RIGID PHYSICALLY BASED SUPERQUADRICS
A.H. Barr, California Institute of Technology, Pasadena, California
Publisher Summary
Superquadric ellipsoids and toroids are recent geometric shapes, which are useful for computer graphics modeling. This chapter illustrates equations that calculate the motion of those shapes in rigid physically based modelling and presents closed-form algebraic expressions for the volume, center of mass, and rotational inertia tensor for superquadric shapes. The chapter reviews superquadrics, the equations of rigid body motion of Newtonian physics, and ancillary mathematical definitions and derivations. Superquadrics are three-dimensional extensions of Piet Hein’s two-dimensional superellipses. They allow us ...
Get Graphics Gems III (IBM Version) now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
