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Description:
Columbia University Spring 2007 Semester Course on Discrete Differential Geometry
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Paper, spaghetti, and shark fins---Basile Audoly Tuesday 8 May
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What do they have in common? Find out: Basile Audoly is visiting our group. His interest is in the geometry of elastic (and inelastic) deformations, and in the patterns that emerge from fracture, tearing, etc. Basile's group solved a famous question asked by Richard Feynman----"why does spaghetti break in... more »
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No Class Tuesday April 17
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It has been brought to my attention that the current month is not November. For those who are curious, the current month is April. Class will resume on April 19.
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No Class NOV 17
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Due to the SCA conference deadline, our next class will be on Thurs Nov 19.
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Computing Energy
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There is a subtle issue with how you compute the total energy: Consider time discretized by the tick marks 0, h, 2h, 3h, 4h..... Consider a "dual grid" of tick marks 0.5h, 1.5h, 2.5h, ..... For the forward-backward Euler method, velocity is assumed to be piecewise constant over each interval [kh, (k+1)h] of the primal grid,... more »
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Homework 2
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The deadline for homework 2 has been extended by a week. It will be due next Tuesday 3/10/07. Akash
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Office Hours Today
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Dear Class, There are "special" office hours at 2pm today to answer any questions about time integration. Is anyone planning to come? Please let me know. Akash
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No DDG Class Today
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Today's class is being (unexpectedly) postponed until Thursday. See you on Thursday.
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View this page "Useful Papers"
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I posted links to two papers that might be useful in completing assignment 2. Click on [link] - or copy & paste it into your browser's address bar if that doesn't work.
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View this page "Vertex Picking Code"
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There is code online that does vertex picking for you. Please take a look, it is baed on the GLUTViewer program I provided for the first assignment. I also posted a link to an article that outlines how to do vertex picking (which is very easy to implement), in case you are not using my GLUTViewer program.... more »
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Questions about the hw2 -- energy and force computation
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Hi all: According to the paper,the computation of the bending energy can be computed by Wb(x) and so the force can be derived by differentiating Wb(x). As for the stretching energy, I think it's the membrane energy listed on the paper, so the same for the force. Am I right? So to display the stretching and bending force on each vertex, I... more »
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