[SciPy-Dev] Poisson Disk Sampling

Phillip Feldman phillip.m.feldman at gmail.com
Thu Oct 18 01:32:49 EDT 2018


I should have read the whole thing.  The equal-area projection does indeed
do the job.  (Conformality is unnecessary for this application).  Thanks
again!

On Wed, Oct 17, 2018 at 9:44 PM Robert Kern <robert.kern at gmail.com> wrote:

> On Wed, Oct 17, 2018 at 9:36 PM Phillip Feldman <
> phillip.m.feldman at gmail.com> wrote:
>
>> This is indeed very interesting.  Thanks!
>>
>> P.S. I don't know of a clean mapping between [0, 1]^2 and the surface of
>> the sphere.  (This is a problem that cartographers have struggled with for
>> a few hundred years).  But, there is a simple mapping from [-1, 1]^3 to the
>> surface of the sphere, so I will explore that.
>>
>
> See the section "Quasirandom Points on a sphere" in that article for the
> details.
>
>
>> On Wed, Oct 17, 2018 at 5:43 PM Robert Kern <robert.kern at gmail.com>
>> wrote:
>>
>>> This article describes a new quasirandom scheme that is easy and
>>> efficient to implement, and works nicely on the surface of a sphere through
>>> transformation:
>>>
>>>
>>> http://extremelearning.com.au/unreasonable-effectiveness-of-quasirandom-sequences/
>>>
>>> The transformation should be applicable to any (quasi)random scheme that
>>> generates numbers uniformly over [0,1]^2.
>>>
>>> On Sun, Oct 14, 2018 at 11:20 AM Phillip Feldman <
>>> phillip.m.feldman at gmail.com> wrote:
>>>
>>>> Does anyone have code that does efficient subrandom sampling of the
>>>> surface of a sphere?  I'm looking, e.g., for an implementation of the
>>>> algorithm in
>>>> https://www.cs.ubc.ca/~rbridson/docs/bridson-siggraph07-poissondisk.pdf,
>>>> or something similar.
>>>>
>>>> Thanks!
>>>>
>>>> Phillip
>>>>
>>>>
>>>>
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>>>>
>>>
>>>
>>> --
>>> Robert Kern
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>
>
> --
> Robert Kern
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