Dreamworks Animation LLC

Google Inc.

Pacific Data Images LLC

Silviu Borac

Galen Gerald Gornowicz

Manfred Ernst

One exemplary process for animating hair includes receiving data representing a plurality of hairs and a plurality of objects in a timestep of a frame of animation. A first tree is populated to represent kinematic objects of the plurality of objects and a second tree is populated to represent dynamic objects of the plurality of objects based on the received data. A first elasticity preconditioner is created to represent internal elastic energy of the plurality of hairs based on the received data. Based on the first tree and the second tree, a first set of potential contacts is determined between two or more hairs of the plurality of hairs or between one or more hairs of the plurality of hairs and one or more objects of the plurality of objects. Positions of the plurality of hairs are determined based on the first set of potential contacts and the first elasticity preconditioner.

Efficient and stable approach to elasticity and collisions for hair animation

In one general aspect, a method can include combining a partition polygon and a generated texture map to form a model of a scene for rendering in three dimensions in a virtual reality space. The generating of the texture map can include projecting a Layered Depth Image sample in a partition polygon to a point in a source camera window space, projecting the point back into the partition polygon as a surface element (surfel), projecting the surfel to a surfel footprint in a target camera window space, projecting from the target camera window space to the partition polygon, sub-pixel samples included in pixels covered by the surfel footprint, projecting the sub-pixel samples from the partition polygon and into the source camera window space, and applying a color weight to each sub-pixel sample based on the location of the sample in the source camera window space.

High quality layered depth image texture rasterization

Simulating dynamics (e.g., physical effects of inertia, forces, wind) on strands (e.g., hair) during computer based animation requires quick and accurate approximations of mathematical curves. Each strand is initially represented as a B-spline curve. Line segments approximating the curve are created by using affine combinations based on the curve's control vertices. Dynamics simulation is performed on the line segment approximation. Once an approximated strand is simulated, it is converted back into a B-spine curve representation for downstream processes, such as rendering. The rendering process displays the simulated strand to the animator.

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Pacifica, CA, United States of America

Silviu Borac