Linked from

The 12 pages that link to Affine combination, each with the reason it gives.

• Affine transformationBroader topic: These combinations provide the point-based language for defining preservation.

• Barycentric coordinatesNarrower topic: Barycentric coordinates are the coefficients in this general way of combining points.

• Linear combinationCompared with: The coefficient-sum constraint distinguishes affine combinations from unrestricted linear combinations.

• Convex hullRelated: Convex combinations are affine combinations with the additional constraint of nonnegative weights.

• Affine spaceBroader topic: Affine combinations produce points without depending on a chosen origin.

• Affine geometryRelated: It supports constructions such as midpoints and centroids without a metric.

• CollinearityRelated: A point lies on the line through two others exactly when it is their affine combination.

• MidpointRelated: Equal weights of one half produce the midpoint of two points.

• ConvexityCompared with: Allowing negative weights distinguishes affine geometry from convexity.

• Convex combinationCompared with: Dropping nonnegativity gives affine combinations, which can lie outside the points’ convex hull.

• Scalar multiplicationRelated: Its coefficients use scalar multiplication while imposing an additional constraint.

• Affine subspaceRelated: Affine combinations of points in the subspace remain within it.