Basic geometry

ar = surfacearea(mesh)

Get surface area of mesh.

See also triangleareas

ar = trianglearea(mesh, k)

Get area of triangle k.

See also triangleareas

ar = triangleareas(mesh) :: Vector

Get all triangle areas.

See also surfacearea, trianglearea

nrm = trianglenormal(mesh, k)

Get normal vector of triangle k.

See also trianglenormals

nrm = trianglenormals(mesh)

Get triangle normals.

See also trianglenormal, vertexnormals

vnrm, trm, ar = vertexnormals(mesh[; weight=:area])

Estimate vertex normals from weighted triangle normals. Choices for weight are

• :area area weighting
• :invarea inversearea weighting
• :uniform uniform weighting

See also trianglenormals

Get axis-aligned bounding box of mesh as 3×2 matrix.

Get mesh with vertex positions shifted to zero mean.

Get shifted positions(mesh) with zero mean .

Make transformation that translates and uniformly scales mesh to bounding box [-1,1]^3`.

The transformation is returned as NamedTuple, which defines arguments to transform.

Make transformation that translates and uniformly scales mesh to the unit sphere.

The transformation is returned as NamedTuple, which defines arguments to transform.

Get radius of mesh w.r.t. center.

Return mesh transformed by makecenterdunitcube.

Return mesh transformed by makecenteredunitsphere.

Get mesh with transformed coordinates A*(x-x0)+b.

c = centroid(mesh, k)

Get centroid of triangle k.

c = centroid(mesh)

Get centroid of mesh from area weighted triangle centroids.

len = meanedgelength(mesh)

Get mean edge length.

  U, σ, μ = pca(mesh[; μ=mean(mesh)])

Compute Principle Component Analysis of positions(mesh). The mean positions μ spectral decomposition of the covariance matrix C= X'*X / n, such that

C = U * Diagonal(σ)^2 * U'

and σ[1] >= σ[2] >= σ[3] contains the singular values of the positions.