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» Filled Julia Sets with Empty Interior Are Computable
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FOCM
2007
83views more  FOCM 2007»
13 years 4 months ago
Filled Julia Sets with Empty Interior Are Computable
We show that if a polynomial filled Julia set has empty interior, then it is computable.
Ilia Binder, Mark Braverman, Michael Yampolsky
STOC
2007
ACM
94views Algorithms» more  STOC 2007»
14 years 5 months ago
Constructing non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky
CORR
2004
Springer
90views Education» more  CORR 2004»
13 years 4 months ago
Non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky
CG
2004
Springer
13 years 4 months ago
Views of Fibonacci dynamics
The Binet formula gives a natural way for Fibonacci numbers to be viewed as a function of a complex variable. We experimentally study the complex dynamics of the Fibonacci numbers...
Clifford A. Reiter
SIGGRAPH
2000
ACM
13 years 9 months ago
Conservative volumetric visibility with occluder fusion
Visibility determination is a key requirement in a wide range of graphics algorithms. This paper introduces a new approach to the computation of volume visibility, the detection o...
Gernot Schaufler, Julie Dorsey, Xavier Déco...