Output details
15 - General Engineering
University of Huddersfield
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Article title
Freeform surface filtering using the diffusion equation
Type
D - Journal article
Title of journal
Proceedings of the Royal Society, A
Article number
-
Volume number
467
Issue number
2127
First page of article
841
ISSN of journal
1364-5021
Year of publication
2011
Number of additional authors
2
Additional information
Gaussian filtering is fundamental to surface metrology, but cannot be applied to freeform surfaces without distortion. A link was discovered between Gaussian filtering and solutions of the Laplacian operator that models linear isotropic diffusion. By solving this diffusion operator a distortion free generalisation of Gaussian filtering for freeform surface data is achieved. This research makes a step change in surface filtration. Industry (Taylor Hobson) started to use this method to filter aspheric/freeform lenses. The method is proposed for future ISO standards. The research was sponsored by the ERC AdG: 117228 Surfund; this paper was featured by the Royal Society 2011.
Interdisciplinary
-
Cross-referral requested
-
Research group
None
Proposed double-weighted
No
Double-weighted statement
-
Reserve for a double-weighted output
No
Non-English
No
English abstract
-
