Problem 45196. Determine whether a given point is inside or outside a polygon

Created by William

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{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>A closed polygon may be described by an N x 2 array of nodes, where the last node and the first node are the same. Each row of the array is a 2-element vector giving the x and y coordinates of a node. The polygon is described by straight-line segments that go from node to node.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>In this problem, we provide you with a polygon p of this type, and with a number of points r, each having an x and y coordinate. You are to determine whether each point falls inside or outside the polygon. If the point is inside the polygon, return the value 1. If outside, return the value 0.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>HINT: One way to solve this is to find a point 'p_test' that is outside of the polygon, and then to count the number of times that a line from 'r' to 'p_test' crosses the sides of the polygon.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

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Last Solution submitted on Aug 22, 2020

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Problem 45196. Determine whether a given point is inside or outside a polygon

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Problem 45196. Determine whether a given point is inside or outside a polygon

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