Top

Published in:

2019 | OriginalPaper | Chapter

Colour Image Segmentation by Region Growing Based on Conformal Geometric Algebra

Authors : Jaroslav Hrdina, Radek Matoušek, Radek Tichý

Published in: Advances in Computer Graphics

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

We apply conformal geometric algebra (CGA) to classical algorithms for colour image segmentation. Particularly, we modify standard Prewitt quaternionic filter for edge detection and region growing segmentation procedure and use them simultaneously, which is only allowed by common CGA language, more precisely by the notion of flat point in normalised and unnormalised form.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

previous chapter Automatic Normal Orientation in Point Clouds of Building Interiors

next chapter GAC Application to Corner Detection Based on Eccentricity

Busin, L., Vandenbroucke, N., Macaire, L.: Color spaces and image segmentation. Adv. Imaging Electron Phys. 151, 65–168 (2008)CrossRef

Dorst, L., Fontijne, D., Mann, S.: Geometric Algebra for Computer Science: An Object-Oriented Approach to Geometry, 1st edn. Morgan Kaufmann Publishers Inc., San Francisco (2007)

Hildenbrand, D.: Foundations of Geometric Algebra Computing, 1st edn. Springer, Hiedelberg (2013). https://doi.org/10.1007/978-3-642-31794-1CrossRefMATH

Hildenbrand, D.: Introduction to Geometric Algebra Computing. CRC Press, Taylor & Francis Group, Boca Raton (2019)MATH

Hrdina, J., Návrat, A., Vašík, P., Matoušek, R.: CGA-based robotic snake contol. Adv. Appl. Clifford Algebr. 27(1), 621–632 (2017). https://doi.org/10.1007/s00006-016-0695-5MathSciNetCrossRefMATH

Hrdina, J., Návrat, A., Vašík, P.: Geometric algebra for conics. Adv. Appl. Clifford Algebr. 28, 66 (2018). https://doi.org/10.1007/s00006-018-0879-2MathSciNetCrossRefMATH

Hrdina, J., Návrat, A.: Binocular computer vision based on conformal geometric algebra. Adv. Appl. Clifford Algebr. 27(3), 1945–1959 (2017)MathSciNetCrossRef

Hrdina, J., Vašík, P., Matoušek, R., Návrat, A.: Geometric algebras for uniform colour spaces. Math. Methods Appl. Sci. 41(11), 4117–4130 (2018). https://doi.org/10.1002/mma.4489MathSciNetCrossRefMATH

Janku, P., Kominkova Oplatkova, Z., Dulik, T., Snopek, P., Liba, J.: Fire detection in video stream by using simple artificial neural network. MENDEL 24(2), 55–60 (2018)CrossRef

10.

Ohta, N., Robertson, A.R.: Colorimetry: Fundamentals and Applications, 6th edn. Wiley, New York (2005)CrossRef

11.

Oleari, C.: Standard Colorimetry: Definitions, Algorithms, and Software, 1st edn. Wiley, Hoboken (2016)

12.

Perwass, C.: Geometric Algebra with Applications in Engineering, 1st edn. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-540-89068-3CrossRefMATH

13.

Sangwine, S.J., Hitzer, E.: Clifford multivector toolbox (for MATLAB). Adv. Appl. Clifford Algebr. 27, 539–558 (2017). https://doi.org/10.1007/s00006-016-0666-xMathSciNetCrossRefMATH

14.

Ell, T.A., Le Bihan, N., Sangwine, S.: Quaternion Fourier Transforms for Signal and Image Processing. FOCUS Series Periodical. Wiley-ISTE, Hoboken (2014)CrossRef

Title: Colour Image Segmentation by Region Growing Based on Conformal Geometric Algebra
Authors: Jaroslav Hrdina
Radek Matoušek
Radek Tichý
Publisher: Springer International Publishing
Book: Advances in Computer Graphics
Print ISBN: 978-3-030-22513-1

Electronic ISBN: 978-3-030-22514-8

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-030-22514-8_56

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"