Mobile and sensing devices have already become ubiquitous. They have made tracking
moving objects an easy task. As a result, mobile applications like Uber and many IoT …

Driven by the ever increasing demand in function integration, more and more next
generation high value-added products, such as head-up displays, solar concentrators and …

Hausdorff distance measure is very important in CAD/CAE/CAM related applications. This
manuscript presents an efficient framework and two complementary subalgorithms to directly …

Over the last two decades, the field of geometric curve evolutions has attracted significant
attention from scientific computing. One of the most popular numerical methods for solving …

NURBS are widely used in the design of free curves and surfaces and have been the
industrial standard for product design in CAD/CAM. Ship hull surfaces are complex doubly …

This work investigates the way humans plan their paths in a goal-directed motion, assuming
that a person acts as an optimal controller that plans the path minimizing a certain …

We present an interactive-speed algorithm for computing the Hausdorff Distance (HD)
between two freeform geometric models represented with NURBS surfaces. The algorithm is …

The Hausdorff distance (HD) between two point sets is widely used in similarity measures,
but the high computational cost of HD algorithms restrict their practical use. In this paper, we …

There are practical situations in which the quality of a process or a product can be better
characterized by a functional relationship between a response variable and one or more …

We present a parallel GPU-accelerated algorithm for computing the directed Hausdorff
distance from one NURBS surface to another, within a bound. We make use of axis-aligned …