Algorithms

Why Algorithms Matter

Meshing and geometry preprocessing rely on algorithms that are often hidden inside black-box tools. TheMeshProject opens these up — visually, conceptually, and computationally — so engineers can understand how geometry is interpreted, segmented, and transformed.

We focus on algorithms that are modular, readable, and adaptable to real-world workflows.

Algorithms Logo

Basic Algorithms

Feature Line Detection

  • Curvature-based edge detection
  • Sharp edge and ridge extraction
  • Graph-based segmentation cues

Curvature Estimation

  • Discrete differential geometry methods
  • Principal and mean curvature from mesh data
  • Smoothing and stability techniques

Surface Segmentation

  • Region growing and clustering
  • Feature-aware segmentation
  • Topology-preserving partitioning

Mesh Quality Metrics

  • Aspect ratio, skewness, and smoothness
  • Visualization of metric fields
  • Adaptive refinement strategies

Topological Analysis

  • Boundary loops and genus detection
  • Manifold checks and repair strategies
  • Connectivity graphs and adjacency queries

Implementation

Visual Algorithms

We believe algorithms should be seen. Our illustrations and demos help you:

  • Understand how curvature drives feature detection
  • See how segmentation evolves across surfaces
  • Visualize topological structures and defects
  • Explore how algorithms behave on real models

Code & Implementation Notes

Each algorithm comes with::

  • Clean code
  • Implementation tips
  • Input/output structure
  • Detailed documentation

These are designed to be copyable, testable, and adaptable to your own tools.

Further reading...

List of Articles about Algorithms

  • Feature Line Detection in Surface Modeling
    Read more
  • Segmentation Techniques for Complex Geometry
    Read more
  • Curvature on Surfaces: Theoretical Foundations for Discrete Curvature on Triangle Meshes
    Read more
  • Curvature Estimation on Triangle Meshes: From Theory to Implementation
    Read more