Abstract: To generate a skin-attached element on a skin surface of an animated character, a region of the skin surface within a predetermined distance from a skin-attached element root position is deformed to form a lofted skin according to one of a plurality of constraint surfaces, where each of the plurality of constraint surfaces does not intersect with each other. A sublamina mesh surface constrained to the lofted skin is created. A two-dimensional version of the skin-attached element is projected onto the sublamina mesh surface. The lofted skin is reverted back to a state of the skin surface prior to the deformation of the region of the skin surface.

Abstract: The surface of a body of water can be animated by deconstructing a master wave model into several layer models and then reconstructing the layer models to form an optimized wave model. A wave model is obtained, which describes the wave surfaces in a body of water. The wave model is comprised of a range of wave model frequencies over a given area. A primary layer model, secondary and tertiary layer models are constructed based on portions of the wave model frequencies. An optimized wave model is constructed by combining the primary, secondary, and tertiary layer models. A wave surface point location is determined within the given area. A wave height value is computed for the wave surface point location using the optimized wave model. The wave height value that is associated with the surface point location is stored.

Abstract: To generate a skin-attached element on a skin surface of an animated character, a region of the skin surface within a predetermined distance from a skin-attached element root position is deformed to form a lofted skin according to one of a plurality of constraint surfaces, where each of the plurality of constraint surfaces does not intersect with each other. A sublamina mesh surface constrained to the lofted skin is created. A two-dimensional version of the skin-attached element is projected onto the sublamina mesh surface. The lofted skin is reverted back to a state of the skin surface prior to the deformation of the region of the skin surface.

Abstract: A method of animating feather elements includes: specifying initial positions for a skin surface and for feather elements; specifying positions for the skin surface at an animated time; determining a feather-ordering sequence for placing the feather elements on the skin surface; determining positions for skirt elements that provide spatial extensions for the skin surface at the animated time; determining positions for feather-proxy elements that provide spatial extensions for the feather elements at the animated time; and determining positions for the feather elements at the animated time by extracting the feather elements from the feather-proxy elements. The feather-proxy elements are determined from the skirt elements according to the feather-ordering sequence, and the feather-proxy elements satisfy a separation criterion for avoiding intersections between the feather-proxy elements.

Abstract: The surface of a body of water can be animated by deconstructing a master wave model into several layer models and then reconstructing the layer models to form an optimized wave model. A wave model is obtained, which describes the wave surfaces in a body of water. The wave model is comprised of a range of wave model frequencies over a given area. A primary layer model, secondary and tertiary layer models are constructed based on portions of the wave model frequencies. An optimized wave model is constructed by combining the primary, secondary, and tertiary layer models. A wave surface point location is determined within the given area. A wave height value is computed for the wave surface point location using the optimized wave model. The wave height value that is associated with the surface point location is stored.