Fast approximation to the spherical linear interpolation function
US7219114B2 · kind B2 · utility
Assignee
Inventor
Key dates
| Filing date | Apr 10, 2002 |
| Grant date | May 15, 2007 |
| Priority date | — |
| Expiry date | Oct 10, 2023 |
Classification
- Technology area (CPC G)Physics
- CPC primaryG06F17/17
- WIPO fieldComputer technology
- WIPO sectorElectrical engineering
Abstract
A method for an accurate approximation to Slerp function that is much faster to compute on current processors. Specifically, the present invention provides a method for obtaining an interpolated quaternion comprising forming a first product of a first quaternion and a first scaling function; forming a second product of a second quaternion and a second scaling function; and forming a sum of the first product and the second product, wherein the first scaling function is approximated by obtaining a first polynomial and wherein the second scaling function is approximated by obtaining a second polynomial, thus obtaining an interpolated quaternion that is in between the first quaternion and the second quaternion.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.