CHAPTER 6 (1)VECTORVISUALIZATION
CHAPTER 6 (1) VECTOR VISUALIZATION
OUTLINEVector datasets are samplings of vector fields over discrete spatial domainsVisualizingVectorAnumberofthepopularvisualizationmethodsforvectordatasetsVector glyphsVector color codingDisplacement plotsStream objectsTexture-basedvectorvisualizationThesimplified representationofvectorfields
OUTLINE • Vector datasets are samplings of vector fields over discrete spatial domains • Visualizing Vector • A number of the popular visualization methods for vector datasets • Vector glyphs • Vector color coding • Displacement plots • Stream objects • Texture-based vector visualization • The simplified representation of vector fields
OUTLINEVectorVisualization:Application:Computational Fluid Dynamics (CFD)6.1 Mathematical operators to analyze vector fields6.2 Vector glyphs6.3 Scalar Visualization techniques to depict vector fields6.4 Displacement plot technique6.5 Stream objects6.6Useoftextures6.7 Strategies for simplified representation of vector datasets
OUTLINE • Vector Visualization: • Application: Computational Fluid Dynamics (CFD) 6.1 Mathematical operators to analyze vector fields 6.2 Vector glyphs 6.3 Scalar Visualization techniques to depict vector fields 6.4 Displacement plot technique 6.5 Stream objects 6.6 Use of textures 6.7 Strategies for simplified representation of vector datasets
6.1DIVERGENCE（发散度）ANDVORTICITY（旋度）The Divergence of v=(vx,Vy,vz) is the scalar quantityVorticity (curl or rotor of v)ovav.OVdivVOzaxayavovyOVxavov,Ovrot v=ayOzOzaxaxay
6.1 DIVERGENCE (发散度) AND VORTICITY (旋度) • The Divergence of v=(vx ,vy ,vz ) is the scalar quantity • Vorticity (curl or rotor of v) v = + + x y z v v v div x y z v = ( - , - , - ) z z y y x x v v v v v v rot y z z x x y
6.1DIVERGENCEANDVORTICITYv.n米米CdsVdscurvercurveT(a)(b)(c)(d)(e)Fig 6.1. Divergence and curl in 2D. (a) Divergence construction. (b) Source point (c) Sink point(d) Rotor construction. (e) High-vorticity field.SourcepointPositive;SpreadSink point: Negative; Sucked
6.1 DIVERGENCE AND VORTICITY Fig 6.1. Divergence and curl in 2D. (a) Divergence construction. (b) Source point. (c) Sink point. (d) Rotor construction. (e) High-vorticity field. Source point: Positive; Spread Sink point: Negative; Sucked