Many textiles do not noticeably stretch under their own weight. Unfortunately, for better performance many cloth solvers disregard this fact. We propose a method to obtain very low strain along the warp and weft direction using Constrained Lagrangian Mechanics and a novel fast projection method. The resulting algorithm acts as a velocity filter that easily integrates into existing simulation code.

Many textiles do not noticeably stretch under their own weight. Unfortunately, for better performance many cloth solvers disregard this fact. We propose a method to obtain very low strain along the warp and weft direction using Constrained Lagrangian Mechanics and a novel fast projection method. The resulting algorithm acts as a velocity filter that easily integrates into existing simulation code.

Figure 1: Our performance-capture approach excels at capturing and retargeting mouth and eyelid motion accurately. AbstractHuman beings are naturally sensitive to subtle cues in facial expressions, especially in areas of the eyes and mouth. Current facial motion capture methods fail to accurately reproduce motions in those areas due to multiple limitations. In this paper, we present a new performance capture method that focuses on the perceptually important contour features on the face. Additionally, the output of our two-step optimization scheme is also easily editable by an animator. To illustrate the strength of our system, we present a retargeting application that incorporates primary contour lines to map a performance with lip-sync from an actor to a creature.

In [1] Optimal Control methods over re-parametrization for curve and surface design were introduced. The advantage of Optimal Control over Global Minimization such as in [17] is that it can handle both approximation and interpolation. Moreover a cost function is introduced to implement a design objective (shortest curve, smoothest one etc...). The present work introduces the Optimal Control over the knot vectors of non-uniform B-Splines.An interesting aspect is that the interpolation or the approximation matrix might become singular due to invalid knot vector values with respect to the current parametrization (violation of Schoenberg-Whitney condition). This situation is dealt naturally within the Optimal Control framework. A geometric description of the resulting null space is provided as well.