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Reconciliation of geometry and perception in radiation physics / / Benoit Beckers, Pierre Beckers
| Reconciliation of geometry and perception in radiation physics / / Benoit Beckers, Pierre Beckers |
| Autore | Beckers Benoit |
| Pubbl/distr/stampa | London, [England] ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (182 p.) |
| Disciplina | 516.5 |
| Collana | Focus Numerical Methods in Engineering Series |
| Soggetto topico |
Geometry, Projective
Physics - Mathematical models |
| ISBN |
1-118-98450-1
1-118-98448-X 1-118-98449-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Introduction; Chapter 1. Discovering the Central Perspective; 1.1. The musical scale; 1.2. The tonal system; 1.3. Nomenclature of the projections; 1.4. The central projection on the plane; 1.4.1. Principle; 1.4.2. Essential properties; 1.4.3. Basics; 1.5. Proportions and progressions; 1.5.1. Arithmetic progression: AB = CD =; 1.5.2. Geometric progression: BC/AB = CD/BC = r; 1.5.3. Harmonic progression: AB-BC-CD, 1/A, 1/B, 1/C; 1.6. The eighth proposal of Euclid; Chapter 2. Main Properties of Central Projections; 2.1. Straight lines and conics
2.2. Coherence and cross ratio2.2.1. Calculation of cross ratio on a circle; 2.3. Harmonic relation and regularity; 2.4. The foreshortening; 2.4.1. Variations in positions on a straight line; 2.4.2. The critical experiment; 2.4.3. Detailed analysis; 2.5. Homogeneous coordinates; Chapter 3. Any Scene Carried to a Sphere and the Sphere To a Point; 3.1. General concepts; 3.1.1. Point and great circle; 3.1.2. Line and polygon; 3.1.3. Tilling of the sphere; 3.1.4. Areas and volumes; 3.1.5. Spherical trigonometry; 3.2. Cartography of the sphere; 3.2.1. Orthogonal net; 3.2.2. Latitude and longitude 3.2.3. Azimuth3.2.4. Orthodromes and loxodromes; 3.2.5. Earth's surface shape; 3.2.6. Alterations; 3.2.7. Properties of the projection; 3.3. Projection of the sphere on cylinders; 3.3.1. Central projection on the cylinder; 3.3.2. Lambert equal-area projection; 3.3.3. Mercator projection; 3.4. Projection on the plane; 3.4.1. Parallel projection; 3.4.2. Central projection; 3.4.3. Gnomonic projection; 3.4.4. Stereographic projection; 3.4.5. Stereography versus Mercator projection; 3.4.6. Postel projection; 3.4.7. Lambert projection; 3.4.8. Direct computation of azimuthal projections 3.5. Pseudocylindrical projections3.5.1. Coordinates transformation from direct to transversal aspect; 3.5.2. Hammer projection; 3.5.3. Mollweide projection, another pseudo-cylindrical projection; 3.6. Hemisphere tilling; 3.6.1. Presentation of the method; 3.6.2. Exact fulfillment of the aspect ratio constraint; 3.6.3. Approximate fulfillment of the aspect ratio constraint; 3.6.4. Equal-area cells and constant aspect ratio on the hemisphere; 3.6.5. Conclusion; Chapter 4. Geometry And Physics: Radiative Exchanges; 4.1. Geometric wave propagation; 4.2. The radiosity equation 4.2.1. Surface sources4.2.2. Lambert diffuse reflection; 4.2.3. Interactions between surfaces; 4.2.4. Discretization of the radiosity equation; 4.2.5. Properties of the radiosity matrix; 4.3. View factors; 4.4. Ray tracing; 4.4.1. Mesh quality; 4.4.2. Solid angle or view factor; 4.5. Specular reflection of light and sound; Conclusion; Bibliography; Index |
| Record Nr. | UNINA-9910132204503321 |
Beckers Benoit
|
||
| London, [England] ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reconciliation of geometry and perception in radiation physics / / Benoit Beckers, Pierre Beckers
| Reconciliation of geometry and perception in radiation physics / / Benoit Beckers, Pierre Beckers |
| Autore | Beckers Benoit |
| Pubbl/distr/stampa | London, [England] ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (182 p.) |
| Disciplina | 516.5 |
| Collana | Focus Numerical Methods in Engineering Series |
| Soggetto topico |
Geometry, Projective
Physics - Mathematical models |
| ISBN |
1-118-98450-1
1-118-98448-X 1-118-98449-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Introduction; Chapter 1. Discovering the Central Perspective; 1.1. The musical scale; 1.2. The tonal system; 1.3. Nomenclature of the projections; 1.4. The central projection on the plane; 1.4.1. Principle; 1.4.2. Essential properties; 1.4.3. Basics; 1.5. Proportions and progressions; 1.5.1. Arithmetic progression: AB = CD =; 1.5.2. Geometric progression: BC/AB = CD/BC = r; 1.5.3. Harmonic progression: AB-BC-CD, 1/A, 1/B, 1/C; 1.6. The eighth proposal of Euclid; Chapter 2. Main Properties of Central Projections; 2.1. Straight lines and conics
2.2. Coherence and cross ratio2.2.1. Calculation of cross ratio on a circle; 2.3. Harmonic relation and regularity; 2.4. The foreshortening; 2.4.1. Variations in positions on a straight line; 2.4.2. The critical experiment; 2.4.3. Detailed analysis; 2.5. Homogeneous coordinates; Chapter 3. Any Scene Carried to a Sphere and the Sphere To a Point; 3.1. General concepts; 3.1.1. Point and great circle; 3.1.2. Line and polygon; 3.1.3. Tilling of the sphere; 3.1.4. Areas and volumes; 3.1.5. Spherical trigonometry; 3.2. Cartography of the sphere; 3.2.1. Orthogonal net; 3.2.2. Latitude and longitude 3.2.3. Azimuth3.2.4. Orthodromes and loxodromes; 3.2.5. Earth's surface shape; 3.2.6. Alterations; 3.2.7. Properties of the projection; 3.3. Projection of the sphere on cylinders; 3.3.1. Central projection on the cylinder; 3.3.2. Lambert equal-area projection; 3.3.3. Mercator projection; 3.4. Projection on the plane; 3.4.1. Parallel projection; 3.4.2. Central projection; 3.4.3. Gnomonic projection; 3.4.4. Stereographic projection; 3.4.5. Stereography versus Mercator projection; 3.4.6. Postel projection; 3.4.7. Lambert projection; 3.4.8. Direct computation of azimuthal projections 3.5. Pseudocylindrical projections3.5.1. Coordinates transformation from direct to transversal aspect; 3.5.2. Hammer projection; 3.5.3. Mollweide projection, another pseudo-cylindrical projection; 3.6. Hemisphere tilling; 3.6.1. Presentation of the method; 3.6.2. Exact fulfillment of the aspect ratio constraint; 3.6.3. Approximate fulfillment of the aspect ratio constraint; 3.6.4. Equal-area cells and constant aspect ratio on the hemisphere; 3.6.5. Conclusion; Chapter 4. Geometry And Physics: Radiative Exchanges; 4.1. Geometric wave propagation; 4.2. The radiosity equation 4.2.1. Surface sources4.2.2. Lambert diffuse reflection; 4.2.3. Interactions between surfaces; 4.2.4. Discretization of the radiosity equation; 4.2.5. Properties of the radiosity matrix; 4.3. View factors; 4.4. Ray tracing; 4.4.1. Mesh quality; 4.4.2. Solid angle or view factor; 4.5. Specular reflection of light and sound; Conclusion; Bibliography; Index |
| Record Nr. | UNINA-9910825265603321 |
|
Beckers Benoit
|
||
| London, [England] ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||