Abstract
The helix transform was introduced to the geophysical community by Claerbout (1998) as a means to perform multidimensional convolution via one-dimensional convolution operators. The helix algorithm proves to be very helpful for multidimensional deconvolution problems like those encountered in noise attenuation and seismic data regularization with prediction error filters (Naghizadeh and Sacchi, 2009). The helix transform can be clearly explained using zero-padding and lexicographic ordering of multidimensional data cubes. The intention of this short presentation is to describe, in very simple terms, how one can perform multidimensional convolution via a 1D convolution algorithm.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.