Response to the comments on "Fundamental limits of reconstruction-based superresolution algorithms under local translation"

Zhouchen Lin; Heung Yeung Shum

doi:10.1109/TPAMI.2006.105

Response to the comments on "Fundamental limits of reconstruction-based superresolution algorithms under local translation"

Zhouchen Lin^*, Heung Yeung Shum

^*Corresponding author for this work

Research output: Contribution to journal › Comment/debate

9 Citations (Scopus)

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].

Original language	English
Pages (from-to)	847
Number of pages	1
Journal	IEEE Transactions on Pattern Analysis and Machine Intelligence
Volume	28
Issue number	5
DOIs	https://doi.org/10.1109/TPAMI.2006.105
Publication status	Published - May 2006
Externally published	Yes

Keywords

Perturbation theory
Reconstruction-based algorithms
Superresolution

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10.1109/TPAMI.2006.105

Cite this

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title = "Response to the comments on {"}Fundamental limits of reconstruction-based superresolution algorithms under local translation{"}",

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].",

keywords = "Perturbation theory, Reconstruction-based algorithms, Superresolution",

author = "Zhouchen Lin and Shum, \{Heung Yeung\}",

year = "2006",

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TY - JOUR

T1 - Response to the comments on "Fundamental limits of reconstruction-based superresolution algorithms under local translation"

AU - Lin, Zhouchen

AU - Shum, Heung Yeung

PY - 2006/5

Y1 - 2006/5

N2 - 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].

AB - 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].

KW - Perturbation theory

KW - Reconstruction-based algorithms

KW - Superresolution

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000235885700018

UR - https://www.scopus.com/pages/publications/33645152424

U2 - 10.1109/TPAMI.2006.105

DO - 10.1109/TPAMI.2006.105

M3 - Comment/debate

SN - 0162-8828

VL - 28

SP - 847

JO - IEEE Transactions on Pattern Analysis and Machine Intelligence

JF - IEEE Transactions on Pattern Analysis and Machine Intelligence

IS - 5

ER -

Response to the comments on "Fundamental limits of reconstruction-based superresolution algorithms under local translation"

Abstract

Keywords

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