Skip to content

README.md

Latest commit

 

History

History
40 lines (33 loc) · 2.17 KB

README.md

File metadata and controls

40 lines (33 loc) · 2.17 KB

NegInvVector3D

Negation Invariant Representations of 3D Vectors

This repository accompanies the following paper published in IEEE TGRS (Transactions on Geoscience and Remote Sensing):

D. Kluvanec, K. J. W. McCaffrey, T. B. Phillips and N. A. Moubayed, "Negation Invariant Representations of 3D Vectors for Deep Learning Models applied to Fault Geometry Mapping in 3D Seismic Reflection Data," in IEEE Transactions on Geoscience and Remote Sensing, doi: 10.1109/TGRS.2023.3273329.

https://doi.org/10.1109/TGRS.2023.3273329

Description

This repository contains an implementation of the representations in python using pytorch. The representations are designed to represent any vector v and its negative -v as the same vector, while also being continuous. The representations are designed to be used as neural network outputs.

The functions in the repository transform 3D vectors v to representations r for a batches of vectors of shape [batch, vector, ...], where the operation is broadcast along the batch dimension and any other following dimensions.

The following are the implemented representations:

  • Doubleangle doubleangle
    • This is a representation of 2D vectors
    • Requires 4 dimensions
  • Dip 90° Strike 360° dip90_strike360
    • This is an imperfect representation and has discontinuities
    • Requires 3 dimensions
  • Dip 180° Strike 180° dip180_strike180
    • This is an imprefect representaiton and has discontinuities
    • Requires 3 dimensions
  • Projection-Doubleangle projection_doubleangle
    • This is the best representation in our experiments
    • Requires 6 dimensions
  • Piecewise-Aligned piecewise_aligned
    • Requires 9 dimensions
    • (Could be expanded to n-dimensional vectors easily. The representation would require n2 dimensions.)
  • Classification Dip-Strike classification_dip_strike
    • Requires 10 dimensions
  • Classification Icosahedron classification_icosahedron
    • Requires 6 dimensions

Functions are named vector_2_[representation] and [representation]_2_vector, where [representation] is replaced with the name of the representaiton.

Installation

pip install git+https://github.com/KluvaDa/NegInvVector3D.git