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Biography: 

Gregory M. Nielson has been affiliated with the School of Mathematics and Statistical Sciences since 1970 and is an Emeritus Professor from the School of Computing, Informatics and Decision Systems Engineering at Arizona State University, which he joined in 1983. His research has been continuously funded since his first Office of Naval Research Grant to ASU in 1972.  His research and professional contributions continue to be highly regarded and cited ( "Gregory M. Nielson" into Google usually results in more than one half million hits)

Based upon professional statistics (ref. google scholar), Professor Nielson is in the top five percent in all three of the research areas of Visualization, Computer Graphics and Numerical Analysis and in the top 10 percent in the research area of Geometric Modeling.

Nielson graduated from Richfield, Utah High School in 1961.* He received his bachelor's degree in 1965 from the University of Utah and imeditately began teaching university courses in mathematics that very same year.  In 1970, he obtained a doctorate and that same year started his teaching and researching career at ASU.

*BTW, the number 1961 is strobogrammatic which means that Prof. Nielson can wear his high school ring either way and the year reads correctly for both him and others! The next graduating class that can do this will be in the year 6009! (Possibly Prof. Nielson's Great^160 grandchild will wear such a ring!).

Education: 
  • Ph.D. University of Utah 1970
  • B.S. University of Utah1965
Research Interests: 

Scientific Visualization, Geometric Modeling, 

を組合せた曖昧さのないマーチング・キューブ法の整数化Asymptotic Deciderを組合せた曖昧さのないマーチング・キューブ法の整数化AN00349328

Nielson's paper "The side-vertex method for interpolating in triangles" published in 1979 is amongst the top 20 most highly cited papers of the Journal of Approximation Theory, which has been in publication for over 40 years with more than 3500 papers published.

Nielson's paper with his student, Bernd Hamann, "The asymptotic decider: resolving the ambiguity in marching cubes" published in 1991, is the overall 3rd most highly cited paper of the IEEE Visualization Conference Series which began in 1990.  Nielson has said that he thinks this is one of his most clever and useful ideas for volume visualization!

http://en.wikipedia.org/wiki/Asymptotic_decider

 

Nielson's paper "On Marching Cubes" which appeared in IEEE Transactions on Visualization and Computer Graphics in 2003 is among the top 20 most highly cited papers for this journal over the past 10 years.

Nielson's paper "Multivariate smoothing and interpolating splines" SIAM Journal of Numerical Analysis 1974 was published nearly 40 years ago, yet they it continues to be currently cited.

One of Nielson's most notable (and maybe the most innovative) paper was never published as a refereed journal article.  This is the TR 40 technical report of the Mathematics Department at ASU "Some piecewise polynomical alterrnatives to splines under tension".  It has been continuously cited every year since it was written in the early 70s (nearly half a century ago!)  Extremely few research papers have this longevity or influence!  These curves (which are sometimes referred to as nu-splines) exploided for design purposes a disconnect between the continuity and smoothness properties of the graphs of component functions and the graphs of the resulting parametric curves.  Parmetric curves with component functions which have very smooth graphs (no corners e. g.) can conveniently lead to parametric curve graphs with sharp features!  (E. g. corners, Go figure! How can this happen??? Rather amazing and very useful!)  This feature allows these curves and surfaces to be used for modeling buildings and other artifacts.   If you are interested and can't easily find a copy, please contact: nielson@asu.edu

Most Cited Publications

  • Techniques for extracting and modeling geometric features from point cloud data sets, Intelligent Computer Graphics, 2012, Springer.
  • Dual Marching Cubes, Visualization Conference Proceedings 2004
  • Interval Volume Tetrahedrization , with J. Sung, Visualization Conference Proceedings  1997
  • Scattered Data Modeling, IEEE Computer Graphics and Applications, 1993
  • Terrain Simulation using a Model of Stream Erosion, with A Kelley & M Malin, SIGGRAPH 1988
  • Direct Manipulation Techniques for 3D Objects using 2D Locators, with D Olsen, Computer Graphics 1986
  • Method for interpolating scattered data based upon minimum norm network, Mathematics of Computation, 1983
  • Smooth interpolation of large sets of scattered data, with R Franke, International Journal of Numerical Analysis, 1980
  • Some piecewise polynomial alternatives to splines under tension, Computer Aided Geometric Design, 1974

It is one thing to have citations to your research but a whole different level of recognition is to have your research referred to in the title of a research publication.  Some examples are:

 Publications with Professor Nielson's name in the title:

"A Novel 3D Mesh Blind Watermarking Algorithm Based on Nielson Affine Invariant Norm", Jin Jianqiu, Wang Xun, Computer-Aided Design and Computer Graphics, 2007 10th IEEE International Conference, ISBN 978-1-4244-1579-3, pp 294-297

Nielson-type Transfinite triangular interpolants by means of quadratic enery functional optimization", Agoston Roth, arXiv:1604.01910v1 [math.NA] 7 Apr 2016

"A Modified Nielson's Side-Vertex Triangular Mesh Interpolation Scheme", Zhihong Mao

"The Geometric Meaning of Nielson's Affine Invariant Norm", by: Wendelin L., F. Degen and Volker Milbrandt, Computer Aided Geometric Design, Volume 15, Issue 1, December 1997, Pages 19-25.

Based upon citation counts (ref. Google Scholar) Prof. Nielson is in the top 5% in the areas of Visualization, Computer Graphics & Numerical Analysis and in the top 10% in Geometric Modeling.  Overall, based upon research statistics, he is in the top 5% of ASU faculty.

Nielson, Gregory M.; Hamann, Bernd (1991). Nielson, Gregory M.; Rosenblum, Larry, eds. The asymptotic decider: resolving the ambiguity in marching cubes. Proceedings of the 2nd conference on Visualization '91 (VIS '91). Los Alamitos, CA: IEEE Computer Society. pp. 83–91. ISBN 978-0-8186-2245-8.

Here is a list of some research papers with titles making reference to Prof. Nielson's research:

"A Modified Nielson's Side-Vertex Triangular Mesh Interpolation Scheme"
by: Zhihong Mao, Lizhuang Ma, and Wuzheng Tan;
in: O.Gervasi et al (Eds.) :ICCSA 2005, LNCS, 3480, pp. 776-785, 2005

"A Novel 3D Mesh Blind Watermarking Algorithm Based on Nielson Affine Invariant Norm,
by: Jin jianqiu, Wang Xun, Zhejiang Gongshang Univ. Hangzhou; in: Computer-Aided

Design and Computer Graphics, 2007 10th IEEE International Conference on:,
 ISBN: 978-1-4244-1579-3


"Nielson-type transfinite triangular interpolants
by means of quadratic energy functional optimizations"
by: Agoston Roth, arXiv:1604.01910v1 [math.NA] 7 Apr 2016

"The Geometric Meaning of Nielson's Affine Invariant Norm"
by: Wendelin L., F. Degen and Volker Milbrandt, Computer Aided Geometric Desing,
 Volume 15, Issue 1, December 1997, Pages 19-25

] [PDF] Real-time simulation of elastic objects in Virtual Environments using finite element method and precomputed Green's functions

…, M Göbel, S Klimenko, GM Nielson - … Workshop on Virtual …, 2002

 "Nielson-type transfinite triangular interpolants
by means of quadratic energy functional optimizations"
by: Agoston Roth, arXiv:1604.01910v1 [math.NA] 7 Apr 2016

Publications: 
  • Nielson, G.M., Techniques for Extracting and Modeling Geometric Features from Point Cloud Data Sets with Application to Urban Terrain Modeling, Studies in Computational Intelligence, Springer, 2012, Volume 374/2012, pp 175-195.

  • Gregory M. Nielson. Dual Marching Tetrahedra: Contouring in the Tetrahedronal Environment. International Symposium on Visual Computing (2008).
  • Gregory M. Nielson, Liyan Zhang, Kun Lee, Adam Huag. Spherical Parameterization of Marching Cubes Isosurfaces based upon Nearest Neighbor Coordinates. Journal of Computer Science and Technology (2008).
  • Gregory M. Nielson, Kun Lee. Adaptive, Implicit Modeling of Urban Terrain Point Cloud Data. Advanced Computing and Applications (0).
  • Gregory M. Nielson, Liyan Zhang, Kun Lee, Adam Huang. Parameterizing Marching Cubes Isosurfaces with Natural Neighbor Coordinates. Advances in Geometric Modeling and Processing (0).
  • Gregory M. Nielson, Bernd Hamamn, を組合せた曖昧さのないマーチング・キューブ法の整数化Asymptotic Deciderを組合せた曖昧さのないマーチング・キューブ法の整数化AN00349328
Research Activity: 
Fall 2021
Course NumberCourse Title
CSE 580Practicum
CSE 590Reading and Conference
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
CSE 799Dissertation
Spring 2021
Course NumberCourse Title
CSE 590Reading and Conference
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
CSE 799Dissertation
Fall 2020
Course NumberCourse Title
CSE 580Practicum
CSE 590Reading and Conference
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
CSE 799Dissertation
Spring 2020
Course NumberCourse Title
CSE 590Reading and Conference
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
CSE 799Dissertation
Fall 2019
Course NumberCourse Title
CSE 580Practicum
CSE 590Reading and Conference
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
CSE 799Dissertation
Spring 2019
Course NumberCourse Title
CSE 590Reading and Conference
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
CSE 799Dissertation
Fall 2018
Course NumberCourse Title
CSE 580Practicum
CSE 590Reading and Conference
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
CSE 799Dissertation
Summer 2018
Course NumberCourse Title
CSE 580Practicum
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
Spring 2018
Course NumberCourse Title
CSE 590Reading and Conference
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
CSE 799Dissertation
Fall 2017
Course NumberCourse Title
CSE 580Practicum
CSE 590Reading and Conference
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
CSE 799Dissertation
Summer 2017
Course NumberCourse Title
CSE 580Practicum
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
Spring 2017
Course NumberCourse Title
CSE 590Reading and Conference
CSE 595Continuing Registration
CSE 599Thesis
CSE 790Reading and Conference
CSE 792Research
CSE 795Continuing Registration
CSE 799Dissertation
Honors / Awards: 

Most Recent Award:

The 2013 Visualization Career Award, IEEE Computer Society

"In Recognition of 1) Seminal Research in Geometry/Topology-Based ModelingAlgorithms  for Visualization and for 2) Co-Founding the Visualization Conference and 3) Co-Founding the Journal "Transactions on Visualization & Computer Graphics."

Some excepts from acceptance speech:  " Some people suffer from Triskaidekaphobia which is the fear of the number  13.  In fact you may have noticed that some buildings don't even have a 13th floor. Actually, I am just the opposite.  I have triskaidecphilia, that is the love of the number 13.  The number 13 has always been lucky for me.  My birthday is the 13th, my wife's birthday in the 13th and here I am in 2013 accepting this prestigous Visualization Career Award (and BTW the word Visualization has 13 letters.  I recall the hectic times back in 1990 (yes, 10+13 years ago) when we had our very first Visualization Conference in San Francisco.  One of the keynote panelists didn't show up until just seconds before the panel was to begin. Anyway with a few bumps we got through the first conference which was the beginning of a very successful series which we are all enjoying today."   

Service: 
  • Computer Aided Geometric Design, Editorial Board (2008 - Present)
  • IEEE Technical Committee on Visualization & Computer Graphics, Director (2008 - Present)
  • International Workshop on Combinatorial Image Analysis, International Program Committee (2008 - Present)
  • National Science Foundation, Panel Reviewer (2008 - Present)
  • Pacific Graphics, International Program Committee (2008 - Present)
  • Volume Modeling, International Program Committee (2008 - Present)
  • Eurasian National University, Distinguished International Advisor (2007 - Present)