Affine Invariants of Vector Fields

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F21%3A00518086" target="_blank" >RIV/67985556:_____/21:00518086 - isvavai.cz</a>

Result on the web

<a href="https://ieeexplore.ieee.org/abstract/document/8892626" target="_blank" >https://ieeexplore.ieee.org/abstract/document/8892626</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/TPAMI.2019.2951664" target="_blank" >10.1109/TPAMI.2019.2951664</a>

Result language

angličtina

Original language name

Affine Invariants of Vector Fields

Original language description

Vector fields are a special kind of multidimensional data, which are in a certain sense similar to digital color images, but are distinct from them in several aspects. In each pixel, the field is assigned to a vector that shows the direction and the magnitude of the quantity, which has been measured. To detect the patterns of interest in the field, special matching methods must be developed. In this paper, we propose a method for the description and matching of vector field patterns under an unknown affine transformation of the field. Unlike digital images, transformations of vector fields act not only on the spatial coordinates but also on the field values, which makes the detection different from the image case. To measure the similarity between the template and the field patch, we propose original invariants with respect to total affine transformation. They are designed from the vector field moments. It is demonstrated by experiments on real data from fluid mechanics that they perform significantly better than potential competitors.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

<a href="/en/project/GA18-07247S" target="_blank" >GA18-07247S: Methods and Algorithms for Vector and Tensor Field Image Analysis</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

IEEE Transactions on Pattern Analysis and Machine Intelligence

ISSN

0162-8828

e-ISSN

1939-3539

Volume of the periodical

43

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

1140-1155

UT code for WoS article

000626525300003

EID of the result in the Scopus database

2-s2.0-85074863872