Lastly, we are still lacking a geometric interpretation for the above equations. The depth of indentation u is given by: (2. As showed in Figure 1, an elastic sphere of radius R indents an elastic half-space to depth u, and thus creates a contact area of radius (3 2. Adding more joints would increase the number of unknowns and add more sections to the above piece-wise-defined functions. Contact between a sphere and an elastic half-space. Furthermore, above we have only discussed the situation with two curves and one joint.
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Due to the time constraint of this project, we were not able to implement this into our code and build an associated user interface for creating multiple splines. Similar to the one-spline case, these can be translated into a linear program problem which can be solved. To recap, the problem we want to solve is, given a curve \(\gamma \), what stiffness profiles \(K\) can be generated? For each point \(s\) on our curve \(\gamma: (0,\ell) \to \mathbb\right. In reality, the uneven edge of the cylinder may create an initial uplift at.
Elastic Reality allows to morph video as well as still images. results demonstrated that the elastic postbuckling response of SGI and NSD. One of the distinctive features of Elastic Reality is that it uses splines as opposed to points to define the morphing area. We will conclude by discussing a more generalised case involving joint curves. Elastic Reality This is one of the top line programs used for morphing.
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Hence, we wish to solve the second problem.īelow, we will give a full formulation of our main problem, and discuss how we transformed this into MATLAB code and created a user interface.
However, we are more interested in finding the stiffness profile of a beam which will result in a curved shape \(\gamma\) of our choice. Silhouette uses a stereoscopic workflow to create accolade winning rotoscope as well as non destructive paint, matting, keying, warping, morphing and 2D-3D. This is an excellent post production tool for visual effects professionals and graphic art designers. First, given the stiffness profile \(K\), what deformed shapes \(\gamma\) can be generated? Second, given a curve \(\gamma\), what stiffness profiles \(K\) can be generated? In answering the first problem we will find the curve that will result from bending a beam with a given width profile. Comprehensive Silhouette Training: Putting Other Visual Effects Tools in the Shade. Two different questions arise from this formulation. In Lagrangian mechanics, this occurs when energy is minimised, since this implies that there is no other configuration of the system which would result in lower overall energy and thus be optimal instead.
A model created using the concept of active bending ( source)įor the flat beam to remain bent as the desired curve, we must ensure that the beam assumes this form at its equilibrium point.
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