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ECS 277: Advanced Visualization

ECS 277: Advanced Visualization (Spring 2012, UC Davis). Instructor: Professor Bernd Hamann. This course is concerned with methods for the approximation and interpolation of scientific data. The presented methods are of relevance especially for visualization-based data exploration and analysis.

Lecture 11 - Data Approximation over Triangle Meshes

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Lecture 01 - Introduction

Lecture 02 - Review of Essential Scalar Field Visualization Methods

Lecture 03 - Ray Casting Based on Higher-degree Polynomial Data Approximation

Lecture 04 - Ray Casting Based on Piecewise Trilinear and Tricubic Approximation

Lecture 05 - Review of Essential Vector/Flow Field Visualization Methods

Lecture 06 - Topological Flow Field Analysis/Visualization and Linear Vector Field Theory

Lecture 07 - Introduction to Scattered Data Approximation

Lecture 08 - Shepard's and Hardy's Multiquadric (and Reciprocal Multiquadric) Methods for the Trivariate Case

Lecture 09 - Motivation for Triangulation-based Scattered Data Approximation

Lecture 10 - Curved Elements, Part 1

Lecture 10 - Curved Elements, Part 2

Lecture 11 - Data Approximation over Triangle Meshes

Lecture 12 - Cubic Clough-Tocher Split Scheme for Volumetric/Trivariate Case

Lecture 13 - Data Structure Requirements for Voronoi Diagrams

Lecture 14 - Doo-Sabin Subdivision Scheme

Lecture 15 - Sibson Interpolation for 3D/Volumetric Domains

Lecture 16 - Best Linear Spline Approximation in the Univariate Case