Purpose Augmented reality (AR) obtains increasing acceptance in the operating room. However,
a meaningful augmentation of the surgical view with a 3D visualization of planning data …

Almost 12 years have passed by since we wrote Chaos and Fractals. At the time we were
hoping that our approach of writing a book which would be both accessible without …

In 1953 I realized that the straight line leads to the downfall of mankind. But the straight line
has become an absolute tyranny. The straight line is something cowardly drawn with a rule, …

The vascular anatomy of the liver can be described at three different levels of complexity
according to the use that the description has to serve. The first – conventional – level …

… Heinz-Otto Peitgen had the honor of giving an address on the subject of this book at the
annual meeting of the National Council of Teachers of Mathematics (NCTM) in Chicago.2 This …

Mandelbrot’s fractal geometry provides both a description and a mathematical model for
many of the seemingly complex forms found in nature. Shapes such as coastlines, mountains …

… The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH'87 (Anaheim,
California) course pro gram. Though the five chapters of this book have emerged from …

… Peitgen, “Visualization and interaction techniques for the … Peitgen, “Determination of
bronchopulmonary segments … Peitgen, “Morphometric and structural analysis of vasculature …

For about 200 years now mathematicians have developed the theory of smooth curves and
surfaces in two, three or higher dimensions. These are curves and surfaces that globally may …

… Krass, and HO Peitgen, “Lung lobe segmentation by anatomy-guided 3-D watershed … Link,
and HO Peitgen, “Concepts for rapid application prototyping in medical image analysis and …