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Math Help - Curve Intersection with Line and circle

  1. #1
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    Curve Intersection with Line and circle

    Hi,
    I need to find whether curve and circle intersecting and if so need intersection points.

    Also i need to check intersection between curve and line and its intersection points.

    Refer the attached drawing for clear picture. Intersection points are marked in red.

    Rajee
    Attached Thumbnails Attached Thumbnails Curve Intersection with Line and circle-spline.jpg  
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  2. #2
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    how is your curve given? Do you have an equation for it?
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  3. #3
    Super Member craig's Avatar
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    Quote Originally Posted by mrajee View Post
    Hi,
    I need to find whether curve and circle intersecting and if so need intersection points.

    Also i need to check intersection between curve and line and its intersection points.

    Refer the attached drawing for clear picture. Intersection points are marked in red.

    Rajee
    You will need to find the equations for the various curves and circle you have, set them equal to another and solve, hence you will have the points of intersection.

    Do you have these equations?
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  4. #4
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    I have circle and line equation but not having curve equation.

    For curve i have the points(x,y) which i have marked in red.Is there any way to determine curve equation.
    Attached Thumbnails Attached Thumbnails Curve Intersection with Line and circle-spline.jpg  
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  5. #5
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    Quote Originally Posted by mrajee View Post
    I have circle and line equation but not having curve equation.

    For curve i have the points(x,y) which i have marked in red.Is there any way to determine curve equation.
    Maybe this helps a little bit: http://en.wikipedia.org/wiki/Spline_(mathematics)
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  6. #6
    Super Member craig's Avatar
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    Quote Originally Posted by earboth View Post
    Maybe this helps a little bit: http://en.wikipedia.org/wiki/Spline_(mathematics)
    There is a typo in your link, should be Spline

    The forum removes the closing bracket for some reason
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