X points of CubicBez

Degree-3 X degree-3, Ex01

Blue Curve: degree 3, control points,

P0(485.00, 438.00), P1(184.00, 215.00), P2(849.00, 509.00), P3(403.00, 292.00);

Red Curve: degree 3, control points,

P0(485.00, 301.00), P1(167.00, 652.00), P2(848.00, 121.00), P3(418.00, 458.00);

The Intersection point(s) of these two curves:

X00(465.603305208437750, 322.718239980855340), X01(441.718762365044770, 350.629636571535510), X02(417.594856271990520, 381.404146292324240);

X03(449.126487538049840, 410.189934058407520), X04(519.915911882181260, 368.319506172787560), X05(535.413224420495570, 358.461448524409090);

X06(529.041103129560720, 370.684746029089980), X07(540.711946580511490, 361.375783626443140), X08(46

3.910814884731680, 422.000064592384490); Blue Curve's t value(s): t[00] = 0.946257497849888, t[01] = 0.368190175503567, t[02] = 0.111112539429942; t[03] = 0.046409427293157, t[04] = 0.551206635815775, t[05] = 0.850633886575244; t[06] = 0.574924315696998, t[07] = 0.838951346342237, t[08] = 0.025385026982637; Red Curve's t value(s): t[00] = 0.021802334389955, t[01] = 0.054265771906106, t[02] = 0.099677887243832; t[03] = 0.402884561416777, t[04] = 0.559632490719708, t[05] = 0.599048262241764; t[06] = 0.878979927748974, t[07] = 0.856508858540025, t[08] = 0.960474829420851;

Degree-3 X degree-3, Ex02

Blue Curve: degree 3, control points,

P0(610.00, 376.00), P1(244.00, 427.00), P2(867.00, 165.00), P3(455.00, 420.00);

Red Curve: degree 3, control points,

P0(667.00, 440.00), P1(140.00, 91.00), P2(809.00, 555.00), P3(432.00, 332.00);

The Intersection point(s) of these two curves:

X00(576.176197441325830, 380.133033957151950), X01(546.196262235199360, 360.566459399090600), X02(515.242341494475910, 340.569788704203570);

X03(504.723082633191320, 348.180614656526470), X04(531.470272992146870, 370.739648211473990), X05(544.357190237688200, 382.509049685581770);

X06(517.090565790478540, 380.385635073154050), X07(521.158468914451300, 382.510807269334800), X0

8(489.885535155762170, 365.515393948897500); Blue Curve's t value(s): t[00] = 0.033825286300348, t[01] = 0.904909280075832, t[02] = 0.397550256078675; t[03] = 0.359647961970092, t[04] = 0.924524341283875, t[05] = 0.073737193063495; t[06] = 0.941493907012172, t[07] = 0.112472004269144, t[08] = 0.268130617550748; Red Curve's t value(s): t[00] = 0.067291303778712, t[01] = 0.096116558739850, t[02] = 0.132569025094214; t[03] = 0.534702965183829, t[04] = 0.619273843595546, t[05] = 0.671379402651647; t[06] = 0.898005189636529, t[07] = 0.890508048470972, t[08] = 0.938919606738612;

Degree-3 X degree-3, Ex03

Blue Curve: degree 3, control points,

P0(500.00, 423.00), P1(297.00, 36.00), P2(240.00, 408.00), P3(594.00, 235.00);

Red Curve: degree 3, control points,

P0(436.00, 420.00), P1(515.00, 20.00), P2(412.00, 467.00), P3(339.00, 198.00);

The Intersection point(s) of these two curves:

X00(451.498283522387170, 339.868421840240840), X01(461.746662178522400, 280.430849318732040), X02(412.243241810896510, 287.118616280358760);

X03(418.219591271712090, 283.948328439003940), X04(374.281312450535780, 277.259716831773520), X05(352.768315998092760, 239.891276356878510);

Blue Curve's t value(s):

t[00] = 0.085121061803867, t[01] = 0.850279512186791, t[02] = 0.165874305501802;

t[03] = 0.781793515203711, t[04] = 0.687047746211510, t[05] = 0.345668439940129;

Red Curve's t value(s):

t[00] = 0.079507253656040, t[01] = 0.172839559183478, t[02] = 0.675762533380932;

t[03] = 0.646886751581350, t[04] = 0.845157481313293, t[05] = 0.938461669916567;

Degree-3 X degree-4, Ex01

Blue Curve: degree 4, control points,

P0(642.00, 537.00), P1(18.00, 214.00), P2(1012.00, 563.00), P3(326.00, 92.00), P4(541.00, 521.00);

Red Curve: degree 3, control points, P0(616.00, 260.00), P1(118.00, 671.00), P2(883.00, 165.00), P3(336.00, 438.00); The Intersection point(s) of these two curves: X00(453.755583999649730, 424.522000027704850), X01(444.153634191306140, 415.032696666470770), X02(437.669604247465030, 389.164970961124030); X03(477.751474197958710, 371.654760553475400), X04(489.458530262653990, 368.845095704005470), X05(540.997379431670420, 352.933565094368870); X06(529.113410729834300, 333.402645342921350), X07(502.196072864288000, 362.039500157098020), X08(504.983183397132510, 354.725349299651900); X09(499.362862736066630, 397.327977547456950); Blue Curve's t value(s): t[00] = 0.130899799985167, t[01] = 0.150843313817387, t[02] = 0.231516141177352; t[03] = 0.344564206642421, t[04] = 0.369969164688467, t[05] = 0.506250508768910; t[06] = 0.736824906493965, t[07] = 0.847119812068393, t[08] = 0.831210762739580; t[09] = 0.900585336925644; Red Curve's t value(s): t[00] = 0.378659426015850, t[01] = 0.215870928379219, t[02] = 0.925321170468867; t[03] = 0.883591859821589, t[04] = 0.116282622986270, t[05] = 0.746555580519162; t[06] = 0.069989479279807, t[07] = 0.850133282536065, t[08] = 0.096279673079804; t[09] = 0.513769125720528;

Degree-3 X degree-5, Ex01

Blue Curve: degree 5, control points,

P0(377.00, 356.00), P1(139.00, 74.00), P2(660.00, 418.00), P3(70.00, 455.00), P4(312.00, 23.00), P5(517.00, 435.00);

Red Curve: degree 3, control points,

P0(445.00, 281.00), P1(62.00, 307.00), P2(486.00, 191.00), P3(308.00, 318.00);

The Intersection point(s) of these two curves:

X00(333.140107934773880, 298.307090258861020), X01(324.724857594455780, 284.516026744433590), X02(314.684718883584310, 258.496846125942060);

X03(323.278510021629590, 257.566688355165130), X04(338.839245982683340, 284.881913003049820), X05(339.895342490165940, 291.976159253808650);

X06(318.599250711272650, 310.188199480797720), X07(311.092124965432280, 283.714151541768840), X08(353.843843513902980, 267.966028519061130);

X09(394.137308199574360, 283.853291250991670); Blue Curve's t value(s): t[00] = 0.052019860584720, t[01] = 0.070530173060806, t[02] = 0.132959153155053; t[03] = 0.211615350293124, t[04] = 0.327360993668782, t[05] = 0.354319975766095; t[06] = 0.548735782051639, t[07] = 0.684505346979016, t[08] = 0.813534029112959; t[09] = 0.871652585651992; Red Curve's t value(s): t[00] = 0.942092722946280, t[01] = 0.145516322409767, t[02] = 0.565658115640721; t[03] = 0.601974453986786, t[04] = 0.121130427729185, t[05] = 0.919954656985052; t[06] = 0.978632880672458, t[07] = 0.173672257864560, t[08] = 0.800632956531810; t[09] = 0.049226554949458;

Degree-3 X degree-5, Ex02

Blue Curve: degree 3, control points,

P0(671.00, 236.00), P1(702.00, 749.00), P2(703.00, 32.00), P3(687.00, 458.00);

Self Intersection point at:

S0(688.277454055620520, 425.488695323445370); t[1] = 0.239265761594981, t[2] = 0.972582064491976;

Red Curve: degree 5, control points,

P0(617.00, 342.00), P1(1020.00, 587.00), P2(50.00, 128.00), P3(1408.00, 688.00), P4(238.00, 242.00), P5(763.00, 358.00);

The Intersection point(s) of these two curves:

X00(682.084078348867480, 383.676298756808360), X01(689.880734676858990, 389.189435177259380), X02(696.022407025670420, 393.713596703021890);

X03(694.661196849059710, 412.776524369930030), X04(688.907146180992410, 410.609022485475800), X05(685.141536483605480, 408.999567931639720);

X06(689.146239572389280, 405.166602851082590), X07(684.489688471032650, 404.298909741787500), X08(695.216747819651910, 406.387486662368250);

X09(689.538329739655180, 396.496084090984370), X10(683.049853359146370, 392.548154414108640), X11(695.643903225198870, 400.285425400449580);

X12(692.370782281650460, 344.281388277435780), X13(678.316259171389900, 342.272200504720390), X14(697.210977148697910, 345.053729631167130);

Blue Curve's t value(s):

t[00] = 0.136983506815315, t[01] = 0.935490406849203, t[02] = 0.461145299693191; t[03] = 0.401074993035832, t[04] = 0.958410514388113, t[05] = 0.183927996546741; t[06] = 0.952901465694889, t[07] = 0.173428440701308, t[08] = 0.422892110461291; t[09] = 0.943702282585457, t[10] = 0.151212696193082, t[11] = 0.441909886022042; t[12] = 0.869376040118971, t[13] = 0.085686909781974, t[14] = 0.595480521229442; Red Curve's t value(s): t[00] = 0.044010078036341, t[01] = 0.052382148599232, t[02] = 0.060132871995004; t[03] = 0.235347376755439, t[04] = 0.258974633126046, t[05] = 0.277016812453436; t[06] = 0.463285228705015, t[07] = 0.434306066830377, t[08] = 0.499406940215555; t[09] = 0.687588695688644, t[10] = 0.707578675794505, t[11] = 0.664381296961201; t[12] = 0.966387497468186, t[13] = 0.957040122578985, t[14] = 0.969303138171881;