Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Angles Between Two Images

Version 1 : Received: 31 March 2021 / Approved: 31 March 2021 / Online: 31 March 2021 (12:42:31 CEST)

How to cite: Garnadi, A.D.; Mas'oed, T.W. On Angles Between Two Images. Preprints 2021, 2021030767 (doi: 10.20944/preprints202103.0767.v1). Garnadi, A.D.; Mas'oed, T.W. On Angles Between Two Images. Preprints 2021, 2021030767 (doi: 10.20944/preprints202103.0767.v1).

Abstract

An image consisting of (m, n) pixels can be seen as a matrix of m × n size. Based on the formula of angles between two subspaces, a pair of angles can be defined between two matrices, by utilizing column spaces and row spaces of the two matrices. The singular values of each matrix can be used to calculate distances. Thus, a distance representation is obtained, and a pair of angles between 2 matrices of the same size.

Subject Areas

Images; matrices; angles; subspace; linear algebra applications

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