cartesianToBarycentric

Convert coordinates from Cartesian to barycentric

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Syntax

B = cartesianToBarycentric(TR,ID,C)

Description

B = cartesianToBarycentric(TR,ID,C) returns the barycentric coordinates of the points in C relative to the triangulation object TR. Each row of C contains the Cartesian coordinates of a point with respect to the triangle or tetrahedron indexed by ID. The identification numbers of the triangles or tetrahedra in TR are the corresponding row numbers of the property TR.ConnectivityList.

example

Examples

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Open Live Script

Create a triangulation from a set of points P and triangulation connectivity list T, and plot the triangulation. 

P = [2.5 8.0; 6.5 8.0; 2.5 5.0; 6.5 5.0; 1.0 6.5; 8.0 6.5];
T = [5 3 1; 3 2 1; 3 4 2; 4 6 2];
TR = triangulation(T,P);
triplot(TR)

Figure contains an axes object. The axes object contains an object of type line.

Find the Cartesian coordinates of the third vertex in the first (leftmost) triangle in TR. 

L = TR.ConnectivityList(1,3);
C = TR.Points(L,:)
C = 1×2

    2.5000    8.0000

Convert the point C to barycentric coordinates with respect to the first triangle. 

B = cartesianToBarycentric(TR,1,C)
B = 1×3

     0     0     1

Input Arguments

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Triangulation representation, specified as a scalar triangulation or delaunayTriangulation object.

Data Types: triangulation | delaunayTriangulation

Triangle or tetrahedron identification, specified as a scalar or a column vector whose elements each correspond to a single triangle or tetrahedron in the triangulation object. The identification number of each triangle or tetrahedron is the corresponding row number of the ConnectivityList property.

Data Types: double

Cartesian coordinates, specified as a two-column matrix for 2-D coordinates or a three-column matrix for 3-D coordinates.

Data Types: double

Extended Capabilities

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Thread-Based Environment
Run code in the background using MATLAB® backgroundPool or accelerate code with Parallel Computing Toolbox™ ThreadPool.

Version History

Introduced in R2013a

See Also

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