Abstract
AbstractThis paper considers the multiresolution (in terms of standard deviation) Gaussian filter, which plays an important role in the visual information processing and the signal analysis. A high‐speed and highly accurate method is proposed for Gaussian filtering and calculation of its derivative, using the filter with a recursive structure utilizing the properties of Gaussian function. The earlier method, based on the iterative convolution of Gaussian function, is generalized. The problem is reformulated permitting the variation of the weight coefficient and the scale factor (expansion ratio of standard deviation), to achieve a sufficient accuracy. First, a formulation is made for the continuous system to realize a Gaussian filter and the sequence of its derivative filters for the specified scale factor. Then based on the result, a generation formula is derived for the filter sequence in the discrete system by iterative convolutions with the same weight coefficient. Furthermore, the factors for the error in discrete representation is analyzed, and the condition is derived for suppressing the error.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
