Contouring Discrete Indicator Functions

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dc.contributor.authorManson, Josiahen_US
dc.contributor.authorSmith, Jasonen_US
dc.contributor.authorSchaefer, Scotten_US
dc.contributor.editorM. Chen and O. Deussenen_US
dc.date.accessioned2015-02-27T10:21:41Z
dc.date.available2015-02-27T10:21:41Z
dc.date.issued2011en_US
dc.description.abstractWe present a method for calculating the boundary of objects from Discrete Indicator Functions that store 2- material volume fractions with a high degree of accuracy. Although Marching Cubes and its derivatives are effective methods for calculating contours of functions sampled over discrete grids, these methods perform poorly when contouring non-smooth functions such as Discrete Indicator Functions. In particular, Marching Cubes will generate surfaces that exhibit aliasing and oscillations around the exact surface. We derive a simple solution to remove these problems by using a new function to calculate the positions of vertices along cell edges that is efficient, easy to implement, and does not require any optimization or iteration. Finally, we provide empirical evidence that the error introduced by our contouring method is significantly less than is introduced by Marching Cubes.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2011.01869.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.titleContouring Discrete Indicator Functionsen_US
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