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Subject: Re: [Boost-users] [boost.geometry] buffer distance strategies
From: gchlebus (gchlebus_at_[hidden])
Date: 2014-11-12 15:52:14
2014-11-08 11:53 GMT+01:00 Barend Gehrels [via Boost] <
ml-node+s2283326n4668829h26_at_[hidden]>:
> Gu Grzegorz,
>
> gchlebus wrote On 8-11-2014 2:33:
>
>
> 2014-11-07 19:30 GMT+01:00 Barend Gehrels [via Boost] <[hidden email]
> <http://user/SendEmail.jtp?type=node&node=4668825&i=0>>:
>
> Hi Grzegorz,
>>
>> gchlebus wrote On 6-11-2014 19:08:
>>
>>
>>
>> 2014-11-04 17:23 GMT+01:00 Barend Gehrels [via Boost] <[hidden email]
>> <http://user/SendEmail.jtp?type=node&node=4668774&i=0>>:
>>
>> Hi Grzegorz,
>>>
>>>
>>>
>>> 2014-10-29 23:18 GMT+01:00 Barend Gehrels [via Boost] <[hidden email]
>>> <http://user/SendEmail.jtp?type=node&node=4668617&i=0>>:
>>>
>>>>
>>>>
>>>> gchlebus wrote On 24-10-2014 16:44:
>>>>
>>>> > Hi,
>>>> >
>>>> > I am wondering whether it would be possible to achieve anisotropic
>>>> buffering
>>>> > (distances in neg x, pos x, neg y, pos y can have different values)
>>>> of a
>>>> > polygon using the buffer function with custom-implemented distance
>>>> strategy.
>>>> > What I want to achieve is presented on the figure 2-b in the
>>>> following
>>>> > paper:
>>>> >
>>>> http://itcnt05.itc.nl/agile_old/Conference/mallorca2002/proceedings/posters/p_molina.pdf
>>>> >
>>>> > I would be grateful to hear from you whether it is doable, and if
>>>> positive,
>>>> > how one could implement such a custom distance strategy.
>>>> The current distance strategy has (currently) no means to get the
>>>> angle,
>>>> or a vector of the new point to be buffered. We can consider adding
>>>> that.
>>>>
>>>> However, by writing custom strategies for join, side, point (for
>>>> point-buffers) and possibly end (for line-buffers) you should be able
>>>> to
>>>> create this, because these have this information.
>>>>
>>>> Attached a program doing similar things with polygons and points (I
>>>> vary
>>>> the distance based on angle - you will have to do something with your
>>>> anistropic model).
>>>>
>>>> The output is also attached.
>>>>
>>>> The program defines three custom strategies, all based on the same
>>>> mechanism, to create interesting output.
>>>> I did not do the end-strategy but that would look similar, you can look
>>>> at the provided end-strategy (round) and apply the same function.
>>>>
>>>
>>>
>>> gchlebus wrote On 31-10-2014 18:13:
>>>
>>> I really appreciate your example code, it helped me a lot. Attached you
>>> can find my source code.
>>> In my implementation of the anisotropic buffering I didn't know how to
>>> make use of the distance strategy, as it was possible to make it work using
>>> only side and join strategies.
>>> I encountered strange behavior when changing number of points describing
>>> a full circle. Using 360 points produced a good output, whereas 90 points
>>> caused only the second polygon to be buffered (see attached figures). I
>>> would be thankful if you could help me to resolve this issue as well as for
>>> any remarks to my code.
>>>
>>>
>>> I could reproduce this. Basically the join-strategy should always
>>> include points perp1 and perp2 (these are the two points perpendicular to
>>> the two sides which the join-strategy joints). Either they are
>>> re-calculated, or they can be just added to begin and end. So I did the
>>> last option, and that piece of code now looks like:
>>>
>>> double const angle_increment = 2.0 * M_PI / double(point_count);
>>> double alpha = angle1 - angle_increment;
>>> * range_out.push_back(perp1);*
>>> * // added * for (int i = 0; alpha >= angle2 && i < point_count;
>>> i++, alpha -= angle_increment)
>>> {
>>> pdd v = getPointOnEllipse(alpha);
>>> Point p;
>>> bg::set<0>(p, bg::get<0>(vertex) + v.first);
>>> bg::set<1>(p, bg::get<1>(vertex) + v.second);
>>> range_out.push_back(p);
>>> }
>>> * range_out.push_back(perp2);** // added*
>>>
>>> My sample code of course also suffered from that, so I added it there
>>> too if I use it in the future.
>>>
>>> I tested your algorithm with various points and distances and it now
>>> seems always OK.
>>>
>>> You ask for remarks on your code: it looks good ;-) one thing, many
>>> terms are recalculated such as pow(xPos*tan(alpha), 2)); or just
>>> tan(alpha), I usually store these into variables, to avoid expensive
>>> recalculations of the same terms, though maybe they are optimized by the
>>> compiler.
>>>
>>> Regards, Barend
>>>
>>>
>>> P.S. this list discourages top-postings
>>>
>>>
>> Hallo Barend,
>>
>> I corrected the join strategy, but still the buffering doesn't work in
>> all cases as expected. When using xPos = 1, and other values equal 0, the
>> buffered polygon contains a hole (see xPos1.svg), whereas setting xPos to 2
>> produces a correct result (xPos2.svg). Do you know how to fix it? I
>> attached also main.cpp, as I changed the code a bit and it contains the
>> polygon for which causes the strange behavior.
>>
>>
>>
>> That is most probably caused by an error in some of your calculations:
>>
>> The line y = sqrt(yPos2 * (1 - pow(x, 2) / xNeg2));
>> causes a NAN for this input:
>>
>> alpha about PI
>> then xNeg2 = 0.010000000000000002
>> and x = -0.10000000000000002
>> and yPos2 = 0.010000000000000002
>>
>> This adds a weird line containing NAN to the join, causing the buffer
>> process fail.
>> I got this using these parameters:
>> double xPos = 1.0, xNeg = 0.1, yPos = 0.1, yNeg = 0.1;
>>
>> and not the parameters you have (that was fine for me).
>>
>> I think you should make the calculations full-proof first...
>>
>> For example add a line in the join-strategy:
>> std::cout << i << " "<< angle1 << " " << angle2 << " " << v.first
>> << " " << v.second << std::endl;
>>
>>
>> Regards, Barend
>>
>>
> Thanks, I'll try to improve my calculations.
> By the way, I was playing with different strategies combinations and I
> found out that when using only boost buffer strategies:
>
> double points_per_circle = 36;
> double distance = 130;
> bg::strategy::buffer::distance_symmetric<double>
> distance_strategy(distance);
> bg::strategy::buffer::end_flat end_strategy;
> bg::strategy::buffer::point_circle point_strat(points_per_circle);
> bg::strategy::buffer::side_straight sideStrat;
> bg::strategy::buffer::join_round joinStrat(points_per_circle);
>
> the buffer function can still fail (produce no output) when the distance
> is higher than 128 (e.g, 128, 130, 150, 300, 400). But this happens up to a
> certain value, where the buffer function starts producing a correct output
> (e.g., distances 900, 1000).
>
>
> Hmm, I see (starting at different values, but I can reproduce).
>
> I created a ticket, will be looked at. Thanks for reporting.
> https://svn.boost.org/trac/boost/ticket/10770
>
> Barend
>
>
Hi Barend,
I'm glad that I could help.
Anyway, I fixed the bug with NAN, but still when using (e.g. xNeg = 1,
other 0) the buffer produces no output. I am really wondering, how it could
work on your machine.
I printed the values used by join and side strategies and they seem to be
fine (no NANs or other strange values) - see attached log.txt and updated
main.cpp used to produce the log file.
I've compiled my code using msvc 12.0 and gcc 4.8.
Best,
Grzegorz
log.txt (976 bytes) <http://boost.2283326.n4.nabble.com/attachment/4669040/0/log.txt>
main.cpp (13K) <http://boost.2283326.n4.nabble.com/attachment/4669040/1/main.cpp>
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