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Assimilation of data into a fire-spread model is formulated as anoptimization problem. The level set equation, which relates the fire arrivaltime and the rate of spread, is allowed to be satisfied only approximately, andwe minimize a norm of the residual. Previous methods based on modification ofthe fire arrival time either used an additive correction to the fire arrivaltime, or made a position correction. Unlike additive fire arrival timecorrections, the new method respects the dependence of the fire rate of spreadon diurnal changes of fuel moisture and on weather changes, and, unlikeposition corrections, it respects the dependence of the fire spread on fuelsand terrain as well. The method is used to interpolate the fire arrival timebetween two perimeters by imposing the fire arrival time at the perimeters asconstraints.

Assimilation of fire perimeters and satellite detections by minimization of the residual in a fire spread model