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Mathematical structures for computer graphics / / Steven J. Janke
Mathematical structures for computer graphics / / Steven J. Janke
Autore Janke Steven J. <1947->
Pubbl/distr/stampa Hoboken, New Jersey : , : Wiley, , 2015
Descrizione fisica 1 online resource (xv, 392 pages) : illustrations
Disciplina 006.601/51
Soggetto topico Computer graphics - Mathematics
Three-dimensional imaging - Mathematics
ISBN 1-118-71212-9
1-118-71198-X
Classificazione 007.642
006.601/51
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface iii -- 1 Basics -- 1 1.1 Graphics Pipeline -- 2 1.2 Mathematical Descriptions -- 5 1.3 Position -- 6 1.4 Distance -- 9 1.5 Complements and Detail -- 13 1.6 Exercises -- 17 2 Vector Algebra -- 21 2.1 Basic Vector Characteristics -- 22 2.2 Two Important Products -- 31 2.3 Complements and Details -- 42 2.4 Exercises -- 46 3 Vector Geometry -- 49 3.1 Lines & Planes -- 49 3.2 Distances -- 55 3.3 Angles -- 63 3.4 Intersections -- 65 3.5 Additional Key Applications -- 73 3.6 Homogeneous Coordinates -- 86 3.7 Complements and Details -- 90 3.8 Exercises -- 94 4 Transformations -- 99 4.1 Types of Transformations -- 100 4.2 Linear Transformations -- 101 4.3 Three dimensions -- 113 4.4 Affine Transformations -- 123 4.5 Complements and Details -- 134 4.6 Exercises -- 145 5 Orientation -- 149 5.1 Cartesian Coordinate Systems -- 151 5.2 Cameras -- 159 5.3 Other Coordinate Systems -- 182 5.4 Complements and Details -- 190 5.5 Exercises -- 193 6 Polygons & Polyhedra -- 197 6.1 Triangles -- 197 6.2 Polygons -- 213 6.3 Polyhedra -- 230 6.4 Complements and Details -- 245 6.5 Exercises -- 250 7 Curves & Surfaces -- 255 7.1 Curve Descriptions -- 256 7.2 Bezier Curves -- 268 7.3 B-Splines -- 278 7.4 NURBS -- 295 7.5 Surfaces -- 300 7.6 Complements and Details -- 311 7.7 Exercises -- 316 8 Visibility -- 321 8.1 Viewing -- 321 8.2 Perspective Transformation -- 323 8.3 Hidden Surfaces -- 333 8.4 Ray Tracing -- 344 8.5 Complements and Details -- 351 8.6 Exercises -- 356 9 Lighting -- 359 9.1 Color Coordinates -- 359 9.2 Elementary Lighting Models -- 364 9.3 Global Illumination -- 384 9.4 Textures -- 391 9.5 Complements and Details -- 403 9.6 Exercises -- 408 10 Other Paradigms -- 411 10.1 Pixels -- 412 10.2 Noise -- 421 10.3 L-Systems -- 435 10.4 Exercises -- 443 A Geometry & Trigonometry -- 447 A.1 Triangles -- 447 A.2 Angles -- 449 A.3 Trigonometric Functions -- 450 B Linear Algebra -- 455 B.1 Systems of Linear Equations -- 455 B.2 Matrix Properties -- 458 B.3 Vector Spaces 460.
Record Nr. UNINA-9910796078103321
Janke Steven J. <1947->  
Hoboken, New Jersey : , : Wiley, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical structures for computer graphics / / Steven J. Janke
Mathematical structures for computer graphics / / Steven J. Janke
Autore Janke Steven J. <1947->
Pubbl/distr/stampa Hoboken, New Jersey : , : Wiley, , 2015
Descrizione fisica 1 online resource (xv, 392 pages) : illustrations
Disciplina 006.601/51
Soggetto topico Computer graphics - Mathematics
Three-dimensional imaging - Mathematics
ISBN 1-118-71212-9
1-118-71198-X
Classificazione 007.642
006.601/51
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface iii -- 1 Basics -- 1 1.1 Graphics Pipeline -- 2 1.2 Mathematical Descriptions -- 5 1.3 Position -- 6 1.4 Distance -- 9 1.5 Complements and Detail -- 13 1.6 Exercises -- 17 2 Vector Algebra -- 21 2.1 Basic Vector Characteristics -- 22 2.2 Two Important Products -- 31 2.3 Complements and Details -- 42 2.4 Exercises -- 46 3 Vector Geometry -- 49 3.1 Lines & Planes -- 49 3.2 Distances -- 55 3.3 Angles -- 63 3.4 Intersections -- 65 3.5 Additional Key Applications -- 73 3.6 Homogeneous Coordinates -- 86 3.7 Complements and Details -- 90 3.8 Exercises -- 94 4 Transformations -- 99 4.1 Types of Transformations -- 100 4.2 Linear Transformations -- 101 4.3 Three dimensions -- 113 4.4 Affine Transformations -- 123 4.5 Complements and Details -- 134 4.6 Exercises -- 145 5 Orientation -- 149 5.1 Cartesian Coordinate Systems -- 151 5.2 Cameras -- 159 5.3 Other Coordinate Systems -- 182 5.4 Complements and Details -- 190 5.5 Exercises -- 193 6 Polygons & Polyhedra -- 197 6.1 Triangles -- 197 6.2 Polygons -- 213 6.3 Polyhedra -- 230 6.4 Complements and Details -- 245 6.5 Exercises -- 250 7 Curves & Surfaces -- 255 7.1 Curve Descriptions -- 256 7.2 Bezier Curves -- 268 7.3 B-Splines -- 278 7.4 NURBS -- 295 7.5 Surfaces -- 300 7.6 Complements and Details -- 311 7.7 Exercises -- 316 8 Visibility -- 321 8.1 Viewing -- 321 8.2 Perspective Transformation -- 323 8.3 Hidden Surfaces -- 333 8.4 Ray Tracing -- 344 8.5 Complements and Details -- 351 8.6 Exercises -- 356 9 Lighting -- 359 9.1 Color Coordinates -- 359 9.2 Elementary Lighting Models -- 364 9.3 Global Illumination -- 384 9.4 Textures -- 391 9.5 Complements and Details -- 403 9.6 Exercises -- 408 10 Other Paradigms -- 411 10.1 Pixels -- 412 10.2 Noise -- 421 10.3 L-Systems -- 435 10.4 Exercises -- 443 A Geometry & Trigonometry -- 447 A.1 Triangles -- 447 A.2 Angles -- 449 A.3 Trigonometric Functions -- 450 B Linear Algebra -- 455 B.1 Systems of Linear Equations -- 455 B.2 Matrix Properties -- 458 B.3 Vector Spaces 460.
Record Nr. UNINA-9910822457303321
Janke Steven J. <1947->  
Hoboken, New Jersey : , : Wiley, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui