Algebra

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Algebra
(Schomaker, Segers, Vuurpijl, Mackowiak, 1996)
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image million
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million processed
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regulariteiten
Regelmatigheden
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singulariteiten
Singulariteiten
Regelmatigheden
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JC-Simon
"million" gt convexconcave3(northconcave
) (northLOOP)concave(northLOOP)
concavenorth concaveHOLE
2(convexconcave)
(J.-C. Simon, 1989)
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menselijk lezen
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allografen t
(Vuurpijl Schomaker, 1997)
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kenmerkenlogica
All x with feature F1, F2 and not F3, F4,
x has(x,F1) has(x,F2) has(x, F3)
has(x,F4)
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Halendefinitie
Stroke definition
(Teulings, Maarse, Thomassen, van Galen,
Hulstijn, Schomaker e.v.a.)
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Newton handtekeningen
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Newton tijdschatting
100 ms per stroke, also for Isaac Newton
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KohSom
Kohonen SOM of strokes
(Morasso, Schomaker, 1990-1993)
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woordtraject
Probabilistic Stroke-Transition Network
(Schomaker, 1993)
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Sensory input
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Kenmerken
F2
low-dimensional feature representation
F1
high-dimensional sensory representation
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aud 2kenmerken
F2
F1
F1 angle phi
F2 distance r
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? a, u or d?
Prob / Cost
Patterns
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Symbols ( a u d)
Prob / Cost
Patterns
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logic
Symbols ( a u d)
Prob / Cost
geometry
Patterns
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F1 Phi
F2 r
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d
F1 phi
u
a
F2 r