Euler filter
Encyclopedia
In computer graphics
, an Euler filter is a filter
intended to remove discontinuities from animation data sets in which rotation is expressed in terms of Euler angles.
These discontinuities are caused by the existence of many-to-one mappings between the Euler angle parameterization of the set of 3D rotations. This allows the data set to flip between different Euler angle combinations which correspond to a single 3D rotation, which, although remaining continuous in the space of rotation, are discontinuous in the Euler angle parameter space.
The Euler filter chooses on a sample-by-sample basis between the possible Euler angle representations of each 3D rotation in the data set in such as way as to preserve the continuity of the Euler angle time series, without changing the actual 3D rotations.
Euler filtering is available in a number of 3D animation packages, most notably in the Maya
software.
Computer graphics
Computer graphics are graphics created using computers and, more generally, the representation and manipulation of image data by a computer with help from specialized software and hardware....
, an Euler filter is a filter
Filter (software)
A filter is a computer program to process a data stream. Some operating systems such as Unix are rich with filter programs. Even Windows has some simple filters built into its command shell, most of which have significant enhancements relative to the similar filter commands that were available in...
intended to remove discontinuities from animation data sets in which rotation is expressed in terms of Euler angles.
These discontinuities are caused by the existence of many-to-one mappings between the Euler angle parameterization of the set of 3D rotations. This allows the data set to flip between different Euler angle combinations which correspond to a single 3D rotation, which, although remaining continuous in the space of rotation, are discontinuous in the Euler angle parameter space.
The Euler filter chooses on a sample-by-sample basis between the possible Euler angle representations of each 3D rotation in the data set in such as way as to preserve the continuity of the Euler angle time series, without changing the actual 3D rotations.
Euler filtering is available in a number of 3D animation packages, most notably in the Maya
Maya (software)
Autodesk Maya , commonly shortened to Maya, is 3D computer graphics software that runs on Microsoft Windows, Mac OS and Linux, originally developed by Alias Systems Corporation and currently owned and developed by Autodesk, Inc. It is used to create interactive 3D applications, including video...
software.
External links
- http://fliponline.blogspot.com/2007/04/quick-trick-gimbal-lock-just-ignore-it.html
- http://www.xsibase.com/forum/index.php?board=11;action=display;threadid=24434
- http://sparks.discreet.com/knowledgebase/sdkdocs_v8/prog/main/sdk_trans_handling_sign_flips.html