The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.

The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.

Date of Patent:
Mar. 14, 2017

Filed:

Aug. 29, 2014
Applicant:

The University of Utah Research Foundation, Salt Lake City, UT (US);

Inventors:

Robert Andrew Palais, Salt Lake City, UT (US);

Richard Sheldon Palais, Irvine, CA (US);

Assignee:

University of Utah Research Foundation, Salt Lake City, UT (US);

Attorney:
Primary Examiner:
Int. Cl.
CPC ...
G09G 5/00 (2006.01); G06T 3/60 (2006.01); G06T 13/20 (2011.01); G06T 19/20 (2011.01);
U.S. Cl.
CPC ...
G06T 3/60 (2013.01); G06T 13/20 (2013.01); G06T 19/20 (2013.01); G06T 2210/32 (2013.01); G06T 2219/2016 (2013.01);
Abstract

Novel and simple methods, systems, and computer program products for implementing a 3D rotation using input from a mouse, trackball, or other input device are described. Methods of implementing rotations are presented which lead to new realizations of the 3D rotation group and its double-cover, the unit quaternions. New methods, systems, and computer program products are also presented for interpolating rotations of a 3D scene that is more efficient than previously-known quaternion-based methods. The new methods are also used to derive the quaternion composition formula from the geometry of 3D rotations.


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