Outside of office hours or lectures, your best shot at contacting me is to try my office between 3 pm and midnight on Monday, Wednesday, or Friday, in person or by phone. Those are the ideal times to ask me about research, coursework, or anything else. Sadly, Soda Hall is locked after 6:30, and the Visual Computing Lab that houses my office is always locked, so call my office if you want to visit and don't have a keycard. While you're by, ask me to make a pot of tea. I get teas from Upton Tea Imports, a first-rate importer in Massachusetts, and I enjoy introducing people to the good stuff.
Mornings I sleep. Attempts to phone me then are futile.
If you are considering applying for graduate school or a postdoctoral position in the Computer Science Division, please read this note.
A C program for aggressively improving the quality of tetrahedral meshes,
making them suitable for finite element analysis.
Stellar routinely improves meshes so that the smallest dihedral angle is larger
than 30 degrees and the largest dihedral angle is smaller than 140 degrees.
to obtain the source code, hypertext instructions, and
publications describing its algorithms.
Software tools for processing huge meshes and point sets,
including Delaunay triangulation construction in two or three dimensions
and computations for GIS (Geographic Information Systems).
Need to triangulate billions of points, or use them
to construct elevation maps and isocontours, on an ordinary computer?
Martin Isenburg, I, and our collaborators have streaming tools for
constructing huge Delaunay triangulations,
constructing Digital Elevation Maps and isolines,
processing LIDAR data in LAS format, and
visualizing LIDAR data in Google Earth.
Our algorithms for processing gobs of data are discussed in several papers on
EXACT ARITHMETIC AND ROBUST
I've written a set of fast routines for exact floating-point
addition and multiplication, which I've used to create
fast correct geometric predicates, namely the two- and three-dimensional
orientation and incircle tests.
These predicates are used to make the Delaunay triangulation routines
in Triangle and Star robust against roundoff error.
Robust Predicates page for more information, for papers,
or to obtain the C source code.
Here's a self-contained summary of some of my research.
This is the fastest way to learn a bit about my work.
THREE SINS OF AUTHORS IN COMPUTER SCIENCE AND MATH. A short crotchety essay that will improve your technical writing, or annoy you trying. You won't find these sins decried in the usual books of writing advice.
While you're at it, you might be interested in my (less snarky) advice on
Giving an Academic
The Quake Project is a multidisciplinary Grand Challenge Application
Group studying ground motion in large basins during strong earthquakes,
with the goal of characterizing the seismic response of the Los Angeles basin.
We created some of the largest unstructured finite element
simulations ever performed.
CS 274: COMPUTATIONAL GEOMETRY
Geometric algorithms, analyses, and applications.
Polygons, polytopes, triangulations, planar and spatial subdivisions,
convex hulls, halfspace intersections, Voronoi diagrams,
Delaunay triangulations, arrangements of lines and hyperplanes.
Geometric queries (databases, point location), binary space partitions,
robot motion planning, cartography, solid modeling,
small-dimensional linear programming, and more.
CS 189 / CS 289A: INTRODUCTION TO MACHINE
The study of how computers can “learn”
by finding patterns in data and using them to make predictions.
Covers supervised learning methods such as classification and regression, and
unsupervised learning methods such as clustering, dimensionality reduction, and
CS 170: EFFICIENT ALGORITHMS AND
INTRACTABLE PROBLEMS (Spring 2001).
The study of advanced algorithms, including graph algorithms,
dynamic programming, linear programming, matrix multiplication,
and number theory, plus an introduction to the theory of
CS 61B: DATA STRUCTURES
An introduction to data structures (lists, trees, hash tables, graphs, etc.),
simple algorithms (searching and sorting), encapsulation,
and the language Java.
CS 4 aka CS 39L: INTRODUCTION TO COMPUTING FOR
ENGINEERS (Spring 2006).
An introductory computer programming class that employs
examples from engineering and science.
An alternative to CS 3, taught in the language Java.
MARC KHOURY in May 2020 completed his Ph.D. on restricted constrained Delaunay triangulations and the geometry of adversarial examples. Read his dissertation, Geometric Sampling Theory, Triangulations, and Robust Machine Learning. He now works at Hudson River Trading.
BRYAN KLINGNER in November 2008 completed his Ph.D. on tetrahedral mesh improvement algorithms and physical simulations with dynamically changing geometry. Read his dissertation, Improving Tetrahedral Meshes. He now works at Google.
in December 2005 completed his Ph.D. on surface reconstruction algorithms,
surface reconstruction, scan registration,
moving least squares interpolation for generating implicit surfaces
(which won the Best Student Paper Award
at the 2005 Symposium on Discrete Algorithms),
and the very cool
Read his dissertation,
Range Images to 3D Models.
He now works at Google.
FRANÇOIS LABELLE in August 2007 completed his Ph.D. on tetrahedral mesh generation algorithms with guaranteed dihedral angles (notably isosurface stuffing). Read his dissertation, Tetrahedral Mesh Generation with Good Dihedral Angles Using Point Lattices. During his time at Berkeley, he also did lovely work in anisotropic mesh generation.
in May 2008 completed her M.S. on
robust anisotropic mesh generation in the plane.
Read her thesis,
Guaranteed-Quality Anisotropic Mesh Generation.
CALVIN AND HOBBES AND
CARNEGIE MELLON UNIVERSITY'S
SCHOOL OF COMPUTER SCIENCE.
My t-shirt design for the 1994 Immigration Course.
For printing, here's the
full-size version (3553 x 5861, 621k GIF),
which is also a 600 dpi scan of a sheet of legal-size paper.
Meanwhile, a new picture is emerging in which the “diseases of civilization&rdquo—heart disease, diabetes, overweight, tooth decay, and perhaps even Alzheimer's disease and many cancers—are symptoms of a metabolic dysfunction caused by both the wrong foods and deficiencies of the right ones. The most likely culprits appear to be metabolism-disrupting lectins in grains (especially wheat, other gluten grains, and soy); fructose (often in the form of high fructose corn syrup, from grain); omega-6 fats and lectins in vegetable seed oils (also from grain); iron; and deficiencies of Vitamin D3, Vitamin K2 MK-4, copper, omega-3 fats, magnesium, and niacin. It is not yet clear whether carbohydrates in large amounts are inherently harmful, though they are clearly harmful to many people who have broken their metabolisms with grain products. (If there is a safe carbohydrate source, it is probably root vegetables.)
Consumption of grains, vegetable seed oils, fructose, and carbohydrates has risen sharply, and intake of Vitamin K2 MK-4 has dropped, in response to official demonization of dietary saturated fat, causing increases of type 2 diabetes and obesity. The American Medical Association, the American Heart Association, the American Diabetes Association, and many other authorities have blood on their hands, and they will continue to lead us lambs into the slaughterhouse of grain poisoning until the culture of nutritional research is reformed.
While I've been aware of these facts for some time, I now have a rigorous account to direct people to. Gary Taubes, in Good Calories, Bad Calories—his new exposé of what the scientific data really reveal—writes, “The institutionalized vigilance, ‘this unending exchange of critical judgment,’ is nowhere to be found in the study of nutrition, chronic disease, and obesity, and it hasn't been for decades. For this reason, it is difficult to use the term ‘scientist’ to describe those individuals who work in these disciplines. … The result is an enormous enterprise dedicated in theory to determining the relationship between diet, obesity, and disease, while dedicated in practice to convincing everyone involved, and the lay public, most of all, that the answers are already known and always have been—an enterprise, in other words, that purports to be a science and yet functions like a religion.” Harsh words, but words entirely justified by the data in the research literature—though the papers that present those data often go through great contortions to explain them away and defend the dogma.
I call upon the National Institutes of Health (NIH) to fund large randomized
controlled trials that test the hypothesis that grain-derived carbohydrates
are central in the etiology of coronary heart disease, diabetes, and obesity.
Over the past two decades, the NIH has dedicated its largest nutritional grants
to unsuccessfully confirming the “fat is bad” hypothesis, while
neglecting all competing hypotheses. We are all suffering for this
misallocation of resources.
“In my psychedelic, hazy-vision state, where I reach the ultimate
heightened awareness of the beer-buzz, I realise the true meaning of exams:
that professors are evil, torture-loving beings, and that we cannot blame them
for their shortcomings.”
— Rob Chung
“We need a more lasting form of negative feedback than just
— Jonathan Hardwick on research