Abstract: A method of modeling a solid shape in a volume of space may include segmenting the volume into a plurality of equal portions of a given first size, determining, with respect to each portion, a first fill status based on whether each respective portion includes material of the shape, segmenting selected portions of the volume, based on the first fill status, into equal portions of a given second size that is smaller than the first size, determining, with respect to each selected portion, a second fill status, segmenting second selected portions of the volume, based on the second fill status, into equal portions of a given third size that is smaller than the second size, determining, with respect to each second selected portion, a third fill status, and generating a hybrid dynamic tree data structure based on the based on the first, second and third fill statuses.

Abstract: Systems, devices, and methods efficiently calculate optimal flight paths for protected entities given terrain data, aircraft position, flight characteristics, and positions of known threat emitters. The systems and methods execute within the mission planning timeline, and the developed processes allow users to retrieve data from the calculations to effectively place an electronic attack platform at the right place and at the right time to be effective. The calculated optimal flight paths are displayed or otherwise visualized in the mission space. Electronic attack jamming capabilities are combined with projected threat emitter performance information in order to obtain optimal geometrical positioning of the electronic attack relative to the threat emitter.

Abstract: A method of modeling a solid shape in a volume of space may include segmenting the volume into a plurality of equal portions of a given first size, determining, with respect to each portion, a first fill status based on whether each respective portion includes material of the shape, segmenting selected portions of the volume, based on the first fill status, into equal portions of a given second size that is smaller than the first size, determining, with respect to each selected portion, a second fill status, segmenting second selected portions of the volume, based on the second fill status, into equal portions of a given third size that is smaller than the second size, determining, with respect to each second selected portion, a third fill status, and generating a hybrid dynamic tree data structure based on the based on the first, second and third fill statuses.