The SDF of the initial burning surface will be used in LSM evolution, and that of the entire model will be used to accelerate the Boolean operation
(see Section 3.3).
3D models can be imported or created using the commands, primitive objects, and Boolean operations
Thus for each boolean operation
[??], all states in S are distinguishable from each other with respect to the final state set H [??] V.
Therefore, for Boolean operation
model, all the criteria were converted into 0 and 1 (Shahabi, et al., 2013) by using spatial analyst tools.
 adopted NVIDIA's CUDA  computing environment to develop an efficient, parallel, and scalable framework for evaluating approximate Boolean operations
on polygonal meshes.
Modelling the 3D stock model, with the same outer dimensions as mould die, for further Boolean operation
with mould die 3D model, resulting with new solid of whirl pump,
If we use logical operators [conjunction], [disjunction], and [logica1l not] to displace Boolean operations
, G will become a logical function.
During preoperative model processing, the smoothed skeleton surface mesh and intramedullary nail surface mesh underwent Boolean operations
, followed by meshing.
Definition 9 A Presburger formula is a boolean formula with variables in N that can be written using quantifiers ([there exists], [for all]), boolean operations
(and, or, not), and linear (in)equalities in the variables.
The new release features: Boolean Operations
with non-destructive union, intersection and subtraction options; up to 5 times faster rendering and multi-processor support with raster export; PaperVision3D v2.0 export for real-time 3D object display in Flash; clone and array tools for easy multi-object editing and scene development; bump map material support and texture mapping; background tracing images and multi-path support within Extrusion and Lathe Editors; as well as advanced lighting with soft shadow rendering and improved viewport camera controls.
From the revolved ellipsoid, the sweep is subtracted through Boolean operations
. A 3D solid like in figure 3 is created and saved as a new part.
Typically, solids represented in a modeler can be transformed by rigid motions which are straightforward and well known in computer graphics, Newman , Dam , and can be combined by Boolean operations
, which are complex but important.