Publication detail

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

DEREVIANKO, A. LOUČKA, 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 2D point clouds 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. 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 2D point clouds 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. Examples of application on the real object images are also included.

Keywords in English

Geometric algebra; Clifford algebra; Transformation; Point cloud; Image processing

Released

02.04.2022

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG

Location

CHAM

ISBN

978-3-030-98259-1

Book

Modelling and Simulation for Autonomous Systems

Volume

13207

Pages from–to

215–226

Pages count

12

BIBTEX


@inproceedings{BUT177873,
  author="Anna {Derevianko} and Pavel {Loučka},
  title="Search for Similarity Transformation Between Image Point Clouds Using Geometric Algebra for Conics",
  booktitle="Modelling and Simulation for Autonomous Systems",
  year="2022",
  volume="13207",
  month="April",
  pages="215--226",
  publisher="SPRINGER INTERNATIONAL PUBLISHING AG",
  address="CHAM",
  isbn="978-3-030-98259-1"
}