An Approach to the 2D Hilbert Transform for Image Processing Applications

  • Juan Valentín Lorenzo-Ginori
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4633)


The Hilbert Transform (HT) and the analytic signal (AS) are widely used in their one-dimensional version for various applications. However, in the bi-dimensional (2D) case as occur for images, the definition of the 2D-HT is not unique and several approaches to it have been developed, having as one of the main goals to obtain a meaningful 2D-AS or analytic image, which can be used for various practical applications. In this work, one particular approach to the 2D-HT is introduced that allowed the calculation of analytic images which satisfy the basic properties that these functions have in the 1D case, and that produces a 2D spectrum equal to zero in one quadrant. The methods for calculation of the discrete version of the 2D-HT and the associated AS are presented and analyzed, as well as two applications, for edge detection and for envelope detection in a 2D AM modulated radial chirp.


Edge Detection Support Region Hilbert Transform Image Processing Application Instantaneous Amplitude 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Juan Valentín Lorenzo-Ginori
    • 1
  1. 1.Center for Studies on Electronics and Information Technologies, Universidad Central de Las Villas, Carretera a Camajuaní, km 5 1/2, Santa Clara, VC, CP 54830Cuba

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