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Contents

Abstract i

List of Illustrations v

1 Introduction 1

1.1 Visualizing Volume Data......................... 2

1.2 Volume Segmentation........................... 6

2 Tri-Iinear Representation of Segmented Volumes 10

2.1 Multi-material Contouring........................ 10

2.1.1 Classification method....................... 10

2.1.2 Characterization of the Contours................ 13

2.2 Set Operations on Multi-material Contours............... 15

2.2.1 Operations on Two Materials.................. 15

2.2.2 Operations for Three or More Materials ............ 17

2.3 Results................................... 18

3 Applications using Tri-Iinear Contours 20

3.1 Building Scalars from Existing Segmentation.............. 20

3.2 Importing Iso-surfaces .......................... 21

3.3 Tri-Iinear contours with Interactive Segmentation........... 23

3.4 GPU-Implementation........................... 24

4 Painting-based Segmentation 26

4.1 Segmentation with Graph-cut...................... 27