Publication result detail
Search for Similarity Transformation Between Image Point Clouds Using Geometric Algebra for Conics
DEREVIANKO, A.; VAŠÍK, P.
Original Title
Search for Similarity Transformation Between Image Point Clouds Using Geometric Algebra for Conics
English Title
Search for Similarity Transformation Between Image Point Clouds Using Geometric Algebra for Conics
Type
Paper in proceedings (conference paper)
Original Abstract
We introduce a novel way of searching for the similarity transformation of pictures using Geometric Algebra for Conics (GAC). In our approach, we do not represent the image objects by their contour but, instead, by the ellipse fitted into the contour points. Such representation makes the consequent similarity search fast and memory-saving and makes the search for the needed transformation easier. Examples of application on the real object images are also included.
English abstract
We introduce a novel way of searching for the similarity transformation of pictures using Geometric Algebra for Conics (GAC). In our approach, we do not represent the image objects by their contour but, instead, by the ellipse fitted into the contour points. Such representation makes the consequent similarity search fast and memory-saving and makes the search for the needed transformation easier. Examples of application on the real object images are also included.
Keywords
geometric algebra; Clifford algebra; transformation; picture comparison; image processing
Key words in English
geometric algebra; Clifford algebra; transformation; picture comparison; image processing
Authors
DEREVIANKO, A.; VAŠÍK, P.
RIV year
2025
Released
08.05.2024
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Location
CHAM
ISBN
978-3-031-34031-4
Book
Advanced Computational Applications of Geometric Algebra
Edition
Lecture Notes in Computer Science
Volume
13771
Pages from
15
Pages to
26
Pages count
12
BibTex
@inproceedings{BUT188554,
author="Anna {Derevianko} and Petr {Vašík}",
title="Search for Similarity Transformation Between Image Point Clouds Using Geometric Algebra for Conics",
booktitle="Advanced Computational Applications of Geometric Algebra",
year="2024",
series="Lecture Notes in Computer Science",
volume="13771",
number="13771",
pages="15--26",
publisher="SPRINGER INTERNATIONAL PUBLISHING AG",
address="CHAM",
doi="10.1007/978-3-031-34031-4\{_}2",
isbn="978-3-031-34031-4"
}