Characterisation of freeform, structured surfaces in T-spline spaces and its applications

In advanced manufacturing, surface topographical designs with deterministic freeform and embedded structures have proven to contain effective, additive functionalities. These surfaces need to be geometrically characterised regarding the designed form and structures. However, this is problematic sinc...

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Bibliographic Details
Published in:Surface topography metrology and properties 2021-06, Vol.9 (2), p.25003
Main Authors: Wang, Jian, Zou, Renqi, Colosimo, Bianca Maria, Lu, Wenlong, Xu, Long, Jiang, Xiangqian Jane
Format: Article
Language:English
Subjects:
characterisation
freeform
splines
structured surfaces
surface topography
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Summary:In advanced manufacturing, surface topographical designs with deterministic freeform and embedded structures have proven to contain effective, additive functionalities. These surfaces need to be geometrically characterised regarding the designed form and structures. However, this is problematic since existing characterisation techniques such as polynomial form removal, Gaussian/spline/wavelet filtration, field-based statistical parameterisation, spectral and fractal analysis do not provide satisfying results. In this paper, we, therefore, propose to characterise the complex surfaces in T-spline spaces, i.e. basis spline spaces along with T-junctions, using an efficient T-spline fitting algorithm. Several case studies show that the proposed method is compatible and has notable potentials for the challenging characterisation tasks, including non-Euclidean freeform removal, edge-reserving filtration with multiscale analysis, scattered data interpolation and smoothing, and smart large-data downsampling or compression.
ISSN:2051-672X
2051-672X
DOI:10.1088/2051-672X/abf408