Abstract
Image reconstruction can help to determine how well an image may be characterized by a small finite set of its moments. Also, we can identify the number of descriptors needed to describe an image. In this work, we present a comparative analysis using different set of discrete orthogonal moments in terms of normalized image reconstruction error (NIRE). Color image reconstruction is performed with different color channels and various orders of different discrete orthogonal moments. Finally the results obtained by the reconstruction of three color images with different families of orthogonal moments and an error analysis to compare their capacity of description are presented, also the conclusions obtained from this work are presented.
Highlights
Nowadays, all digital cameras acquire chromatic images, which are capable of recording complex details
We present a comparative analysis using different set of discrete orthogonal moments in terms of normalized image reconstruction error (NIRE)
Color image reconstruction is performed with different color channels and various orders of different discrete orthogonal moments
Summary
All digital cameras acquire chromatic images, which are capable of recording complex details. The classical discrete orthogonal moments such as Tchebichef [5], Krawtchouk [6], Hahn [7], Meixner [8], Charlier [9] and Racah [10] [11] moments are defined in the coordinate space of the image and preserve the orthogonality condition [7]. Has recently been analyzed color images with images reconstruction from the different channels by orthogonal moments such as Charlier [9] and Racah [10] moments. In this article we present an analysis based on a reconstruction error of color images using different orders of moments, which allows knowing the capacity of reconstruction with different set of classical orthogonal moments is analyzed, the recovery error graphs that were obtained are presented
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