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

Created by William

Solve Later

{"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>"}]}

Solve

Solution Stats

23 Solutions
13 Solvers

Last Solution submitted on Sep 14, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers13

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

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

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers13

Suggested Problems

More from this Author2

Problem Tags

Community Treasure Hunt

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

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers13

Suggested Problems

More from this Author2

Problem Tags

Community Treasure Hunt

Players