PointCloudLibrary / PointCloudLibrary/pcl
[Registration] PCL-NDT codes calculate gauss_c1, c2 may have problem? equation 6.7
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Description
My confusion:
Paper: 2009 Phd Thesis <The Three-Dimensional Normal-Distributions Transform>
Equation here:

Code here:
// Initializes the gaussian fitting parameters (eq. 6.8) [Magnusson 2009]
const double gauss_c1 = 10.0 * (1 - outlier_ratio_);
const double gauss_c2 = outlier_ratio_ / pow(resolution_, 3);
Question:
Why the PCL code write the constant c1, c2 as, pcl source code link:
Why the c1, c2 could be formulated as the codes said, and why 10 times on c1 also?
Other related issues to understand more:
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Research direction
Start with the gauss_c1 and gauss_c2 definitions in ndt.hpp and compare them with equation 6.7/6.8 in Magnusson's 2009 thesis. Review related issue #5056 and the linked discussion to determine whether the implementation is incorrect or the question reflects a notation difference. Done means establishing the intended formula and documenting or reporting a concrete correction if needed.
Written by the indexing model from the issue text.
Assessment
- Tech stack
- cpp
- Domain
- computer-vision
- Issue type
- Bug
- Difficulty
- 4/5
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- 3-5 days
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- Needs clarification
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- 25/100