CGAL 6.2 - Weights: Reference Manual

CGAL 6.2 - Weights

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Reference Manual

##

Dmitry Anisimov
Many geometric algorithms rely on weighted constructions. This package provides a simple and unified interface to different types of weights. In particular, it includes numerous weights with a simple analytic expression, generalized barycentric weights, and weighting regions. All weights are available both in 2D and 3D.
Introduced in: CGAL 5.4
BibTeX: cgal:a-wi-26a
License: LGPL
Windows Demo: CGAL Lab

## Weight Interface

### Concepts

- `BarycentricWeights_2`
- `AnalyticWeightTraits_2`
- `AnalyticWeightTraits_3`

### Analytic Weights

- Uniform Weight
- Shepard Weight
- Inverse Distance Weight
- Three Point Family Weight
- Wachspress Weight
- Authalic Weight
- Mean Value Weight
- Tangent Weight
- Discrete Harmonic Weight
- Cotangent Weight

### Barycentric Weights

- Wachspress Weights
- Mean Value Weights
- Discrete Harmonic Weights

### Weighting Regions

- Uniform Region Weight
- Triangular Region Weight
- Barycentric Region Weight
- Voronoi Region Weight
- Mixed Voronoi Region Weight

## Modules
| Concepts
| Concepts which are used to parameterize and define the functions and classes of this package.
| Analytic Weights
| Models and functions that can be used to compute weights which have a simple analytic expression.
| Barycentric Weights
| Models and functions that can be used to compute barycentric weights with respect to polygons.
| Weighting Regions
| Models and functions that can be used to compute weighting regions.

## Files
file | Weights.h
| A convenience header that includes all weights.