag, Heidelberg (1997)

Janich, Topology, Springer

Ron Karidi, Convexity of nilpotent balls, preprint 1997.

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James A. Sethian, Level set methods, Evolving interfaces in geometry, fluid mechanics, computer vision, and materials science. Cambridge Monographs on Applied and Computational Mathematics, 3. Cambridge University Press, Cambridge, 1996

Sha Xin Wei, MathViewer: SMP-driven visualizations and geometric evolutions, MSRI Workshop on Visualization of Geometric Structures, 1992.

Sha Xin Wei, Geometric Representation Theorems, technical note, 1998.

Sha Xin Wei, A Laboratory for Geometric Performance, technical report, Stanford University, 1998.

 

 

 

Philosophy and History References

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Other Computer Science References

AVS - visualization and simulation system

AXIOM - later ScratchPad, IBM Watson Research Center.

Computational Geometry By Example

Explorer, SGI 3D visualization system.

Fred Lakin (<-Leifer 9/97)

J. Cassell - Gesture and Narrative Language -

The Interaction Between Verbal and Nonverbal Communication. Professor Justine Cassell This project

explores the empirical foundations of multimodal human-computer interaction. A ...

http://www.media.mit.edu/groups/casr/cassell.html (Size 10.5K) Document date: 19 Dec 1997

Chris Chafe, CS 377 (Music 252): Human Computer Interface Design, Stanford University 1996-97, http://www-pcd.stanford.edu/hci/courses/music252.html

David Cannon (<-Leifer 9/97)

Cathy Haas and Sha Xin Wei. Stanford American Sign Language Videodisc Project, Proceedings Of The Johns Hopkins National Search For Computing Applications To Assist Persons With Disabilities. IEEE Comput. Soc. Press, 1992, 41--44.

ML programming language

Numerical Algorithms Group (NAG)

(Pen Computing: http://www.amug.org/amug/sigs/newton/nanug/PenReport/Introduction.html)

(Pattern Recognition Research Groups Here the entries are given for research groups active in the pattern recognition field: http://www.ph.tn.tudelft.nl/PRInfo/groups.html .)

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Sha Xin Wei, Performable Writing (1996), http://www-asd.stanford.edu/Media2/texts/Innovation/PerformableWriting.html

Sha Xin Wei, Geometric Reasoning Laboratory, Presentation CSLI Interface Lab 4/96, http://truffaut/Library/Media/documents/GRL/slides/grl.html

Sha Xin Wei, A geometer’s workbench, presentated Stanford Computer Science Mural group May 1998.

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