2D Polynomial Data Modelling: Version 1.0
Discrete Orthogonal Toolbox for 2D Data: dop2DBox Version V2.0
July 2013
Introduction
------------
This toolbox extends the discrete orthogonal toolbox "dopBox" available
http://www.mathworks.com/matlabcentral/fileexchange/41250
to modelling of 2D data sets. Presently the modelling is for datawhich lies on a grid (regular lattice). For example, the tools are particularly well suited for use with images and for regularly scanned surface data.
The toolbox implements a number of 2D algorithms:
The following transformation pair, represent the first Gram and inverse Gram transformations which can deal with images of size > 1000 x 1000 pixels without errors.
dgt2: A 2D Gram polynomial transformation.
idgt2: Inverse 2D Gram polynomial transformation.
dop2DApprox: a 2D Gram polynomial approximation.
dop2DApproxLocal: a local 2D Gram polynomial approximation.
dop2DGradient: A 2D gradient computation with and without spectral regularization.
Demos
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The toolbox contains four demonstration applications, with corresponding theory:
1) A 2D surface approximation, with the seperation of local surface anomalies from a global surface model.
2) Image illumination correction
3) Regularized and non-regularized gradient computation form surface data.
4) A 2D Gram Transformation and its inverse
Theory
------
The theory behind the surface modelling for real time surface sinpection can be found in the paper:
@article{doi:10.1117/1.2987725,
author = {O'Leary, Paul and Harker, Matthew},
title = {Discrete polynomial moments for real-time geometric surface inspection},
journal = {Journal of Electronic Imaging},
volume = {18},
number = {1},
pages = {013015-013015-13},
year = {2009},
doi = {10.1117/1.2987725},
URL = { + http://dx.doi.org/10.111/1.2987725},
eprint = {}
}
http://dx.doi.org/10.1117/1.2987725
The theory was also extended to circular disks and can be found in:
@inproceedings{
Janko2013,
Author = {Janko, M. and O'Leary, P. and Harker, M.},
Title = {Instrumentation for the 3D Measurement of Circular
Disks and the Quantification of Warpage},
BookTitle = {IEEE International Instrumentation and Measurement Technology Conference},
Address= {Minneapolis, Minnesota, USA },
Publisher = {IEEE},
Pages = {146..150},
Year = {2013} }
Requirements
-------------
This tool requires the dopBox:
引用
Matthew Harker, Paul O'Leary, (2024). 2D Polynomial Data Modelling: Version 1.0 (https://www.mathworks.com/matlabcentral/fileexchange/42474-2d-polynomial-data-modelling-version-1-0), MATLAB Central File Exchange. 取得済み .
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バージョン | 公開済み | リリース ノート | |
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1.0.0.0 |