How do you calculate the axis-aligned bounding box?

How do you calculate the axis-aligned bounding box?

An axis-aligned bounding box [xmin, xmax] × [ymin, ymax] is constructed to contain the curve. An N × M raster is built to represent the box region. The grid points are uniformly chosen as (xi, yj) for 0 ≤ i < N and 0 ≤ j < M. That is, xi = xmin + (xmax − xmin)i/(N − 1) and yj = ymin + (ymax − ymin)j/(M − 1).

What is AABB rhyming scheme?

The AABB rhyme scheme features a series of rhyming couplets, where successive lines rhyme before giving way to another pair of rhyming lines.

What is a AABB rhyming pattern?

Collection of poems where the ending words of first two lines (A) rhyme with each other and the ending words of the last two lines (B) rhyme with each other (AABB rhyme scheme).

How do you calculate the oriented bounding box?

The lines are transformed into a pointset (representing each pixel of the digitized mouse movement). Determine the oriented bounding box of the lines drawn by the user. The oriented bounding box is computed by a principal component analysis (PCA) of the pointset P forming the lines.

How is an OBB tree made from a triangle mesh?

An OBB tree is built by recursively splitting the triangle mesh whose vertices are the point set. A couple of heuristics are mentioned for the splitting. The minimum volume box (MVB) containing a point set is the minimum volume box containing the convex hull of the points.

How is the size of an object determined by its axis aligned bounding box?

The extent of an object o can be roughly characterized by its axis-aligned bounding box (AABB). This, however, is not a precise measure, since the size of the AABB depends on the orientation of an object. After rotation, a different measure is obtained, although the object itself has still the same size.

Why do we use an aligned bounding box?

After rotation, a different measure is obtained, although the object itself has still the same size. The oriented bounding box (OBB) avoids this and provides a box with an orientation adapted to the shape of the object. The longest side of the OBB is a better approximation of the longest diameter of an object.