Scientific Visualization

1. Basics

• Visualization Design Basics: Data abstraction, visual encoding of information
• Review of Scalar and Vector Calculus: Differential properties, external and critical points
• Data structure and acquisition techniques: Grids, Interpolation & Differentiation

2. Volume Visualization

• Indirect volume visualization: Marching cubes & Contour Tree
• Direct volume visualization: Ray Marching & Monte Carlo Rendering

3. Flow Visualization

• Elementary, point-based flow visualization
• line-based flow visualization: Numerical integration, seeding, rendering
• Surface-based flow visualization
• Topology-based flow visualization(2D & 3D): Topological skeleton, bifurcations, feature flow fields
• Featured-based flow visualization: Vortices, Material Boundaries, Lagrangian coherent structures
• Advanced Methods: Tensor visualization, uncertainty, ensembles