[PD] Find distance to a line in 3d space

tim vets timvets at gmail.com
Fri Dec 6 03:31:49 CET 2013


[list-dotprod] from list-abs might come in handy


2013/12/6 Claude Heiland-Allen <claude at mathr.co.uk>

> On 05/12/13 23:40, João Pais wrote:
>
>> Hello list,
>>
>> I had a doubt, will try to explain.
>>
>> I wanted to define a line in a 3d space through 2 points, and be able to
>> find out the distance from another point to that line. Since I'm very
>> bad at math, I wanted to know if anyone has done something similar, or
>> knows how to get to it.
>>
>
> http://paulbourke.net/geometry/pointlineplane/
>
> first example on the page, you just need to clamp u to [0..1] if you want
> to make it work for a line segment instead of an infinite line.
>
>
> Claude
>
>
>  As I see it, the process goes this way:
>> - define a line from coordinates x1,y1,z1 to x2,y2,z2
>> - declare the point x3,y3,z3
>> - find the distance from that point to the nearest point belonging to
>> the said line
>>
>>
>> Any existing examples with gem rendering would be great.
>>
>> Thanks as usual,
>>
>> jmmmp
>>
>
> --
> http://mathr.co.uk
>
>
>
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