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Geometry subfields include:
* [[Implicit surface]] modeling – an older subfield which examines the use of algebraic surfaces, [[constructive solid geometry]], etc., for surface representation.
* Digital geometry processing – [[3d scanning|surface reconstruction]], simplification, fairing, mesh repair, [[mesh parameterization|parameterization]], remeshing, [[mesh generation]], surface compression, and surface editing all fall under this heading.<ref name="caltech multires dgp">[http://www.multires.caltech.edu/pubs/DGPCourse/ ] {{webarchive |url = https://web.archive.org/web/20070214021951/http://www.multires.caltech.edu/pubs/DGPCourse/ |date=February 14, 2007 }}</ref><ref name="uiuc graphics dgp">[http://graphics.cs.uiuc.edu/~garland/class/geometry/ CS 598: Digital Geometry Processing (Fall 2004)<!-- Bot generated title -->] {{webarchive|url=https://archive.
* Discrete differential geometry – a nascent field which defines geometric quantities for the discrete surfaces used in computer graphics.<ref name="columbia ddg">{{cite web |url = http://ddg.cs.columbia.edu/ |title=Discrete Differential Geometry |website = ddg.cs.columbia.edu |access-date=2014-05-01}}</ref>
* Point-based graphics – a recent field which focuses on points as the fundamental representation of surfaces.
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