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ComputationalGeometry

  

PointInPolygon

  

determine if a point lies within the polygon formed by a list of points

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

PointInPolygon( P, Q )

Parameters

P

-

a point in real 2-D space given as a list or rtable of coordinates

Q

-

a list of points in real 2-D space

Description

• 

This command returns a string describing the orientation of the point P relative to the polygon formed by the points Q. If P is inside the polygon then the command returns "inside". If P is outside then "outside" is returned. If P lies on the boundary of the polygon, then "boundary" is returned.

Examples

withComputationalGeometry:

Q1.1180,0.36327,0.,1.1756,1.1180,0.36327,0.69098,0.95106,0.69098,0.95106

Q1.1180,0.36327,0.,1.1756,−1.1180,0.36327,−0.69098,−0.95106,0.69098,−0.95106

(1)

a0.,0.:b1.,1.:c0.5Q1+0.5Q2:

plots:-displayplottools:-pointa,b,c,symbolsize=20,plots:-textplota,a,align=above,left,plots:-textplotb,b,align=above,left,plots:-textplotc,c,align=below,left,plottools:-polygonQ,style=line,axes=box

PointInPolygona,Q

inside

(2)

PointInPolygonb,Q

outside

(3)

PointInPolygonc,Q

boundary

(4)

PointInPolygonQ1,Q

boundary

(5)

PointInPolygonArraya,ArrayQ

inside

(6)

PointInPolygonArrayc,ArrayQ

boundary

(7)

Compatibility

• 

The ComputationalGeometry[PointInPolygon] command was introduced in Maple 2020.

• 

For more information on Maple 2020 changes, see Updates in Maple 2020.

See Also

ComputationalGeometry[PointOrientation]