Other

University of Utah Research Foundation

Richard Sheldon Palais

Robert Andrew Palais

Hermann Rudolf Theobald Karcher

Disclosed are embodiments for the generation of point clouds representing a region of space. The region may comprise a plurality of objects, which may comprise cubes, voxels, and/or the like. A plurality of points are calculated and distributed among the objects within the region. Generation of such point clouds may be useful in rendering representations of the region of space, and/or respective object(s) therein, on human-machine interface devices, such as computer displays and/or the like.

Systems and methods for computer-based visualization, rendering, and representation of regions of space using point clouds

Presented are embodiments for the generation of point clouds on a surface. A surface is described by a mathematical function. The surface may be subdivided into a plurality of patches, a plurality of triangles, or a plurality of rectangles, inter alia. A plurality of points are calculated and distributed among the patches, triangles, or rectangles comprising the surface. Generation of such point clouds may be useful in rendering N-dimensional surfaces for display or output on computer display or output devices.

Systems and methods for computer-based visualization, rendering, and representation of surfaces using point clouds

Generating point clouds

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.

Growing community of inventors

Irvine, CA, United States of America

Richard Sheldon Palais