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cartesianToBarycentric

Convert coordinates from Cartesian to barycentric

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Syntax

B = cartesianToBarycentric(TR,ID,C)

Description

example

B = cartesianToBarycentric(TR,ID,C)returns the barycentric coordinates of the points inCrelative to the triangulation objectTR. Each row ofCcontains the Cartesian coordinates of a point with respect to the triangle or tetrahedron indexed byID. The identification numbers of the triangles or tetrahedra inTRare the corresponding row numbers of the propertyTR.ConnectivityList.

Examples

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Open Live Script

Create a triangulation from a set of pointsPand triangulation connectivity listT, 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 inTR.

L = TR.ConnectivityList(1,3); C = TR.Points(L,:)
C =1×22.5000 8.0000

Convert the pointCto barycentric coordinates with respect to the first triangle.

B = cartesianToBarycentric(TR,1,C)
B =1×30 0 1

Input Arguments

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Triangulation representation, specified as a scalartriangulationordelaunayTriangulationobject.

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 theConnectivityListproperty.

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

版本历史

Introduced in R2013a

See Also

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