Title
Constant Velocity 3D Convolution
Abstract
We propose a novel three-dimensional (3D)-convolution method, cv3dconv, for detecting spatiotemporal features from videos. It reduces the number of sum-of-products of 3D convolution by thousands of times by assuming the constant moving velocity of the camera. We observed that a specific class of video sequences, such as those captured by an in-vehicle camera, can be well approximated with piece-wise linear movements of 2D features in the temporal dimension. Our principal finding is that the 3D kernel, represented by the constant-velocity, can be decomposed into a convolution of a 2D kernel representing the shapes and a 3D kernel representing the velocity. We derived the efficient recursive algorithm for this class of 3D convolution which is exceptionally suited for sparse data, and this parameterized decomposed representation imposes a structured regularization along the temporal direction. We experimentally verified the validity of our approximation using a controlled dataset, and we also showed the effectiveness of cv3dconv for the visual odometry estimation task using real event camera data captured in urban road scene.
Year
DOI
Venue
2018
10.1109/3DV.2018.00047
2018 International Conference on 3D Vision (3DV)
Keywords
DocType
ISSN
3D convolution,Constant velocity,Fourier transform
Journal
2378-3826
ISBN
Citations 
PageRank 
978-1-5386-8426-9
1
0.36
References 
Authors
2
7
Name
Order
Citations
PageRank
Yusuke Sekikawa193.87
Kohta Ishikawa220.71
Hara, K.3183.15
Yuichi Yoshida446944.88
Koichiro Suzuki521.05
Ikuro Sato6256.46
Hideo Saito71147169.63