Find intersection area of a diamond and movable/resizable square or rectangle.












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I am creating a program in which I have to crop the area intersected by movable and resizable rectangle in a diamond.



to achieve this I need a formula which will give me all the vertices of the intersection of "diamond and square".



I have x,y and height,width of square and diamond.



I need a formula for below condition.




  1. If red square intersects diamond then I need all the points of vertices of the intersection of "diamond and square".

  2. If they don't intersect I just need a flag (true or false).


There can be many possible conditions few of them are described in below image.



Image describing a problem.










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  • $begingroup$
    A program can take advantage of breaking down the problem into cases. So a single formula is not as practical as goods ways to consider cases that cover all possibilities. I'd have a look at Questions on StackOverfow that concern collision detection for related ideas.
    $endgroup$
    – hardmath
    Jan 9 at 1:23
















0












$begingroup$


I am creating a program in which I have to crop the area intersected by movable and resizable rectangle in a diamond.



to achieve this I need a formula which will give me all the vertices of the intersection of "diamond and square".



I have x,y and height,width of square and diamond.



I need a formula for below condition.




  1. If red square intersects diamond then I need all the points of vertices of the intersection of "diamond and square".

  2. If they don't intersect I just need a flag (true or false).


There can be many possible conditions few of them are described in below image.



Image describing a problem.










share|cite|improve this question











$endgroup$












  • $begingroup$
    A program can take advantage of breaking down the problem into cases. So a single formula is not as practical as goods ways to consider cases that cover all possibilities. I'd have a look at Questions on StackOverfow that concern collision detection for related ideas.
    $endgroup$
    – hardmath
    Jan 9 at 1:23














0












0








0


1



$begingroup$


I am creating a program in which I have to crop the area intersected by movable and resizable rectangle in a diamond.



to achieve this I need a formula which will give me all the vertices of the intersection of "diamond and square".



I have x,y and height,width of square and diamond.



I need a formula for below condition.




  1. If red square intersects diamond then I need all the points of vertices of the intersection of "diamond and square".

  2. If they don't intersect I just need a flag (true or false).


There can be many possible conditions few of them are described in below image.



Image describing a problem.










share|cite|improve this question











$endgroup$




I am creating a program in which I have to crop the area intersected by movable and resizable rectangle in a diamond.



to achieve this I need a formula which will give me all the vertices of the intersection of "diamond and square".



I have x,y and height,width of square and diamond.



I need a formula for below condition.




  1. If red square intersects diamond then I need all the points of vertices of the intersection of "diamond and square".

  2. If they don't intersect I just need a flag (true or false).


There can be many possible conditions few of them are described in below image.



Image describing a problem.







trigonometry intersection-theory






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 8 at 6:14







Govind Prajapati

















asked Jan 8 at 5:38









Govind PrajapatiGovind Prajapati

1012




1012












  • $begingroup$
    A program can take advantage of breaking down the problem into cases. So a single formula is not as practical as goods ways to consider cases that cover all possibilities. I'd have a look at Questions on StackOverfow that concern collision detection for related ideas.
    $endgroup$
    – hardmath
    Jan 9 at 1:23


















  • $begingroup$
    A program can take advantage of breaking down the problem into cases. So a single formula is not as practical as goods ways to consider cases that cover all possibilities. I'd have a look at Questions on StackOverfow that concern collision detection for related ideas.
    $endgroup$
    – hardmath
    Jan 9 at 1:23
















$begingroup$
A program can take advantage of breaking down the problem into cases. So a single formula is not as practical as goods ways to consider cases that cover all possibilities. I'd have a look at Questions on StackOverfow that concern collision detection for related ideas.
$endgroup$
– hardmath
Jan 9 at 1:23




$begingroup$
A program can take advantage of breaking down the problem into cases. So a single formula is not as practical as goods ways to consider cases that cover all possibilities. I'd have a look at Questions on StackOverfow that concern collision detection for related ideas.
$endgroup$
– hardmath
Jan 9 at 1:23










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