Browsing by Subject "Deformations"
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Item Deformations on tori(Texas Tech University, 2006-05) Bumpus, J'Lee W.; Williams, G. Brock; Solynin, Alexander Y.; Pearce, Kent; Barnard, Roger W.; Dayawansa, Wijesuriya P.Deformations of Riemann surfaces have been studied for some time. The prominent deformation actions along surfaces are conformal weldings and the earthquake maps developed by William Thurston and Curtis McMullen. Previously, these deformations have required that a surface be cut open along a geodesic. We describe actions similar to conformal weldings and earthquakes in which cutting along a geodesic is not required. In particular, we explore the results of cutting a compact, Euclidean Riemann surface along a circle and applying similar actions. Using the discrete conformal approximations of circle packing, we describe a method by which these actions can be numerically estimated.Item Deformations on tori(2006-05) Bumpus, J'Lee W.; Williams, G. Brock; Solynin, Alexander Y.; Pearce, Kent; Barnard, Roger W.; Dayawansa, Wijesuriya P.Deformations of Riemann surfaces have been studied for some time. The prominent deformation actions along surfaces are conformal weldings and the earthquake maps developed by William Thurston and Curtis McMullen. Previously, these deformations have required that a surface be cut open along a geodesic. We describe actions similar to conformal weldings and earthquakes in which cutting along a geodesic is not required. In particular, we explore the results of cutting a compact, Euclidean Riemann surface along a circle and applying similar actions. Using the discrete conformal approximations of circle packing, we describe a method by which these actions can be numerically estimated.Item Performance-Guided Character Bind Pose for Deformations(2011-08-08) Pena, BenitoCurrent production methods for creating a motion system for a deformable digital character model involve providing an underlying joint structure based o of a T-Pose, A-Pose or another arbitrary bind pose of the character. A bind pose is required to establish the skeleton-to-geometry spatial relationship that will be used as a mathematical reference to determine geometry deformations in animated poses. Using a set of human motion capture performances as input animation, the impact of the standard T-Pose and A-Pose on the stretching and compression of human character model geometry is compared relative to novel mean poses derived from each performance. Results demonstrate that using an averaged joint position of each specific performance as the bind pose for the performance reduces the overall deformation of the model. Appropriate applications of the mean pose as a bind pose could impact the resources required to repair deformation artifacts in animated deformable digital characters.