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References
Abdul-Rahman H, Lou S, Zeng W, Jiang X, Scott P (2016) Freeform texture representation and characterisation based on triangular mesh projection techniques. Measurement 92:172–182
Elkott DF et al (2002) Automatic sampling for CMM inspection planning of free-form surfaces. Int J Prod Res 40(11):2653–2676
Euclid (c300 BCE) The elements, book I; see The thirteen books of the elements vol I–III, translated with introduction and commentary by Sir Thomas L Heath, Dover
Fang FZ et al (2013) Manufacturing and measurement of freeform optics. CIRP Ann Manuf Technol 62(2013):823–846
Forbes GW (2012) Characterizing the shape of freeform optics. Opt Express 20(3):2483–2499. https://doi.org/10.1364/OE.20.002483
Gauss CF (1828) Disquisitiones generales circa superficies curvas. Typis Dieterichianis. https://archive.org/details/disquisitionesg00gausgoog
ISO 10110-19 (2015) Optics and photonics – preparation of drawings for optical elements and systems – part 19: general description of surfaces and components, Genèv
ISO 17450-1 (2011) Geometrical product specifications (GPS) – general concepts – part 1: model for geometrical specification and verification, Genève
ISO 25178-2 (2012) Geometrical product specifications (GPS) – surface texture: areal – part 2: terms, definitions and surface texture parameters, Genève
Jiang XJ, Whitehouse DJ (2012) Technological shifts in surface metrology. CIRP Ann Manuf Technol 61(2):815–836
Jiang XJ et al (2013) Multi-scale freeform surface texture filtering using a mesh relaxation scheme. IOP, Meas Sci Technol 24(2013):115001. (17pp)
Li Y, Gu P (2004) Free-form surface inspection techniques state of the art review. Comput Aided Des 36(13):1395–1417
Li Y, Liu ZG (2003) Method for determining the probing points for efficient measurement and reconstruction of freeform surfaces. Meas Sci Technol 14(8):1280
Pagani L et al (2017) Towards a new definition of areal surface texture parameters on freeform surface. Measurement 109:218–291
Savio E et al (2007) Metrology of freeform shaped parts. CIRP Ann Manuf Technol 56:810–835
Shih CS et al (2008) Non-uniform surface sampling techniques for three-dimensional object inspection. Opt Eng 47(5):053606–053615
Unser M (2000) Sampling-50 years after Shannon. Proc IEEE 88(4):569–587
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Jiang, X. (2019). Freeform. In: Chatti, S., Laperrière, L., Reinhart, G., Tolio, T. (eds) CIRP Encyclopedia of Production Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53120-4_16854
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DOI: https://doi.org/10.1007/978-3-662-53120-4_16854
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