Fundamentals of computer graphics

"An A K Peters book."

IntroductionGraphics AreasMajor ApplicationsGraphics APIsGraphics PipelineNumerical IssuesEfficiencyDesigning and Coding Graphics ProgramsMiscellaneous MathSets and MappingsSolving Quadratic EquationsTrigonometryVectorsCurves and SurfacesLinear InterpolationTrianglesRaster ImagesRaster DevicesImages, Pixels, and GeometryRGB ColorAlpha CompositingRay TracingThe Basic Ray-Tracing AlgorithmPerspectiveComputing Viewing RaysRay-Object IntersectionShadingA Ray-Tracing ProgramShadowsIdeal Specular ReflectionHistorical NotesLinear AlgebraDeterminantsMatricesComputing with Matrices and DeterminantsEigenvalues and Matrix DiagonalizationTransformation Matrices2D Linear Transformations3D Linear TransformationsTranslation and Affine TransformationsInverses of Transformation MatricesCoordinate TransformationsViewingViewing TransformationsProjective TransformationsPerspective ProjectionSome Properties of the Perspective TransformField-of-ViewThe Graphics PipelineRasterizationOperations Before and After RasterizationSimple AntialiasingCulling Primitives for EfficiencySignal ProcessingDigital Audio: Sampling in 1DConvolutionConvolution FiltersSignal Processing for ImagesSampling TheorySurface ShadingDiffuse ShadingPhong ShadingArtistic ShadingTexture MappingLooking Up Texture ValuesTexture Coordinate FunctionsAntialiasing Texture LookupsApplications of Texture MappingProcedural 3D TexturesData Structures for GraphicsTriangle MeshesScene GraphsSpatial Data StructuresBSP Trees for VisibilityTiling Multidimensional ArraysMore Ray TracingTransparency and RefractionInstancingConstructive Solid GeometryDistribution Ray TracingSamplingIntegrationContinuous ProbabilityMonte Carlo IntegrationChoosing Random PointsCurvesCurvesCurve PropertiesPolynomial PiecesPutting Pieces TogetherCubicsApproximating CurvesSummaryComputer AnimationPrinciples of AnimationKeyframingDeformationsCharacter AnimationPhysics-Based AnimationProcedural TechniquesGroups of ObjectsUsing Graphics HardwareHardware OverviewWhat Is Graphics HardwareHeterogeneous MultiprocessingGraphics Hardware Programming: Buffers, State, and ShadersState MachineBasic OpenGL Application LayoutGeometryA First Look at ShadersVertex Buffer ObjectsVertex Array ObjectsTransformation MatricesShading with Per-Vertex AttributesShading in the Fragment ProcessorMeshes and InstancingTexture ObjectsObject-Oriented Design for Graphics Hardware ProgrammingContinued LearningLightRadiometryTransport EquationPhotometryColorColorimetryColor SpacesChromatic AdaptationColor AppearanceVisual PerceptionVision ScienceVisual SensitivitySpatial VisionObjects, Locations, and EventsPicture PerceptionTone ReproductionClassificationDynamic RangeColorImage FormationFrequency-Based OperatorsGradient-Domain OperatorsSpatial OperatorsDivisionSigmoidsOther ApproachesNight TonemappingDiscussionImplicit ModelingImplicit Functions, Skeletal Primitives, and Summation BlendingRenderingSpace PartitioningMore on BlendingConstructive Solid GeometryWarpingPrecise Contact ModelingThe Blob TreeInteractive Implicit Modeling SystemsGlobal IlluminationParticle Tracing for Lambertian ScenesPath TracingAccurate Direct LightingReflection ModelsReal-World MaterialsImplementing Reflection ModelsSpecular Reflection ModelsSmooth-Layered ModelRough-Layered ModelComputer Graphics in GamesPlatformsLimited ResourcesOptimization TechniquesGame TypesThe Game Production ProcessVisualizationBackgroundData TypesHuman-Centered Design ProcessVisual Encoding PrinciplesInteraction PrinciplesComposite and Adjacent ViewsData ReductionExamples

Drawing on an impressive roster of experts in the field, this book offers an ideal resource for computer course curricula as well as a user-friendly personal or professional reference. Focusing on geometric intuition, it gives the necessary information for understanding how images get onto the screen by using the complementary approaches of ray tracing and rasterization. It covers topics common to an introductory course, such as sampling theory, texture mapping, spatial data structure, and splines.