Abstract
The article presents the dynamical objects identification technology based on statistical models of amplitude-phase images (APIm) – multidimensional data arrays (semantic models) and statistical correlation analysis methods using the generalized discrete Hilbert transforms (DHT) – 2D Hilbert (Foucault) isotropic (HTI), anisotropic (HTA) and total transforms – AP-analysis (APA) to calculate the APIm. The identified objects are modeled with 3D airplanes templates rotated in space around the center of Cartesian coordinate system. The DHT domain system of coordinates displaying the plane projections (2D flat images) remains to be space-invariant. That causes the anisotropic properties of APIm and makes possible the tested objects effective matching to rotated templates and identification of shapes at DHT domains. As additional method for objects matching accuracy increasing the difference (residual) relative shifted phase (DRSP-) images templates are proposed. The hierarchical system for identification is based on correlation analysis and decision making on semantic models – sets of AP-histograms (adjacency arrays), DRSP-images, APIm with specified angles shifts.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Pratt, W.K.: Digital Image Processing: PIKS Inside, 4th edn. Wiley, New York (2010)
Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification, 2nd edn. Wiley, New York (2001)
Hahn, S.L., Snopek, K.M.: Complex and Hypercomplex Analytic Signals: Theory and Applications. Artech House, Boston (2017)
Hahn, S.L.: Hilbert Transforms in Signal Processing. Artech House, Norwood (1996)
Lorenco-Ginori, J.V.: An approach to 2D Hilbert transform for image processing applications. In: Kamel, M., Campilho, A. (eds.) ICIAR 2007, pp. 157–165 (2007). Montreal
Wietzke, L., Flejschmann, O., Sommer, G.: 2D image analysis by generalized Hilbert transforms in conformal space, In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part II, pp. 638–649 (2008). Marseille
Wietzke, L., Flejschmann, O., Sedlazeck, A., Sommer, G.: Local structure analysis by isotropic Hilbert transforms. In: Goesele et al. (eds.) DAGM 2010, pp. 131–140 (2010). Darmstadt
Sudoł, A., Stemplewski, S., Vlasenko, V.: Methods of digital Hilbert optics in modelling of dynamic scene analysis process: amplitude-phase approach to the processing and identification objects’ pictures. In: Information Systems Architecture and Technology, pp. 129–138. Politechnika Wrocławska, Wrocław (2014)
Vlasenko, V., Sudoł, A.: DHO-methodology for complex shape objects and textures at dynamic scenes identification: structure design, modeling and verification. Syst. Sci. 35(3), 15–29 (2009)
Vlasenko, V., Sudoł, A.: Identyfikacja Scen Dynamicznych: Zastosowania Cyfrowej Optyki Hilberta w Modelowaniu Procesów Obróbki Obrazów i Sygnałów w Systemach Optoelektronicznych. Przegląd Telekomunikacyjny, pp. 1892–1902 (2009). Warszawa
Vlasenko, V., Vlasenko, N., Semenov, D., Sudoł, A.: Modeling and verifications of information technologies for MDHO-identification of objects and textures at dynamic scenes. In: Information Systems Architecture and Technology. Information Systems and Computer Communication Networks, pp. 49–62 (2008). Wroclaw
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Vlasenko, V., Stemplewski, S., Koczur, P. (2018). Identification of Objects Based on Generalized Amplitude-Phase Images Statistical Models. In: Świątek, J., Borzemski, L., Wilimowska, Z. (eds) Information Systems Architecture and Technology: Proceedings of 38th International Conference on Information Systems Architecture and Technology – ISAT 2017. ISAT 2017. Advances in Intelligent Systems and Computing, vol 656. Springer, Cham. https://doi.org/10.1007/978-3-319-67229-8_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-67229-8_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67228-1
Online ISBN: 978-3-319-67229-8
eBook Packages: EngineeringEngineering (R0)