DYNAMIC PROGRAMMING FOR CURVED REFLECTION SYMMETRY DETECTION IN SEGMENTED IMAGES
Abstract. This study proposes a method for detecting curved reflection symmetry in binary and grayscale images. The crucial step is to construct a curvilinear symmetry axis generating a nonlinear transformation of the image coordinates that projects the curve on the Y axis and makes the image maximally symmetric about this axis in terms of the Jaccard index. We proposed analytical estimations for the symmetry axis curvature to make the transform bijective. We applied dynamic programming to construct the curvilinear symmetry axis. The axis points are generated one by one with a local direction change at each point. To improve the computational efficiency of the method for images of a given size, we construct a graph of possible transitions in advance. To estimate the symmetry in grayscale images, we proposed two analogs to the Jaccard index. The experiments with image libraries demonstrated that the method correctly handles images containing a single object on a homogeneous background.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
DYNAMIC PROGRAMMING FOR CURVED REFLECTION SYMMETRY DETECTION IN SEGMENTED IMAGES ; volume:XLVIII-2/W3-2023 ; year:2023 ; pages:157-163 ; extent:7
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences ; XLVIII-2/W3-2023 (2023), 157-163 (gesamt 7)
- Urheber
-
Lomov, N.
Seredin, O.
- DOI
-
10.5194/isprs-archives-XLVIII-2-W3-2023-157-2023
- URN
-
urn:nbn:de:101:1-2023051804325774496645
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
14.08.2025, 10:47 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Lomov, N.
- Seredin, O.
Ähnliche Objekte (12)
Curved accretion disks around rotating black holes without reflection symmetry
A theoretical approach to zero-reflection toroidal curved metasurfaces
Mu-tau reflection symmetry with a texture-zero
Breakings of the neutrino μ-τ reflection symmetry
Exploiting Symmetry in High-Dimensional Dynamic Programming
Quantum consistency in supersymmetric theories with R-symmetry in curved space
Winding modes and the reflection symmetry in AdS3
Reflection on the differences between modeling and programming
Reflection on the differences between modeling and programming
Lifting symmetry breaking constraints with inductive logic programming
Mu-tau reflection symmetry with a high scale texture-zero
Three-dimensional $$\mathbb Z}}$$ Z topological insulators without reflection symmetry
Curved accretion disks around rotating black holes without reflection symmetry
A theoretical approach to zero-reflection toroidal curved metasurfaces
Mu-tau reflection symmetry with a texture-zero
Breakings of the neutrino μ-τ reflection symmetry
Exploiting Symmetry in High-Dimensional Dynamic Programming
Quantum consistency in supersymmetric theories with R-symmetry in curved space
Winding modes and the reflection symmetry in AdS3
Reflection on the differences between modeling and programming
Reflection on the differences between modeling and programming
Lifting symmetry breaking constraints with inductive logic programming
Mu-tau reflection symmetry with a high scale texture-zero
Three-dimensional $$\mathbb Z}}$$ Z topological insulators without reflection symmetry
Curved accretion disks around rotating black holes without reflection symmetry
A theoretical approach to zero-reflection toroidal curved metasurfaces
Mu-tau reflection symmetry with a texture-zero
Breakings of the neutrino μ-τ reflection symmetry
Exploiting Symmetry in High-Dimensional Dynamic Programming
Quantum consistency in supersymmetric theories with R-symmetry in curved space
Winding modes and the reflection symmetry in AdS3
Reflection on the differences between modeling and programming
Reflection on the differences between modeling and programming
Lifting symmetry breaking constraints with inductive logic programming
Mu-tau reflection symmetry with a high scale texture-zero