2013/12/27, Christopher Sean Morrison <[email protected]>:
>
> On Dec 27, 2013, at 4:49 AM, Delveri chick wrote:
>
>> Im chick an i would love to give some help with the implementation of
>> the surface area function of superellipsolloid.
>
> Hi Chick,
>
> That's a difficult one.  I don't know of a way to directly evaluate the
> surface area, but you could converge to a definably accurate estimate by
> sampling surface points.
>
> For example, you could iterate over the x(u,v) y(u,v) and z(u,v) parametric
> representation described on Wikipedia, incrementing by maybe PI/4 for
> starters, and using the surface points as defining a surface tessellation.
> You can sample the u,v in a way that creates quadrilateral patches
> (rectangles), which you can sum up easily.  You then recalculate with
> PI/(4+N) or PI/(4*N), for example PI/8 then PI/16 then PI/32 .. etc, and
> stop when the area summation converges to a solution within some defined
> tolerance (like < 0.005).
>
> Alternatively for that task, you could implement any one of the special
> cases A) e=0,n=0 or e=2,n=0 (boxes); B) e=0,n=1 or e=2,n=1 (four cylinder
> sections); C) e=0,n=2 or e=2,n=2 (prisms); D) e=1,n=0 or e=1,n=2 (a
> cylinder/cone); or E) e=1,n=1 (a sphere).  They're all individually pretty
> simple (and an opportunity to complete five different tasks).
>
> Cheers!
> Sean
>
>
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Thanx Kesha & sean but i want to know if there'e someone currently
working on adding surface area and volume routines to brlcad
primitives because im on it and i need some help?
Chick

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