Extracting temporally coherent surfaces from particle systems

Abstract

The space including a particle system is discretized into volume elements. Signed distance values at each time and velocity values at a time are assigned to volume elements based on the particle system. The each volume element's position at the current time is extrapolated to an additional position at each additional time based on its respective velocity value. A temporally coherent signed distance value for each volume element is determined from its signed distance value and the signed distance values at the associated additional position at each additional time. A surface extracted from the temporally coherent signed distance values will be temporally coherent over the interval including the current time and the one or more additional times. Arbitrary surface properties may also be associated with volume elements and temporally coherent surface property values may be determined for each volume element using its respective velocity value in a similar manner.