Journal Article

FZJ-2020-01708

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Practically Lossless Affine Image Transformation

Pflugfelder, D. (Corresponding author)FZJ* ; Scharr, H.FZJ*

2020
IEEE New York, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/27837  doi:10.1109/TIP.2020.2982260

Abstract: In this contribution we introduce an almost lossless affine 2D image transformation method. To this end we extend the theory of the well-known Chirp-z transform to allow for fully affine transformation of general n-dimensional images. In addition we give a practical spatial and spectral zero-padding approach dramatically reducing losses of our transform, where usual transforms introduce blurring artifacts due to sub-optimal interpolation. The proposed method improves the mean squared error by approx. a factor of 1800 compared to the commonly used linear interpolation, and by a factor of 250 to the best competitor. We derive the transform from basic principles with special attention to implementation details and supplement this paper with python code for 2D images. In demonstration experiments we show the superior image quality compared to usual approaches, when using our method. However runtimes are considerably larger than when using toolbox algorithms.

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Contributing Institute(s):

1. Pflanzenwissenschaften (IBG-2)

Research Program(s):

1. 582 - Plant Science (POF3-582) (POF3-582)
2. DPPN - Deutsches Pflanzen Phänotypisierungsnetzwerk (BMBF-031A053A) (BMBF-031A053A)

Appears in the scientific report 2020

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Database coverage:
; ; Clarivate Analytics Master Journal List ; Current Contents - Engineering, Computing and Technology ; Ebsco Academic Search ; IF >= 5 ; JCR ; NCBI Molecular Biology Database ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection

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