29 January 2007 Incremental adaptive subdivision of mesh surfaces
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Abstract
Subdivision of triangular meshes is a common technique for refining a given surface representation for various purposes in computer vision, computer graphics, and finite element methods. Particularly, in the processing of reconstructed surfaces based on sensed data, subdivision can be used to add surface points at locations in which the sensed data was sparse and so increase the density of various computed surface properties at such locations. Standard subdivision techniques are normally applied to the complete mesh and so add vertices and faces throughout the mesh. In modifying global adaptive subdivision schemes to perform local subdivision, it is necessary to guarantee smooth transition between subdivided regions and regions left at the original level so as to prevent the formation of surface artifacts at the boundaries between such regions. Moreover, the produced surface mesh needs to be suitable for successive local subdivision steps. We propose a novel approach for incremental adaptive subdivision of triangle meshes which may be applied to multiple global subdivision schemes and which may be repeated iteratively without forming artifacts in the subdivided mesh. The decision of where to subdivide in each iteration is determined based on an error measure which is minimized through subdivision. Smoothness between various subdivision levels is obtained through the postponement of local atomic operations. The proposed scheme is evaluated and compared to known techniques using quantitative measures.
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Suneel Suresh, Suneel Suresh, Gady Agam, Gady Agam, } "Incremental adaptive subdivision of mesh surfaces", Proc. SPIE 6499, Vision Geometry XV, 649907 (29 January 2007); doi: 10.1117/12.707832; https://doi.org/10.1117/12.707832
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