A Formal Model of Visualization in Computer Graphics Systems

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Springer Science & Business Media, Apr 4, 1990 - Computers - 100 pages
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The 18 research articles of this volume discuss the major themes that have emerged from mathematical and statistical research in the epidemiology of HIV. The opening paper reviews important recent contributions. Five sections follow: Statistical Methodology and Forecasting, Infectivity and the HIV, Heterogeneity and HIV Transmission Dynamics, Social Dynamics and AIDS, and The Immune System and The HIV. In each, leading experts in AIDS epidemiology present the recent results. Some address the role of variable infectivity, heterogeneous mixing, and long periods of infectiousness in the dynamics of HIV; others concentrate on parameter estimation and short-term forecasting. The last section looks at the interaction between the HIV and the immune system.
 

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Contents

Introduction
1
12 Overviews of Computer Graphics Systems
3
122 Viewing Pipeline
6
123 Picture Storage
8
13 Related Work
9
132 Mallgrens Specification
10
133 Detailed Viewing Pipeline
11
134 Comments
12
52 Representation of Visualizing Nets
50
53 Geometries and Geometry Transformations
51
533 Geometry Transformations
52
54 Pictures and Picture Transformations
53
542 Picture Transformations
55
55 Pictorializing Transformations
56
552 Pictorializing a Lattice Geometry
57
553 Pictorializing a Line Geometry
58

Mathematical Framework
15
22 Operations on Correspondences
16
23 Equalities
17
24 Extensions of Correspondences
21
Formal Model of Visualization
25
312 Picture Sum
26
314 Geometric Transformations
27
317 Pictorializing Transformations
28
319 Equalities
29
32 Visualizing Nets
31
33 Specifying Visualizations in Conventional Systems
33
331 Polyline in GKS
34
332 Polymarker in GKS
35
333 Line in Postscript
36
335 Comments
39
Graphical Nucleus
41
412 Sound Property of Primitives
43
42 Graphical Nucleus
44
44 Optimization Considerations
47
Implementation of a Graphical Nucleus
49
56 Backend Display Function peval
60
Extending a Graphical Nucleus
63
62 Picture Storage
65
63 Generalized Texts
66
Conclusion
69
Appendices
75
Proofs of Propositions and Theorems
77
pNucleus Reference Manual
85
B31 Control Functions
86
B32 Graphical Functions
87
B33 Utility Functions
89
B4 Formal Syntax of the pNucleus System
90
B43 Pictures
91
B5 Examples
92
Implementation Issues in pNucleus
95
C2 Transformations for mapping a rectangle onto a quadrangle
96
C22 TwoDimensional Projective Transformation
97
Bibliography
99
Copyright

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Algebraic 3-D Modeling
Andreas Hartwig
No preview available - 1996

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