This paper presents an efficient collision detection algorithm designed to support assembly and maintenance simulation of complex assemblies. This approach exploits the surface knowledge, available from CAD models, to determine intersecting surfaces. It proposes a novel combination of Overlapping Axis-Aligned Bounding Box (OAABB) and R-tree structures to gain considerable performance improvemen...

This paper presents optimizations for faster view frustum culling (VFC) for axis aligned bounding box (AABB) and oriented bounding box (OBB) hierarchies. We exploit frame-to-frame coherency by caching and by comparing against previous distances and rotation angles. By using an octant test, we potentially halve the number of plane tests needed, and we also evaluate masking, which is a well-known...

We present an algorithm for fast optimization of bounding volume hierarchies (BVH) for efficient ray tracing. We perform selective updates of the hierarchy driven by the cost model derived from the surface area heuristic. In each step the algorithm updates a fraction of the hierarchy nodes in order to minimize the overall hierarchy cost. The updates are realized by simple operations on the tree...

The paper studies the propagation of shear elastic waves in a layer on basis simplified Cosserat model. One planes bounding is loaded with inertial mass, second boundary fixed. possibility appearance localized (surface) wave along surface established. velocity determined short-wave and long-wave approximations.

We study the undulations instability, also known as the Helfrich-Hurault or layers buckling effect, in a cholesteric liquid crystal confined between two parallel plates and caused by an electric field applied along the normal to layers. The cholesteric pitch is much smaller than the cell thickness but sufficiently large for optical study. The three-dimensional patterns of the undulating layers ...

We introduce shape cropping as the segmentation of a bounding geometry of an object as observed by sensors with different modalities. Segmenting a bounding volume is a preliminary step in many multi-view vision applications that consider or require the recovery of 3D information, in particular in multi-camera environments. Recent vision systems used to acquire such information often combine sen...