Evaluation on a Face
Use the following methods for face evaluation in 3D. They do not work on composite faces in virtual geometry objects.
Table 3-24: Face Evaluation Methods in 3D.
method
output type
faceParamRange(int)
double[4]
faceX(int, double[][2])
double[][3]
faceDX(int, double[][2])
double[][3][2]
faceDDX(int, double[][2])
double[][3][2][2]
faceNormal(int, double[][2])
double[][3]
faceFF1(int, double[][2])
double[][2][2]
faceFF2(int, double[][2])
double[][2][2]
faceGaussCurvature(int, double[][2])
double[]
faceMeanCurvature(int, double[][2])
double[]
The first input argument of all methods is the face number. The second input argument, when it exists, is a matrix of parameter points, for which to perform evaluation. For all but the first method, the first index in the output corresponds to the different parameter points.
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faceParamRange returns two parameter ranges for evaluation on the face.
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faceX evaluates the parameters to coordinate values.
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faceDX evaluates the parameters to first order derivative values.
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faceDDX evaluates the parameters to second order derivative values.
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faceNormal evaluates the parameters to normal vector values.
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faceFF1 evaluates the parameters to the first fundamental form values.
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faceFF2 evaluates the parameters to the second fundamental form values.
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faceGaussCurvature evaluates the parameters to Gauss curvature values.
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faceMeanCurvature evaluates the parameters to mean curvature values.