Permutosdf: Fast multi-view reconstruction with implicit surfaces using permutohedral lattices
Neural radiance-density field methods have become increasingly popular for the task of
novel-view rendering. Their recent extension to hash-based positional encoding ensures …
novel-view rendering. Their recent extension to hash-based positional encoding ensures …
Hplflownet: Hierarchical permutohedral lattice flownet for scene flow estimation on large-scale point clouds
We present a novel deep neural network architecture for end-to-end scene flow estimation
that directly operates on large-scale 3D point clouds. Inspired by Bilateral Convolutional …
that directly operates on large-scale 3D point clouds. Inspired by Bilateral Convolutional …
Fast high‐dimensional filtering using the permutohedral lattice
Many useful algorithms for processing images and geometry fall under the general
framework of high‐dimensional Gaussian filtering. This family of algorithms includes …
framework of high‐dimensional Gaussian filtering. This family of algorithms includes …
Latticenet: Fast point cloud segmentation using permutohedral lattices
Deep convolutional neural networks (CNNs) have shown outstanding performance in the
task of semantically segmenting images. However, applying the same methods on 3D data …
task of semantically segmenting images. However, applying the same methods on 3D data …
LatticeNet: fast spatio-temporal point cloud segmentation using permutohedral lattices
Deep convolutional neural networks have shown outstanding performance in the task of
semantically segmenting images. Applying the same methods on 3D data still poses …
semantically segmenting images. Applying the same methods on 3D data still poses …
Homological percolation and the Euler characteristic
O Bobrowski, P Skraba - Physical Review E, 2020 - APS
In this paper we study the connection between the zeros of the expected Euler characteristic
curve and the phenomenon which we refer to as homological percolation—the formation of …
curve and the phenomenon which we refer to as homological percolation—the formation of …
Splatplanner: Efficient autonomous exploration via permutohedral frontier filtering
A Brunel, A Bourki, C Demonceaux… - … conference on robotics …, 2021 - ieeexplore.ieee.org
We address the problem of autonomous exploration of unknown environments using a Micro
Aerial Vehicle (MAV) equipped with an active depth sensor. As such, the task consists in …
Aerial Vehicle (MAV) equipped with an active depth sensor. As such, the task consists in …
Polynomial-sized topological approximations using the permutahedron
Classical methods to model topological properties of point clouds, such as the Vietoris–Rips
complex, suffer from the combinatorial explosion of complex sizes. We propose a novel …
complex, suffer from the combinatorial explosion of complex sizes. We propose a novel …
Method, system and apparatus for determining a hash code representing a portion of an image
AV Tonisson, BJ Drake, SA Rudkin - US Patent 9,177,388, 2015 - Google Patents
A method of determining a hash code representing a portion of an image, is disclosed. A
Delaunay region (eg, 450) enclosing an image feature point (eg, 210) representing at least …
Delaunay region (eg, 450) enclosing an image feature point (eg, 210) representing at least …
Homological percolation on a torus: plaquettes and permutohedra
P Duncan, M Kahle, B Schweinhart - arXiv preprint arXiv:2011.11903, 2020 - arxiv.org
We study higher-dimensional homological analogues of bond percolation on a square
lattice and site percolation on a triangular lattice. By taking a quotient of certain infinite cell …
lattice and site percolation on a triangular lattice. By taking a quotient of certain infinite cell …