Titlebook: Volume Graphics; Min Chen,Arie E. Kaufman,Roni Yagel Book 2000 Springer-Verlag London Limited 2000 3D.3D graphics.Animation.Nurbs.computer

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Minimally Thin Discrete Triangulationics [1]. In particular, it is helpful for ensuring the use of exact arithmetic and thus avoiding rounding errors. This may also help to raise significantly the computational efficiency of some computer graphics algorithms, in particular, of the ray-tracing algorithm [2]. Based on a detailed analysis

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Smooth Boundary Surfaces from Binary 3D Datasetsen to create the illusion of reality. Internally, two inherently distinct types of representations exist. The . representation uses a collection of geometric objects such as polygons or splines to represent the model. The . representation samples the object and represents it by a discrete collection

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Manufacturing Isovolumesral isosurfaces provides even more insight. The difference is that a single isosurface displays a point solution. Seeing several isosurfaces also provides “first derivative” information, that is, how fast values are changing in certain regions.

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3D Scan-Conversion of CSG Models into Distance, Closest-Point and Colour Volumesdataset. Given this kind of representation, numerous algorithms have been developed to process, manipulate and render volumes. Volume datasets may be generated in a variety of ways. Certain scanning devices, e.g. MRI and CT, generate a rectilinear grid of scalar values directly from their scanning p

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NURBS Volume for Modelling Complex Objectse boundaries. To construct free-form boundaries, Non-Uniform Rational B-Spline (NURBS) curves and surfaces are widely used in various modelling systems. NURBS has become the . industry standard for the representation, design and data exchange of geometric information processed by computers. Its exce

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Extending Hypertextures to Non-Geometrically Definable Volume Datadical imaging), has led to the development of powerful rendering tools such as . and . (see [1, 2] for a description). However, the images produced by such applications are somewhat bland when compared to their real-life counterparts. The surfaces of the objects appear smooth and plastic (Figure 13.

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Book 2000 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 descrip