Example 5.3.2 By the method of slicing, obtain the volume of the solid whose base is an equilateral triangle of sides, and whose plane sections are squares. In particular, the equilateral triangle lies in the planez=0and has a vertex at the origin, and ...
During the rendering stage, images of the volume are created by drawing the proxy geometry in sorted order. When the data set is stored in a 3D texture, view-aligned planes are used for slicing the bounding box, resulting in a set of polygons for sampling the volume. Algorithm 39-2 comp...
Slice planes provide a way to explore the distribution of data values within the volume by mapping values to colors. You can orient slice planes at arbitrary angles, as well as use nonplanar slices. (For illustrations of how to use slice planes, seeslice, avolume slicingexample, and slice ...
Volumes by Slicing:If the region bounded between the function f(x) and the x-axis on the interval [a,b] is revolved about the x-axis, then the volume of the resulting solid can be found using the disk method. Take...
The frustum is a pyramid formed by slicing the top off of a conventional pyramid. That is why it is referred to as a truncated pyramid. The section of a pyramid between the vertex and the base that is cut through by a plane parallel to its base is known as the frustum of the pyramid...
Volume by Parallel Cross Section; Disks and Washers We can interchange the roles played by x and y. By revolving about the y-axis the region of Figure 6.2.10, we obtain a solid of cross-sectional area A(y) = π[g(y)]2 and volume Salas, Hille, Etgen Calculus: One and Several Vari...
Slice planes provide a way to explore the distribution of data values within the volume by mapping values to colors. You can orient slice planes at arbitrary angles, as well as use nonplanar slices. (For illustrations of how to use slice planes, seeslice, avolume slicingexample, and slice ...
The following sections then describe several approaches to volume rendering that have been successfully accelerated by hardware. We will discuss ray-casting, 3D and 2D texture slicing, shear-warp rendering and its implementation on VolumePro, and splatting. We will focus on the underlying rendering ...
Explore yourmultidimensional volumedata visually by "slicing and dicing" to create arbitrary orthogonal and oblique slices, rectilinear blocks and cutouts, isosurfaces, and projected volumes. Generate animation sequences featuring continuous rotation, moving slices, blocks, parametric variation (time animatio...
In this section, we explain the principle of each method and its various extensions and we cite some clinical examples of the PVC strategies. 3.1.1 Recovery Coefficient method (RC method) Principle This method is the first and the simplest algorithm used to correct the measurement by applying ...