Rotation invariants of vector fields from orthogonal moments

0478329 - ÚTIA 2019 RIV GB eng J - Journal Article
Yang, B. - Kostková, Jitka - Flusser, Jan - Suk, Tomáš - Bujack, R.
Rotation invariants of vector fields from orthogonal moments.
Pattern Recognition. Roč. 74, č. 1 (2018), s. 110-121. ISSN 0031-3203. E-ISSN 1873-5142
R&D Projects: GA ČR GA15-16928S; GA ČR GA18-07247S
Institutional support: RVO:67985556
Keywords : Vector field * Total rotation * Invariants * Gaussian–Hermite moments * Zernike moments * Numerical stability
OECD category: Computer hardware and architecture
Impact factor: 5.898, year: 2018
http://library.utia.cas.cz/separaty/2017/ZOI/flusser-0478329.pdf

Vector field images are a type of new multidimensional data that appear in many engineering areas. Although the vector fields can be visualized as images, they differ from graylevel and color images in several aspects. To analyze them, special methods and algorithms must be originally developed or sub- stantially adapted from the traditional image processing area. In this paper, we propose a method for the description and matching of vector field patterns under an unknown rotation of the field. Rotation of a vector field is so-called total rotation, where the action is applied not only on the spatial coordinates but also on the field values. Invariants of vector fields with respect to total rotation constructed from orthogonal Gaussian–Hermite moments and Zernike moments are introduced. Their numerical stability is shown to be better than that of the invariants published so far. We demonstrate their usefulness in a real world template matching application of rotated vector fields.
Permanent Link: http://hdl.handle.net/11104/0274420