2D Non-Rigid Tricubic Point Cloud Registration

Introduction

This repository contains a prototype implementation of a 2D non-rigid point cloud registration algorithm. The algorithm is described in the paper "Non-rigid point cloud registration using piece-wise tricubic polynomials as transformation model".

The paper can be found here - it can be cited as:

@article{glira2023a,
  article-number = {5348},
  author         = {Glira, Philipp and Weidinger, Christoph and Otepka-Schremmer, Johannes and Ressl, Camillo and Pfeifer, Norbert and Haberler-Weber, Michaela},
  doi            = {10.3390/rs15225348},
  issn           = {2072-4292},
  journal        = {Remote Sensing},
  number         = {22},
  title          = {Nonrigid Point Cloud Registration Using Piecewise Tricubic Polynomials as Transformation Model},
  url            = {https://www.mdpi.com/2072-4292/15/22/5348},
  volume         = {15},
  year           = {2023}
}

Also available on .

An efficient 3D implementation of this algorithm written in C++ can be found here.

Minimal example

A minimal example is provided in the test folder. It can be started with:

cd test
minimal_example

This example registers two point clouds of a fish in a non-rigid manner. The result is:

Source of the point clouds: Myronenko, A.; Song, X.; Carreira-Perpinan, M. Non-rigid point set registration: Coherent point drift. Advances in neural information processing systems 2006, 19.

GUI

We have implemented a graphical user interface (GUI) for testing the algorithm - it can be started in the test folder with:

cd test
run_nonrigidRegistrationGUI.m

Requirements

The prototype has been tested with Matlab R2023a. It requires the "Statistics and Machine Learning Toolbox".

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