Title :
Recursive Approximation of the Bilateral Filter
Author_Institution :
Dept. of Comput. Sci., City Univ. of Hong Kong, Hong Kong, China
Abstract :
This paper presents a complete proof that the bilateral filter can be implemented recursively, as long as: 1) the spatial filter can be implemented recursively and 2) the range filter can be decomposed into a recursive product. As a result, an O(ND) solution can be obtained for bilateral filtering, where N is the image size and D is the dimensionality.
Keywords :
approximation theory; image filtering; spatial filters; O(ND) solution; bilateral filter; image size; range filter; recursive approximation; recursive product; spatial filter; Approximation methods; Computational complexity; Equations; Filtering; Gray-scale; Kernel; Bilateral Filtering; Bilateral filtering; Edge-Preserving Smoothing; Recursive Filtering; edge-preserving smoothing; recursive filtering;
Journal_Title :
Image Processing, IEEE Transactions on
DOI :
10.1109/TIP.2015.2403238
