[
https://issues.apache.org/jira/browse/MATH-880?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
]
Luc Maisonobe resolved MATH-880.
--------------------------------
Resolution: Fixed
Fixed in subversion repository as of r1401022.
Note that the unit test corresponding to the issue uses a value equal to 1.0e-8
for the hyperplaneThickness parameter. Smaller values do not work due to
numerical issues. This new parameter is therefore an important one for such
problems and too small values should be avoided.
There are no definitive value that can be suggested and would work in every
case. The appropriate value depends on the polygon (does it have thin pikes or
dents, does it have vertices with almost flat angles, does it have independent
edges that happen to be almost aligned despite they are not directly connected
..).
Thanks for reporting the problem.
> Polygon difference produces erronious results in some cases
> -----------------------------------------------------------
>
> Key: MATH-880
> URL: https://issues.apache.org/jira/browse/MATH-880
> Project: Commons Math
> Issue Type: Bug
> Affects Versions: 3.0
> Reporter: Curtis Jensen
> Fix For: 3.1
>
> Attachments: PolygonDiffAll.png, PolygonDiffResults.png,
> PolygonInputs.png
>
>
> The 2D polygon difference method is returning incorrect
> results. Below is a test case of subtracting two polygons (Sorry,
> this is the simplest case that I could find that duplicates the
> problem).
> There are three problems with the result. The first is that the first
> point of the first set of vertices is null (and the first point of the
> second set is also null). The second is that, even if the first null
> points are ignored, the returned polygon is not the correct result.
> The first and last points are way off, and the remaining points do not
> match the original polygon boundaries. Additionally, there are two
> holes that are returned in the results. This subtraction case should
> not have holes.
> {code:title="Complex Polygon Difference Test"}
> public void testComplexDifference() {
> Vector2D[][] vertices1 = new Vector2D[][] {
> new Vector2D[] {
> new Vector2D( 90.08714908223715, 38.370299337260235),
> new Vector2D( 90.08709517675004, 38.3702895991413),
> new Vector2D( 90.08401538704919, 38.368849330127944),
> new Vector2D( 90.08258210430711, 38.367634558585564),
> new Vector2D( 90.08251455106665, 38.36763409247078),
> new Vector2D( 90.08106599752608, 38.36761621664249),
> new Vector2D( 90.08249585300035, 38.36753627557965),
> new Vector2D( 90.09075743352184, 38.35914647644972),
> new Vector2D( 90.09099945896571, 38.35896264724079),
> new Vector2D( 90.09269383800086, 38.34595756121246),
> new Vector2D( 90.09638631543191, 38.3457988093121),
> new Vector2D( 90.09666417351019, 38.34523360999418),
> new Vector2D( 90.1297082145872, 38.337670454923625),
> new Vector2D( 90.12971687748956, 38.337669827794684),
> new Vector2D( 90.1240820219179, 38.34328502001131),
> new Vector2D( 90.13084259656404, 38.34017811765017),
> new Vector2D( 90.13378567942857, 38.33860579180606),
> new Vector2D( 90.13519557833206, 38.33621054663689),
> new Vector2D( 90.13545616732307, 38.33614965452864),
> new Vector2D( 90.13553111202748, 38.33613962818305),
> new Vector2D( 90.1356903436448, 38.33610227127048),
> new Vector2D( 90.13576283227428, 38.33609255422783),
> new Vector2D( 90.13595870833188, 38.33604606376991),
> new Vector2D( 90.1361556630693, 38.3360024198866),
> new Vector2D( 90.13622408795709, 38.335987048115726),
> new Vector2D( 90.13696189099994, 38.33581914328681),
> new Vector2D( 90.13746655304897, 38.33616706665265),
> new Vector2D( 90.13845973716064, 38.33650776167099),
> new Vector2D( 90.13950901827667, 38.3368469456463),
> new Vector2D( 90.14393814424852, 38.337591835857495),
> new Vector2D( 90.14483839716831, 38.337076122362475),
> new Vector2D( 90.14565474433601, 38.33769000964429),
> new Vector2D( 90.14569421179482, 38.3377117256905),
> new Vector2D( 90.14577067124333, 38.33770883625908),
> new Vector2D( 90.14600350631684, 38.337714326520995),
> new Vector2D( 90.14600355139731, 38.33771435193319),
> new Vector2D( 90.14600369112401, 38.33771443882085),
> new Vector2D( 90.14600382486884, 38.33771453466096),
> new Vector2D( 90.14600395205912, 38.33771463904344),
> new Vector2D( 90.14600407214999, 38.337714751520764),
> new Vector2D( 90.14600418462749, 38.337714871611695),
> new Vector2D( 90.14600422249327, 38.337714915811034),
> new Vector2D( 90.14867838361471, 38.34113888210675),
> new Vector2D( 90.14923750157374, 38.341582537502575),
> new Vector2D( 90.14877083250991, 38.34160685841391),
> new Vector2D( 90.14816667319519, 38.34244232585684),
> new Vector2D( 90.14797696744586, 38.34248455284745),
> new Vector2D( 90.14484318014337, 38.34385573215269),
> new Vector2D( 90.14477919958296, 38.3453797747614),
> new Vector2D( 90.14202393306448, 38.34464324839456),
> new Vector2D( 90.14198920640195, 38.344651155237216),
> new Vector2D( 90.14155207025175, 38.34486424263724),
> new Vector2D( 90.1415196143314, 38.344871730519),
> new Vector2D( 90.14128611910814, 38.34500196593859),
> new Vector2D( 90.14047850603913, 38.34600084496253),
> new Vector2D( 90.14045907000337, 38.34601860032171),
> new Vector2D( 90.14039496493928, 38.346223030432384),
> new Vector2D( 90.14037626063737, 38.346240203360026),
> new Vector2D( 90.14030005823724, 38.34646920000705),
> new Vector2D( 90.13799164754806, 38.34903093011013),
> new Vector2D( 90.11045289492762, 38.36801537312368),
> new Vector2D( 90.10871471476526, 38.36878044144294),
> new Vector2D( 90.10424901707671, 38.374300101757),
> new Vector2D( 90.10263482039932, 38.37310041316073),
> new Vector2D( 90.09834601753448, 38.373615053823414),
> new Vector2D( 90.0979455456843, 38.373578376172475),
> new Vector2D( 90.09086514328669, 38.37527884194668),
> new Vector2D( 90.09084931407364, 38.37590801712463),
> new Vector2D( 90.09081227075944, 38.37526295920463),
> new Vector2D( 90.09081378927135, 38.375193883266434)
> }
> };
> PolygonsSet set1 = buildSet(vertices1);
> Vector2D[][] vertices2 = new Vector2D[][] {
> new Vector2D[] {
> new Vector2D( 90.13067558880044, 38.36977255037573),
> new Vector2D( 90.12907570488, 38.36817308242706),
> new Vector2D( 90.1342774136516, 38.356886880294724),
> new Vector2D( 90.13090330629757, 38.34664392676211),
> new Vector2D( 90.13078571364593, 38.344904617518466),
> new Vector2D( 90.1315602208914, 38.3447185040846),
> new Vector2D( 90.1316336226821, 38.34470643148342),
> new Vector2D( 90.134020944832, 38.340936644972885),
> new Vector2D( 90.13912536387306, 38.335497255122334),
> new Vector2D( 90.1396178806582, 38.334878075552126),
> new Vector2D( 90.14083049696671, 38.33316530644106),
> new Vector2D( 90.14145252901329, 38.33152722916191),
> new Vector2D( 90.1404779335565, 38.32863516047786),
> new Vector2D( 90.14282712131586, 38.327504432532066),
> new Vector2D( 90.14616669875488, 38.3237354115015),
> new Vector2D( 90.14860976050608, 38.315714862457924),
> new Vector2D( 90.14999277782437, 38.3164932507504),
> new Vector2D( 90.15005207194997, 38.316534677663356),
> new Vector2D( 90.15508513859612, 38.31878731691609),
> new Vector2D( 90.15919938519221, 38.31852743183782),
> new Vector2D( 90.16093758658837, 38.31880662005153),
> new Vector2D( 90.16099420184912, 38.318825953291594),
> new Vector2D( 90.1665411125756, 38.31859497874757),
> new Vector2D( 90.16999653861313, 38.32505772048029),
> new Vector2D( 90.17475243391698, 38.32594398441148),
> new Vector2D( 90.17940844844992, 38.327427213761325),
> new Vector2D( 90.20951909541378, 38.330616833491774),
> new Vector2D( 90.2155400467941, 38.331746223670336),
> new Vector2D( 90.21559881391778, 38.33175551425302),
> new Vector2D( 90.21916646426041, 38.332584299620805),
> new Vector2D( 90.23863749852285, 38.34778978875795),
> new Vector2D( 90.25459855175802, 38.357790570608984),
> new Vector2D( 90.25964298227257, 38.356918010203174),
> new Vector2D( 90.26024593994703, 38.361692743151366),
> new Vector2D( 90.26146187570015, 38.36311080550837),
> new Vector2D( 90.26614159359622, 38.36510808579902),
> new Vector2D( 90.26621342936448, 38.36507942500333),
> new Vector2D( 90.26652190211962, 38.36494042196722),
> new Vector2D( 90.26621240678867, 38.365113172030874),
> new Vector2D( 90.26614057102057, 38.365141832826794),
> new Vector2D( 90.26380080055299, 38.3660381760273),
> new Vector2D( 90.26315345241, 38.36670658276421),
> new Vector2D( 90.26251574942881, 38.367490323488084),
> new Vector2D( 90.26247873448426, 38.36755266444749),
> new Vector2D( 90.26234628016698, 38.36787989125406),
> new Vector2D( 90.26214559424784, 38.36945909356126),
> new Vector2D( 90.25861728442555, 38.37200753430875),
> new Vector2D( 90.23905557537864, 38.375405314295904),
> new Vector2D( 90.22517251874075, 38.38984691662256),
> new Vector2D( 90.22549955153215, 38.3911564273979),
> new Vector2D( 90.22434386063355, 38.391476432092134),
> new Vector2D( 90.22147729457276, 38.39134652252034),
> new Vector2D( 90.22142070120117, 38.391349167741964),
> new Vector2D( 90.20665060751588, 38.39475580900313),
> new Vector2D( 90.20042268367109, 38.39842558622888),
> new Vector2D( 90.17423771242085, 38.402727751805344),
> new Vector2D( 90.16756796257476, 38.40913898597597),
> new Vector2D( 90.16728283954308, 38.411255399912875),
> new Vector2D( 90.16703538220418, 38.41136059866693),
> new Vector2D( 90.16725865657685, 38.41013618805954),
> new Vector2D( 90.16746107640665, 38.40902614307544),
> new Vector2D( 90.16122795307462, 38.39773101873203)
> }
> };
> PolygonsSet set2 = buildSet(vertices2);
> PolygonsSet set = (PolygonsSet) new
> RegionFactory<Euclidean2D>().difference(set1.copySelf(),
> set2.copySelf());
> Vector2D[][] verticies = set.getVertices();
> Assert.assertTrue(verticies[0][0] != null);
> Assert.assertEquals(1, verticies.length);
> }
> {code}
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