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Conference Paper

Linear Time Mesh Simplification with Reliable Error-Bounds

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Vorsatz,  Jens
Computer Graphics, MPI for Informatics, Max Planck Society;

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Kähler,  Kolja
Computer Graphics, MPI for Informatics, Max Planck Society;

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Kobbelt,  Leif P.
Computer Graphics, MPI for Informatics, Max Planck Society;

/persons/resource/persons45449

Seidel,  Hans-Peter       
Computer Graphics, MPI for Informatics, Max Planck Society;

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Citation

Vorsatz, J., Kähler, K., Kobbelt, L. P., & Seidel, H.-P. (2000). Linear Time Mesh Simplification with Reliable Error-Bounds. In B. Girod, G. Greiner, H. Niemann, & H.-P. Seidel (Eds.), Proceedings of Vision, Modeling, and Visualization 2000 (pp. 145-152). Berlin, Germany: Akademische Verlagsgesellschaft Aka.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-34D2-B
Abstract
This paper proposes an incremental mesh reduction scheme that
provides fine grained control over the approximation error while
being linear in time in the number of vertices. We use the
well--known half--edge collapse as our atomic decimation operation
but we differ from previously reported methods in that we use a
sequence of oriented bounding-boxes to track the decimation error
instead of retaining the complete vertex information of the original
model. This reduces storage costs and computation time while still
providing a reliable upper bound for the deviation from the original
data. We also propose different error accumulation strategies which
makes the algorithm adaptable to different application scenarios.