More complex objects can be formed by using more complex transformations.
Let each face of the polygon coincide with a partitioning plane of the tree.
Operations are union, intersection and difference.
Each leaf of the tree is either inside or outside of the polygon.Other methods for obtaining two-dimensional figures include closed spline curve constructions and cross-sectional slices of solid objects.Example of torus designed using a rotational sweep.We will apply quadtrees to do you pay tax on a tax refund storing planar polygons.Then, one of the root's children is refined yet again.But if the cross section shown in this figure has depth, then we are using one three-dimensional object to generate another.Implementation with ray casting, ray Casting is often used to implement CSG operation when objects are described with boundary representation.
Typical standard primitives are: cone, cylinder, sphere, torus, block, closed spline surface, right angular wedge.
Union, a, D, intersection, c, B, difference (Obj 2 - Obj 1 ).
For example, a prism can be generated using a translational sweep and rotational sweeps can be used to create curved surfaces like an ellipsoid or a torus.Constructive models represent a solid as a combination of primitive solids.The decision to subdivide is based on an attribute of the current quadrant.The plane of subdivision can have any position and orientation.In both cases, you start with a cross-section and generate more vertices by applying the appropriate transformation.