CS 284: CAGD 
Lecture #18 -- Th 10/26, 2006.

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Preparation: -- BR'92: "The Surface Evolver" K. Brakke  - skip Sections  3.4, 3.5, 4.2, 4.8, 5.4, 5.5, 6.2, 6.7, 9, 10.

First Paper Presentation by Ian Sammis

How you will be using the Evolver program to find a minimum energy shape for your genus-L surface.

Start preparing for the 5-minute formal Project Proposal Presentations on November 2.
("Venture Capitalist Rally" -- How to get the "gold".)

Format: Content:
Check list and rating sheet:

Tonight, midnight:  Due:  Definitive 1-page project proposals (e-mail)!

Reading Assignment:

BS'92 "Minimizing the Squared Mean Curvature Integral …" Hsu et al
"Marching Cubes ...". Lorensen and Cline

Current Homework Assignment:  Make a genus-L Surface with DLh Symmetry (Phase 1)

Generate a rough polyhedral surface of genus-L, where L is the number of letters in your first name.
The surface should have DLh symmetry; i.e. L-fold rotational symmetry around the z-axis, as well as
mirror symmetry across the x-y-plane and across L planes that comprise the z-axis.
Build only the fundamental domain of this surface; i.e.  1 / 4L  of the total object. 
Keep it as simple as possible; i.e. use only 3-5 quadrilaterals or about twice as many triangles.
This piece of polyhedral surface then get's suitably mirrored and replicated to form the whole closed, watertight genus-L surface.
Start from the basic set-up in  GenusL_SymmDLh.slf 
All you have to do in this file is: replace the two place-holder quadrilaterals and adjust the replication number in the final surface assembly.
In the next phase of the assignment we will then convert this surface piece into the format of Brakke's Surface Evolver
and experiment with it.
The goal is to find the surface of lowest bending energy while maintaining the specified genus and symmetries.

DUE:  Tuesday, October 31, 2:10pm.

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