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E-grāmata: Reconciliation of Geometry and Perception in Radiation Physics

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  • Formāts: EPUB+DRM
  • Izdošanas datums: 09-Jul-2014
  • Izdevniecība: ISTE Ltd and John Wiley & Sons Inc
  • Valoda: eng
  • ISBN-13: 9781118984505
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Reconciliation of Geometry and Perception in Radiation PhysicsPalielināt
  • Formāts: EPUB+DRM
  • Izdošanas datums: 09-Jul-2014
  • Izdevniecība: ISTE Ltd and John Wiley & Sons Inc
  • Valoda: eng
  • ISBN-13: 9781118984505
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Reconciliation of Geometry and Perception in Radiation Physics approaches the topic of projective geometry as it applies to radiation physics and attempts to negate its negative reputation. With an original outlook and transversal approach, the book emphasizes common geometric properties and their potential transposition between domains. After defining both radiation and geometric properties, authors Benoit and Pierre Beckers explain the necessity of reconciling geometry and perception in fields like architectural and urban physics, which are notable for the regularity of their forms and the complexity of their interactions.
Introduction ix
Chapter 1 Discovering the Central Perspective
1(30)
1.1 The musical scale
1(6)
1.2 The tonal system
7(3)
1.3 Nomenclature of the projections
10(3)
1.4 The central projection on the plane
13(8)
1.4.1 Principle
14(1)
1.4.2 Essential properties
15(3)
1.4.3 Basics
18(3)
1.5 Proportions and progressions
21(4)
1.5.1 Arithmetic progression: AB = CD =...
21(1)
1.5.2 Geometric progression
22(1)
1.5.3 Harmonic progression: AB -- BC -- CD
23(2)
1.6 The eighth proposal of Euclid
25(6)
Chapter 2 Main Properties of Central Projections
31(38)
2.1 Straight lines and conies
31(2)
2.2 Coherence and cross ratio
33(8)
2.2.1 Calculation of cross ratio on a circle
37(4)
2.3 Harmonic relation and regularity
41(3)
2.4 The foreshortening
44(16)
2.4.1 Variations in positions on a straight line
47(2)
2.4.2 The critical experiment
49(5)
2.4.3 Detailed analysis
54(6)
2.5 Homogeneous coordinates
60(9)
Chapter 3 Any Scene Carried to a Sphere and the Sphere to a Point
69(56)
3.1 General concepts
69(14)
3.1.1 Point and great circle
70(2)
3.1.2 Line and polygon
72(3)
3.1.3 Tilling of the sphere
75(2)
3.1.4 Areas and volumes
77(4)
3.1.5 Spherical trigonometry
81(2)
3.2 Cartography of the sphere
83(10)
3.2.1 Orthogonal net
84(1)
3.2.2 Latitude and longitude
85(1)
3.2.3 Azimuth
86(2)
3.2.4 Orthodromes and loxodromes
88(4)
3.2.5 Earth's surface shape
92(1)
3.2.6 Alterations
92(1)
3.2.7 Properties of the projection
93(1)
3.3 Projection of the sphere on cylinders
93(6)
3.3.1 Central projection on the cylinder
94(1)
3.3.2 Lambert equal-area projection
95(2)
3.3.3 Mercator projection
97(2)
3.4 Projection on the plane
99(14)
3.4.1 Parallel projection
100(1)
3.4.2 Central projection
100(1)
3.4.3 Gnomonic projection
101(1)
3.4.4 Stereographic projection
102(1)
3.4.5 Stereography versus Mercator projection
103(1)
3.4.6 Postel projection
104(1)
3.4.7 Lambert projection
104(6)
3.4.8 Direct computation of azimuthal projections
110(3)
3.5 Pseudocylindrical projections
113(4)
3.5.1 Coordinates transformation from direct to transversal aspect
113(1)
3.5.2 Hammer projection
114(2)
3.5.3 Mollweide projection, another pseudo-cylindrical projection
116(1)
3.6 Hemisphere tilling
117(8)
3.6.1 Presentation of the method
117(2)
3.6.2 Exact fulfillment of the aspect ratio constraint
119(1)
3.6.3 Approximate fulfillment of the aspect ratio constraint
120(1)
3.6.4 Equal-area cells and constant aspect ratio on the hemisphere
121(3)
3.6.5 Conclusion
124(1)
Chapter 4 Geometry and Physics: Radiative Exchanges
125(34)
4.1 Geometric wave propagation
125(3)
4.2 The radiosity equation
128(12)
4.2.1 Surface sources
129(3)
4.2.2 Lambert diffuse reflection
132(2)
4.2.3 Interactions between surfaces
134(1)
4.2.4 Discretization of the radiosity equation
135(2)
4.2.5 Properties of the radiosity matrix
137(3)
4.3 View factors
140(3)
4.4 Ray tracing
143(9)
4.4.1 Mesh quality
144(7)
4.4.2 Solid angle or view factor
151(1)
4.5 Specular reflection of light and sound
152(7)
Conclusion 159(2)
Bibliography 161(6)
Index 167
Benoit Beckers is Associate Professor at Compičgne University of Technology, France. His research focuses on solar radiation and natural light in architectural and urban projects, on geometrical methods in numerical simulation and on the perception of waves in their physical and cultural environment.

Pierre Beckers is Emeritus Professor at the University of Ličge, Belgium. His research is principally conducted within the framework of the finite element method, computer graphics, data visualization, and computational geometry.
Biežāk uzdotie jautājumi par e-grāmatām Biežāk uzdotie jautājumi par e-grāmatām
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