Fetching the paper…

Reading the bibliography…

2014

Permutohedral Lattice CNNs

Kiefel, Martin, Jampani, Varun, Gehler, Peter V.

Original
PDF
Post on X

Understand

This paper presents a convolutional layer that is able to process sparse input features.

As an example, for image recognition problems this allows an efficient filtering of signals that do not lie on a dense grid (like pixel position), but of more general features (such as color values).
The presented algorithm makes use of the permutohedral lattice data structure.
The permutohedral lattice was introduced to efficiently implement a bilateral filter, a commonly used image processing operation.

Permutohedral Lattice CNNs · Around

Built on

Non-linear Gaussian filters performing edge preserving diffusion
Aurich, Volker and Weule, Jörg · 1995
Earlier work this paper cites.
SUSAN – a new approach to low level image processing
Smith, Stephen M. and Brady, J. Michael · 1997
Earlier work this paper cites.
Gradient-based learning applied to document recognition
LeCun, Yann, Bottou, Léon, Bengio, Yoshua, and Haffner, Patrick · 1998
Earlier work this paper cites.
Bilateral filtering for gray and color images
Tomasi, Carlo and Roberto, Manduchi · 1998
Earlier work this paper cites.

Similar

Gaussian kd-trees for fast high-dimensional filtering
Adams, Andrew, Gelfand, Natasha, Dolson, Jennifer, and Levoy, Marc · 2009
Cited alongside, same era.
A fast approximation of the bilateral filter using a signal processing approach
Paris, Sylvain and Durand, Frédo · 2009
Cited alongside, same era.
Fast high-dimensional filtering using the permutohedral lattice
Adams, Andrew, Baek, Jongmin, and Davis, Myers Abraham · 2010
Cited alongside, same era.

Then

Contour detection and hierarchical image segmentation
Arbeláez, Pablo, Maire, Michael, Fowlkes, Charless, and Malik, Jitendra · 2011
Later among the works it cites.
Group invariant scattering
Mallat, Stéphane · 2012
Later among the works it cites.
Caffe: Convolutional architecture for fast feature embedding
Original
Jia, Yangqing, Shelhamer, Evan, Donahue, Jeff, Karayev, Sergey, Long, Jonathan, Girshick, Ross, Guadarrama, Sergio, and Darrell, Trevor · 2014
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…