Publication detail

Search for Similarity Transformation Between Image Point Clouds Using Geometric Algebra for Conics

DEREVIANKO, A. VAŠÍK, P.

English title

Search for Similarity Transformation Between Image Point Clouds Using Geometric Algebra for Conics

Type

conference paper

Language

en

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 in English

geometric algebra; Clifford algebra; transformation; picture comparison; image processing

Released

08.05.2024

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG

Location

CHAM

ISBN

978-3-031-34031-4

Book

Advanced Computational Applications of Geometric Algebra

Volume

13771

Edition number

13771

Pages from–to

15–26

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",
  volume="13771",
  month="May",
  pages="15--26",
  publisher="SPRINGER INTERNATIONAL PUBLISHING AG",
  address="CHAM",
  isbn="978-3-031-34031-4"
}