O'Reilly logo

Morphing by Joseph Choma

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Thickening

A three-dimensional grid in space comprises the x-, y- and z-coordinates in a parametric equation. Imagine a sphere within this three-dimensional grid. On the sphere itself is another grid, formed by the u- and v-parameters. In order to give a sphere thickness, an additional parameter must be introduced. The w-parameter is like an arrow coming off the surface of a sphere. It relates to w as z relates to x and y (or, to put it a different way, w is like the z-coordinate of u and v).

Because a sphere with thickness has two boundary conditions, an inner and an outer, two different sets of x, y and z must be established. One set describes the inner boundary of the sphere and the second defines its thickness (and therefore implicitly also ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required