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Faster Algorithms for Implementing and Interpolating Rotations in Graphics, Animation, and Robotics

Invention Summary Fast algorithms to implement and interpolate rotations of a scene or mechanism are essential in computer graphics for animation, video games and in robotics. The University of Utah technology reduces the number of computations necessary to perform these tasks using a new representation of the rotations and associated mathematical...

Published: 6/5/2019 | Inventor(s): Robert Palais, Richard Palais

Keywords(s):

Category(s): Computing, Simulation & Modeling

Algorithms for Generating Mathematical Point Clouds

Invention SummaryThis invention consists of new algorithms for point cloud representation of all three standard mathematical models of surfaces (Implicit, Parametric and Triangulation). These point cloud representations allow the viewer to see multiple portions of a surface simultaneously, and highlight important visual information regarding tangency...

Published: 8/3/2017 | Inventor(s): Robert Palais, Richard Palais, Hermann R. t. Karcher

Keywords(s):

Category(s): Software