In this work we explore a support-induced structural organization of object parts. We introduce the concept of support substructures, which are special subsets of object parts with support and stability. A bottom-up approach is proposed to identify such substructures in a support relation graph. We apply the derived high-level substructures to part-based shape reshuffling between models, resulting in nontrivial functionally plausible model variations that are difficult to achieve with symmetry-induced substructures by the state-of-the-art methods. We also show how to automatically or interactively turn a single input model to new functionally plausible shapes by structure rearrangement and synthesis, enabled by support substructures. To the best of our knowledge no single existing method has been designed for all these applications.

ABSTRACT The triangle‐to‐triangle intersection test is the most basic component of collision detection. And our algorithm, which firstly computes the line segment between triangle A and the plane of triangle B and uses a new method to detect the intersection between this line and triangle B, can reduce about 10% of time on average, compared with the previous fastest algorithm. Our new method divides the plane of triangle B into four quarter planes by two edges of B, and detects intersection depending on the location of the two endpoints of the segment. After using some techniques like avoiding division and projecting the segment and triangle B on XY, YZ, or ZX plane, the total number of arithmetic operations is reduced to at most 87, which is less than any existing algorithms. Copyright © 2013 John Wiley & Sons, Ltd.