Response to the Comments on "Fundamental Limits of Reconstruction-Based Superresolution Algorithms under Local Translation'

Authors:
Zhouchen Lin;Heung-Yeung Shum
Affiliations:
IEEE;IEEE
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
2006

Citing 4
Cited 0

Matrix computations (3rd ed.)

Matrix computations (3rd ed.)
Limits on Super-Resolution and How to Break Them

IEEE Transactions on Pattern Analysis and Machine Intelligence
Fundamental Limits of Reconstruction-Based Superresolution Algorithms under Local Translation

IEEE Transactions on Pattern Analysis and Machine Intelligence
Comments on "Fundamental Limits of Reconstruction-Based Superresolution Algorithms under Local Translation'

IEEE Transactions on Pattern Analysis and Machine Intelligence

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Abstract

Wang and Feng [1] pointed out that the deduction in [2] overlooked the validity of the perturbation theorem used in [2]. In this paper, we show that, when the perturbation theorem is invalid, the probability of successful superresolution is very low. Therefore, we only have to derive the limits under the condition that validates the perturbation theorem, as done in [2].