Discrete Representation of Spatial Objects in Computer Vision

1. Front Matter

   Pages i-xi

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2. Introduction

   • Longin Jan Latecki

   Pages 1-31

3. Basic Definitions and Propositions

   • Longin Jan Latecki

   Pages 33-43

4. Graph-based Approach

   • Longin Jan Latecki

   Pages 45-71

5. Axiomatic Approach

   • Longin Jan Latecki

   Pages 73-91

6. Embedding Approach

   • Longin Jan Latecki

   Pages 93-106

7. Continuous Representations of Real Objects

   • Longin Jan Latecki

   Pages 107-145

8. Digitization Approach

   • Longin Jan Latecki

   Pages 147-202

9. Back Matter

   Pages 203-216

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One of the most natural representations for modelling spatial objects in computers is discrete representations in the form of a 2D square raster and a 3D cubic grid, since these are naturally obtained by segmenting sensor images. However, the main difficulty is that discrete representations are only approximations of the original objects, and can only be as accurate as the cell size allows. If digitisation is done by real sensor devices, then there is the additional difficulty of sensor distortion. To overcome this, digital shape features must be used that abstract from the inaccuracies of digital representation. In order to ensure the correspondence of continuous and digital features, it is necessary to relate shape features of the underlying continuous objects and to determine the necessary resolution of the digital representation.
This volume gives an overview and a classification of the actual approaches to describe the relation between continuous and discrete shape features that are based on digital geometric concepts of discrete structures.
Audience: This book will be of interest to researchers and graduate students whose work involves computer vision, image processing, knowledge representation or representation of spatial objects.

• 3D
• classification
• computer vision
• image processing
• knowledge
• knowledge representation
• modeling

• Department of Computer Science, University of Hamburg, Hamburg, Germany

  Longin Jan Latecki

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