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Resolution loss

Resolution loss. Error-correcting schemes mentioned above always generates a resolution loss. Compact proofreading [Sahu, Reif, Yin ’04] is proposed to remove the resolution loss.

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Resolution loss

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  1. Resolution loss • Error-correcting schemes mentioned above always generates a resolution loss. • Compact proofreading [Sahu, Reif, Yin ’04] is proposed to remove the resolution loss. • However, [Soloveichik, Winfree ’05] showed that compact proofreading requires increasing number of tiles exponentially. • We propose “dimension augmentation” technique to solve this problem.

  2. O E O E E O E E E O O O E O O O E O E E E E O O O E E E E E O O O O O E Dimension Augmentation k The original system Odd and even duplicates k duplicates on the third dimension

  3. Dimension Augmentation • No resolution loss in the original two dimensions. • Increase the number of tiles linearly. • Provably correct for an example tile system called “parity system” • Correctness in general remains open.

  4. Barish, Rothermund, Winfree, 2005

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