Graduate Student Visit Day, 03/12/07 Aesthetic Engineering Artistic Geometry Carlo H. Séquin...
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Transcript of Graduate Student Visit Day, 03/12/07 Aesthetic Engineering Artistic Geometry Carlo H. Séquin...
Graduate Student Visit Day, 03/12/07Graduate Student Visit Day, 03/12/07
Aesthetic Engineering
Artistic Geometry
Carlo H. Séquin
University of California, Berkeley
A designer for 30 years…A designer for 30 years…
CCD TV Camera Soda Hall
RISC 1 Computer Chip Octa-Gear (Cyberbuild)
MATH: Graph-Embedding ProblemsMATH: Graph-Embedding Problems Draw K12 crossing-free
onto a smooth surface with maximal symmetry.
Requires a genus-6 surface.
CAD: Curve and Surface OptimizationCAD: Curve and Surface Optimization
Clothoids (Euler spirals, Cornu spirals)
for interactive font design (and other CAD)
k s
CAD: Surface OptimizationCAD: Surface Optimization
e.g.:minimize area integralover the square of the total change of curvature.
Compare and characterize different possible functionals.
The quest for some “Beauty Functionals”
based on curvature and its derivatives.
(Future) Surface Design Environments(Future) Surface Design Environments
User specifies boundary conditions and possibly other constraints.
User selects a suitable “beauty” functional.
CAD system finds best solution in seconds.
ART: Collaboration with ArtistsART: Collaboration with Artists
How can we use the visualization power offered by computer graphics and by computer-controlled rapid prototyping for the design of geometrical sculptures?
Pax Mundi 2 Pax Mundi 2 (Kansas City, 2007) (Kansas City, 2007)
5-inch FDM maquette 10-foot bronze sculpture
Ongoing Research InterestOngoing Research Interest
CAD tools for Ideation, Informal Prototyping: Mimick the best of: clay, wire, paper, scotch-tape, styrofoam …
Without the adversity of: messy glue, gravity, strength limits …
Make available pseudo-physical materials that bend as nicely as steel wire, and stretch like a nylon hose, but are strong as titanium, and as transparent as quartz …