Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Image Reconstruction using Matched Wavelet Estimated from Data Sensed
  Compressively using Partial Canonical Identity Matrix   This paper proposes a joint framework wherein lifting-based, separable,
image-matched wavelets are estimated from compressively sensed (CS) images and
used for the reconstruction of the same. Matched wavelet can be easily designed
if full image is available. Also matched wavelet may provide better
reconstruction results in CS application compared to standard wavelet
sparsifying basis. Since in CS application, we have compressively sensed image
instead of full image, existing methods of designing matched wavelet cannot be
used. Thus, we propose a joint framework that estimates matched wavelet from
the compressively sensed images and also reconstructs full images. This paper
has three significant contributions. First, lifting-based, image-matched
separable wavelet is designed from compressively sensed images and is also used
to reconstruct the same. Second, a simple sensing matrix is employed to sample
data at sub-Nyquist rate such that sensing and reconstruction time is reduced
considerably without any noticeable degradation in the reconstruction
performance. Third, a new multi-level L-Pyramid wavelet decomposition strategy
is provided for separable wavelet implementation on images that leads to
improved reconstruction performance. Compared to CS-based reconstruction using
standard wavelets with Gaussian sensing matrix and with existing wavelet
decomposition strategy, the proposed methodology provides faster and better
image reconstruction in compressive sensing application.

29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph