A physically-based shape morphing algorithm for packing and layout applications

In this paper, a fast and efficient shape morphing algorithm specifically designed for packing and layout applications is presented. The shape morphing algorithm is based on a modified mass-spring system which is used to model the morphable object. The shape morphing algorithm mimics a quasi-physical process similar to inflation/deflation of a balloon filled with air. The morphing algorithm starts with an initial manifold geometry and morphs it to obtain a desired volume such that the obtained geometry does not interfere with the objects surrounding it. The change in geometry is achieved by simulating the motion of mass points situated at the vertices of the surface mesh. We propose several modifications to the original mass-spring system and to the underlying physics that governs it to significantly speed-up the shape morphing process. The proposed shape morphing algorithm is designed to address the specific requirements for layout design. The morphable object is represented as a closed non-intersecting surface mesh consisting of triangular facets. An algorithm to automatically generate the mass-spring model from an arbitrary manifold geometry is also proposed. The surface mesh generated by the morphing algorithm is suitable for use during the conceptual design phase of the vehicle layout.

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