We present a new approach to the distributed visualization of geometric algorithms that emphasizes the position of the end user. Concepts are introduced that enable a more ex-ible usage of visualized geometric algorithms, while keeping the task of adapting existing algorithms to the new scheme as simple as possible. A main proposition is that interactivity should not be built into the visualize...

Let Z3 be the affine space of dimension d on the Z3 field. The main goal of this paper is the geometric representation of the maximum linefree set E in Z3. Therefore the complement T of E is the minimum size set in Z3 intersecting all the affine lines in Z3. We describe, from an affine point of view, the geometric structure for d = 2, 3 of set E producing the maximal cardinality. The case d = 4...

Visualization of vessels for diagnostics and intervention are usually done under fluoroscopic X-ray view using intravenous contrast agents, which has potential risks. To avoid this problem an ultrasoundbased approach was investigated. The definition of reproducible geometric measures is important for image guided navigated implantations. Such measures can benefit from geometric body which appro...

We present a map modelling toolkit that meets the special requirements of pedestrian navigation in intelligent environments. Its central component is a graphical editor, which supports the geometric modelling and visualization of built environments in 3D. Multiple levels and their interconnections, such as ramps and staircases, can be represented through layers. The toolkit also integrates a ro...

We present a new approach to the distributed vi-sualization of geometric algorithms that emphasizes the position of the end user. Concepts are introduced that enable a more exible usage of visualized geometric algorithms, while keeping the task of adapting existing algorithms to the new scheme as simple as possible. A main proposition is that interactivity should not be built into the visualize...

We provide elementary geometric arguments to show that the principal point of cameras with small to moderate field of view cannot be reliably estimated from natural, noisy images (the problem is ill-posed). We also show that in robot navigation and other noisy geometric vision applications the exact location of the principal point is irrelevant in practice. In these cases satisfactory metric st...

In this paper, we present the initial findings about a possible geometric interpretation of the BM25 model and a comparison of the BM25 with the Binary Independence Model (BIM) on a two-dimensional space. A Web application was developed in R to show an example of this geometric view on a standard TREC collection. The application is accessible at the following link: http://gmdn.shinyapps.io/shin...