Invariant Scattering Convolution Networks. arXiv.org, cs.CV, March 2012.J. Bruna and S. Mallat, "Invariant scattering convolution networks," IEEE Trans. Pattern Anal. Mach. Intell., vol. 35, no. 8, pp. 1872-1886, Mar. 2012.J. Bruna, S. Mallat, "Invariant Scattering Convolution ...
Section 2.1 proves that linear translation-invariant operators are convolution products. The translation-invariance properties (4.127, 4.128) therefore are equivalent to having a smoothing kernel in (4.139) be a convolution kernel: (4.143)K(u,u′,ξ,ξ′)=K(u−u′,ξ−ξ′); therefore (4....
scaling, rotation and convolution. Therefore, the computation of motion blur on ultrasound images could be achieved via image descriptors since the speckle size depends to the ultrasound beam diameter that is varying over the image. Here, we formulate...
For this purpose, we use the roto-translation properties existing in the Scattering Transform Networks with a series of 3D Convolutions. We validate the results by training with upright and randomly rotated samples. This allows further applications of this work on fields like automatic re-...