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"
}