## Hamish Carr

Welcome to my homepage.
I am a member of the Visualization and Virtual Reality Group> at the University of Leeds. I am interested in almost anything that combines geometry, computers and a visual element. This includes computer graphics, computational geometry, scientific and medical visualization, and graph theory.

**Teaching:**

I have taught Computer Graphics, Advanced Computer Graphics and Scientific & Medical Visualization in the past, and am currently teaching Software Engineering.
**Publications:**

I keep a periodically updated archive of journal papers and conference publications.
**Post-Graduate Students:**

I am currently looking for post-graduate students in graphics, visualization, computational geometry and computational topology. I am particularly interested in students with demonstrated ability in mathematics, graphics, visualization, parallel computation and geometric reasoning.

**Research:**

I continue to be interested in topics related to topology and geometry in graphics and visualization. Here are some examples of the type of work I do:

- Computational Topology
- Contour Tree Computation
- Path Seeds for Contour Extraction
- Piecewise Continuation of Single Contours
- Topological Simplification
- Topological Properties of Level Set Segmentation

- Relationships between Statistics, Geometry, Topology and Algorithmic Efficiency
- Histograms and Isosurface Statistics
- Statistical Analysis of Span Space
- Statistical Signatures of Spatial Data

- Side-Effects of Mathematical Modelling
- Artifacts of Simplicial Subdivision
- Analysis of Trilinear Marching Cubes
- Topological Analysis of Non-Linear Interpolants
- Geometric & Topological Isosurface Quality

- Algorithmic Efficiency of Visualization
- Scalable Analysis for Visualization
- Algorithmic Acceleration of Visualization
- Parallel & Distributed Topological Analysis

- Topological Interfaces for Visualization
- Flexible Isosurfaces
- Topological Volume Rendering
- Topological Initialization of Level Set Segmentation
- Topological Comparisons of Multi-Variate Fields
- Visual Representations of Topological Abstractions

- Mathematical Foundations of Visualization
- Visualization in Medicine
- Geometric Quantitation
- Topological Regions of Interest (ROIs)
- Volumetric Queries

- Visualization in the Sciences
- Molecular Modelling
- Geology & Geosciences
- Mathematical Physics & Chemistry

- Visualization in Engineering
- Urban LiDAR Capture & Analysis
- Engineering Simulations

- General Computer Graphics