Volume Graphics

1. Front Matter

   Pages i-xxx

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2. Perspectives

   1. Front Matter

      Pages 1-1

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   2. State-of-the-Art in Volume Graphics

      • Arie E. Kaufman

      Pages 3-28

   3. Volume Modelling

      • Gregory M. Nielson

      Pages 29-48

3. Discrete Modelling

   1. Front Matter

      Pages 49-49

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   2. Minimally Thin Discrete Triangulation

      • Valentin E. Brimkov, Reneta P. Barneva, Philippe Nehlig

      Pages 51-70

   3. Smooth Boundary Surfaces from Binary 3D Datasets

      • Daniel Cohen-Or, Arie Kadosh, David Levin, Roni Yagel

      Pages 71-78

   4. Manufacturing Isovolumes

      • Michael Bailey

      Pages 79-93

4. Complex Volumetric Objects

   1. Front Matter

      Pages 95-95

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   2. Constructive Representations of Volumetric Environments

      • Min Chen, John V. Tucker, Adrian Leu

      Pages 97-117

   3. vxt: A Class Library for Object Voxelisation

      • Milos Srámek, Arie E. Kaufman

      Pages 119-134

   4. 3D Scan-Conversion of CSG Models into Distance, Closest-Point and Colour Volumes

      • David E. Breen, Sean Mauch, Ross T. Whitaker

      Pages 135-158

   5. NURBS Volume for Modelling Complex Objects

      • Zhongke Wu, Hock Soon Seah, Feng Lin

      Pages 159-167

5. Volume Rendering

   1. Front Matter

      Pages 169-169

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   2. Voxels versus Polygons: A Comparative Approach for Volume Graphics

      • Dirk Bartz, Michael Meißner

      Pages 171-184

   3. Fast Multi-Resolution Volume Rendering

      • Yuting Yang, Feng Lin, Hock Soon Seah

      Pages 185-197

   4. High-Quality Volume Rendering Using Seed Filling in View Lattice

      • Jarkko Oikarinen, Rami Hietala, Lasse Jyrkinen

      Pages 199-210

   5. Extending Hypertextures to Non-Geometrically Definable Volume Data

      • Richard Satherley, Mark W. Jones

      Pages 211-225

6. Volume Animation

   1. Front Matter

      Pages 227-227

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   2. Fast Volume Rendering and Animation of Amorphous Phenomena

      • Scott A. King, Roger A. Crawfis, Wayland Reid

      Pages 229-242

Min Chen, Arie E. Kaufman and Roni Yage/ Volume graphics is concerned with graphics scenes defined in volume data types, where a model is specified by a mass of points instead of a collection of surfaces. The underlying mathematical definition of such a model is a set of scalar fields, which define the geometrical and physical properties of every point in three­ dimensional space. As true 3D representations, volume data types possess more descriptive power than surface data types, and are morphologically closer to many high-level modelling schemes in traditional surface graphics such as parametric surfaces, implicit surfaces and volume sweeping. The past decade has witnessed significant advances in volume visualisation, driven mainly by applications such as medical imaging and scientific computation. The work in this field has produced a number of volume rendering methods that enable 3D information in a volumetric dataset to be selectively rendered into 2D images. With modern computer hardware, such a process can easily be performed on an ordinary workstation. More importantly, volume-based rendering offers a consistent solution to the primary deficiencies of the traditional surface-based rendering, which include its inability to encapsulate the internal description of a model, and the difficulties in rendering amorphous phenomena. The emergence of volume-based techniques has not only broadened the extent of graphics applications, but also brought computer graphics closer to other scientific and engineering disciplines, including image processing, computer vision, finite element analysis and rapid prototyping.

• 3D
• 3D graphics
• Animation
• Nurbs
• computer graphics
• computer vision
• finite element method
• graphics
• hypertext
• image processing
• imaging
• medical imaging
• modeling
• rendering
• visualization

• Department of Computer Science, University of Wales Swansea, Swansea, UK

  Min Chen

• Department of Computer Science, State University of New York at Stony Brook, Stony Brook, USA

  Arie E. Kaufman

• Insight Therapeutics, TOR Systems, Petach Tikva, Israel

  Roni Yagel

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