Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fundamental Limits in Multi-image Alignment   The performance of multi-image alignment, bringing different images into one
coordinate system, is critical in many applications with varied signal-to-noise
ratio (SNR) conditions. A great amount of effort is being invested into
developing methods to solve this problem. Several important questions thus
arise, including: Which are the fundamental limits in multi-image alignment
performance? Does having access to more images improve the alignment?
Theoretical bounds provide a fundamental benchmark to compare methods and can
help establish whether improvements can be made. In this work, we tackle the
problem of finding the performance limits in image registration when multiple
shifted and noisy observations are available. We derive and analyze the
Cram\'er-Rao and Ziv-Zakai lower bounds under different statistical models for
the underlying image. The accuracy of the derived bounds is experimentally
assessed through a comparison to the maximum likelihood estimator. We show the
existence of different behavior zones depending on the difficulty level of the
problem, given by the SNR conditions of the input images. We find that
increasing the number of images is only useful below a certain SNR threshold,
above which the pairwise MLE estimation proves to be optimal. The analysis we
present here brings further insight into the fundamental limitations of the
multi-image alignment problem.

9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int