Contents Preface to the English Translation Prefaces to the German Editions Preface to the first German Edition Preface to the second German Edition xiv Preface to the third German Edition xiv Part 1. Prologue 1 Chapter 1. Math Becomes a Cult—Description of a Hope Gero von Randow 3 Part 2. Case Studies 5 Chapter 2. The Mathematics of the Compact Disc Jack H. van Lint 7 Words and codes 7 A simple example 7 From music to audiobits 9 Reed–Solomon codes 9 The compact disc 12 References 14 Chapter 3. Image Processing and Imaging for Operation Planning in Liver Surgery Heinz-Otto Peitgen, Carl Evertsz, Bernhard Preim, Dirk Selle, Thomas Schindewolf, and Wolf Spindler 15 1. Introduction 15 2. Medical background 16 3. Architecture of a surgery planning system 17 4. Liver and tumor segmentation 18 5. Vessel segmentation and analysis 20 6. Visualization and exploration of the analysed data 23 7. Summary 25 8. Prospect 26 References 26 Chapter 4. The Quickest Path to the Goal Ralf Borndorfer, ¨ Martin Grotschel ¨ and Andreas Lobel ¨ 27 1. Historical overture 27 v xi xiii xiii
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