05346nam 2200673 450 991046027700332120200520144314.01-118-71198-X1-118-71212-9(CKB)3710000000244412(EBL)1789982(SSID)ssj0001335643(PQKBManifestationID)12543354(PQKBTitleCode)TC0001335643(PQKBWorkID)11286183(PQKB)10021362(PQKBManifestationID)16045145(PQKB)21470231(MiAaPQ)EBC1789982(DLC) 2014023354(CaSebORM)9781118712191(Au-PeEL)EBL1789982(CaPaEBR)ebr10933617(CaONFJC)MIL646271(OCoLC)881418267(EXLCZ)99371000000024441220140925h20152015 uy 0engur|n|---|||||txtccrMathematical structures for computer graphics /Steven J. Janke1st editionHoboken, New Jersey :Wiley,2015.©20151 online resource (889 p.)Description based upon print version of record.1-322-15016-8 1-118-71219-6 Includes bibliographical references and index.Machine generated contents note: 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 Details 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 ."This book is for readers who wish to understand the mathematical tools that are necessary to produce three-dimensional models and the resulting screen images. Written by an academic with over 20 years of teaching experience, the intent of the book is to show relevant and focused mathematical derivations that help students understand computer graphics. Intuitive, rather than just theorem/proof discussions set the tone for the presentation. Some algebra, high-school geometry, and trigonometry are presumed for adequate comprehension. Notions of why results are important give the reader a sense of ownership and application. Chapters are written in a two-tiered style so as to allow for flexibility in the level of mathematics desired. Two- and three-dimensional vector geometry is covered using transforms, curves, and surfaces. More focused graphics topics like perspective with the accompanying projective geometry, polyhedral as building blocks for objects, and ray retracing help pull the vector technique together. An assortment of other topics helps round-out the discussion. These include noise, randomness, and L-systems. Plentiful exercises are showcased throughout. An author-maintained web site includes further computer programming notes and solutions to selected exercises"--Provided by publisher."Explains the mathematical tools that are necessary to produce three-dimensional models and the resulting screen images. Demonstrates relevant and focused mathematical derivations that help students understand computer graphics"--Provided by publisher.Computer graphicsMathematicsThree-dimensional imagingMathematicsElectronic books.Computer graphicsMathematics.Three-dimensional imagingMathematics.006.601/51COM012040bisacshJanke Steven J.1947-922086MiAaPQMiAaPQMiAaPQBOOK9910460277003321Mathematical structures for computer graphics2169822UNINA03858nam 22008295 450 99646571820331620200701034220.03-540-39432-X10.1007/b12035(CKB)1000000000212157(SSID)ssj0000320882(PQKBManifestationID)11226746(PQKBTitleCode)TC0000320882(PQKBWorkID)10258588(PQKB)11594510(DE-He213)978-3-540-39432-7(MiAaPQ)EBC3088925(PPN)155191608(EXLCZ)99100000000021215720121227d2003 u| 0engurnn#008mamaatxtccrAdvances in Artificial Life[electronic resource] 7th European Conference, ECAL 2003, Dortmund, Germany, September 14-17, 2003, Proceedings /edited by Wolfgang Banzhaf, Thomas Christaller, Peter Dittrich, Jan, T. Kim, Jens Ziegler1st ed. 2003.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2003.1 online resource (XXXII, 908 p.)Lecture Notes in Artificial Intelligence ;2801Bibliographic Level Mode of Issuance: Monograph3-540-20057-6 Includes bibliographical references at the end of each chapters and index.Artificial Chemistries, Self-Organization, and Self-Replication -- Artificial Societies -- Cellular and Neural Systems -- Evolution and Development -- Evolutionary and Adaptive Dynamics -- Languages and Communication -- Methodologies and Applications -- Robotics and Autonomous Agents.Lecture Notes in Artificial Intelligence ;2801Artificial intelligenceComputer simulationLife sciencesComputersComputer science—MathematicsUser interfaces (Computer systems)Artificial Intelligencehttps://scigraph.springernature.com/ontologies/product-market-codes/I21000Simulation and Modelinghttps://scigraph.springernature.com/ontologies/product-market-codes/I19000Life Sciences, generalhttps://scigraph.springernature.com/ontologies/product-market-codes/L00004Computation by Abstract Deviceshttps://scigraph.springernature.com/ontologies/product-market-codes/I16013Discrete Mathematics in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/I17028User Interfaces and Human Computer Interactionhttps://scigraph.springernature.com/ontologies/product-market-codes/I18067Artificial intelligence.Computer simulation.Life sciences.Computers.Computer science—Mathematics.User interfaces (Computer systems).Artificial Intelligence.Simulation and Modeling.Life Sciences, general.Computation by Abstract Devices.Discrete Mathematics in Computer Science.User Interfaces and Human Computer Interaction.570.113Banzhaf Wolfgangedthttp://id.loc.gov/vocabulary/relators/edtChristaller Thomasedthttp://id.loc.gov/vocabulary/relators/edtDittrich Peteredthttp://id.loc.gov/vocabulary/relators/edtKim Jan, Tedthttp://id.loc.gov/vocabulary/relators/edtZiegler Jensedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK996465718203316Advances in Artificial Life772208UNISA03918oam 2200673K 450 991031523650332120240620230220.0978026228337302622833799780262515467026251546697805853425730585342571(CKB)111004366634270(MH)005430955-7(SSID)ssj0000257963(PQKBManifestationID)12112373(PQKBTitleCode)TC0000257963(PQKBWorkID)10254644(PQKB)11210869(OCoLC)1076491053(OCoLC-P)1076491053(MaCbMITP)6743(MiAaPQ)EBC5966264(oapen)https://directory.doabooks.org/handle/20.500.12854/78500(ScCtBLL)69e376a8-8e42-4cb8-9c7f-35c9ced0bc4a(OCoLC)1128459761(oapen)doab78500(EXLCZ)9911100436663427020181128d1994 uy 0engurcnu|||unuuutxtccrThe theoretical foundation of dendritic function selected papers of Wilfrid Rall with commentaries /edited by Idan Segev, John Rinzel, and Gordon M. ShepherdCambridgeThe MIT Press2003Cambridge :MIT Press,1994.1 online resource (vii, 456 p. )ill. ;Computational neuroscience series"A Bradford book."9780262193566 0262193566 Includes bibliographical references and index.This collection of fifteen previously published papers, some of them not widely available, have been carefully chosen and annotated by Rall's colleagues and other leading neuroscientists. Wilfrid Rall was a pioneer in establishing the integrative functions of neuronal dendrites that have provided a foundation for neurobiology in general and computational neuroscience in particular. This collection of fifteen previously published papers, some of them not widely available, have been carefully chosen and annotated by Rall's colleagues and other leading neuroscientists. It brings together Rall's work over more than forty years, including his first papers extending cable theory to complex dendritic trees, his ground-breaking paper introducing compartmental analysis to computational neuroscience, and his studies of synaptic integration in motoneurons, dendrodendritic interactions, plasticity of dendritic spines, and active dendritic properties. Today it is well known that the brain's synaptic information is processed mostly in the dendrites where many of the plastic changes underlying learning and memory take place. It is particularly timely to look again at the work of a major creator of the field, to appreciate where things started and where they have led, and to correct any misinterpretations of Rall's work. The editors' introduction highlights the major insights that were gained from Rall's studies as well as from those of his collaborators and followers. It asks the questions that Rall proposed during his scientific career and briefly summarizes the answers.DendritesMathematical modelsDendritesMathematical models.612.8/1046Rall Wilfried1367299Segev IdanRinzel JohnShepherd Gordon M.1933-2022,OCoLC-POCoLC-PBOOK9910315236503321The theoretical foundation of dendritic function3390177UNINAThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress