From c38630d3b31c145e268ac4eb7b5d7011e8fade5c Mon Sep 17 00:00:00 2001 From: andywiecko Date: Sun, 17 Sep 2023 11:49:09 +0200 Subject: [PATCH] docs: update readme Add benchmark result for `half-edge` Delaunay triangulation. --- Documentation~/benchmark-delaunay.png | Bin 0 -> 56056 bytes ...ark-v1-v2.png => benchmark-refinement.png} | Bin Documentation~/burst-benchmark.png | Bin 166910 -> 0 bytes README.md | 28 +++++++++--------- 4 files changed, 14 insertions(+), 14 deletions(-) create mode 100644 Documentation~/benchmark-delaunay.png rename Documentation~/{benchmark-v1-v2.png => benchmark-refinement.png} (100%) delete mode 100644 Documentation~/burst-benchmark.png diff --git a/Documentation~/benchmark-delaunay.png b/Documentation~/benchmark-delaunay.png new file mode 100644 index 0000000000000000000000000000000000000000..023d4689d1174db5edd75dae6ca80cf5e7778e40 GIT binary patch literal 56056 zcma(31yqz@*foq>h)Q>Z3=&ES3|#^PNK1Ejcb7=bkkSnTBHblY(p@5r5Q#T3Nu-K&npxHd)uK0kGOtL=L49(EV%=YF4K zk=ea_^U*R8F*PrP-CyWls_Hb452JXn%n3iXo~fMTy^=`dB>G7Ep(qLmEon=!Qt^=n5nF%uYC8r5?uFNsZ#zRMn;4lgdR$7Tsv2xc|1o8MYaMNS&Na-#mIb?Wr2F{T$WSAZa#!I^Dx| z|Cg1OQhooPLpI7K?%Lh)l+}=8y0U@&UvJEXl%9;_2FBVZ9uN^Q`iM31HFAHpx88e^h@%h(z7u?NI1XNC!@hmWRFe9={ zP5QyArACy^@?n~kLI$t3R_*rWo)nAF<(u-F*T3{8nw^)Y#H!=|Ps810x%|i5G1d<= z5(i5rZR+mtk}{bHQLU};Kyp@3b_cDCEo6MP>9mE1WuXR+o^AOF?;_GM+^&a91J5W`##QNy@u ze#GMLX>_<@;%w>KA(x}9llSwW0P25 zXop*X$wSlR_j(#GmseI`fp*F@7pn8 zv<0`h_vJv9^<{^Ts_Xr^$^BOiYzbmIUT5W;vxHmX0t&vd!)K{UO=@ z#bgu4=z~cDJ0$qu4D(0rgdz@;ej&HOr-DaRW$TDqs4?xN6Zm+M^_OI*p(QXvdplmE_gO8$*l&>U7EH zAQR~+XcDbx)HzzunM$g_o7sQMejG7gCx{VI%GHe7* z237&DD+`oMCw@ns$&m)q@tm^0vUM=CZ65b{Crxf$zvgRQqg8z!SR|FqvKFW;MA3~b zgAz>?Qwzt3Q6FXED$z|r>9bYVyuXlFLsZ>Lq*#WQVP4PM($5EaaFS8I6Ih#319}&$ z@Gcr8$>R8ebDIxZnapjgA;(qUC$`Jv5i5x89Dg~zc7~5Wc-;KrZhd1kOV=*#+PTV) zJHx)L{q5qUR6Pxz@Y-*f|GLJUUBc+5L?)!Y-sjKT2;rwWILYl8Kp%Mei#CIO2!~uK zyMyrWsFJhYsL_v>Eic&Rx^PS{*dwoG9%XC>8@W<;BPVBOG`Xo|{!nOV50qpXQ4Bd( zEip{2KOZ$(>yfBmrwOOzclmvCNf;daR=Mq-zozUz*yn-_n1 z^c!Q0LacBft?%h>awRci4?DA#Pj~y;g#~{U&%z6L%I-ktH*ek-FkY-1c{4EHb!oNf zs4QrWeq0mF>l6D-78n>f<#Bi+#%)q?cVTqV`s1)`7U}oa3)TNhyb?TStYv|HK4@*U z*B}htnh$%e4_7qGMks!`kr;<%Oew=2ANYd2L}&61sC&3ZEGRPAnX{wUlwO_^op20I zOm4ZEEOVIl7QIM;>9K>u*{s&tC0qyY>k@<^Mh?1(OSl>`DFV|Izyx>nYj^V8i-S3V zw=c87w6wG(dq&X|y!*eJ8*M)8`n2g(8nmW^t@Fq|W*Z%I_}*ELWvlOfX4R>CYgbGz z^Y*B;-hQD$zuBV%&(O)KYSyzW469^MBmSb5QjD^wCz7O8>N1nxRm!ja=IX4}<5j^a zWA)vI^;q&t2fFy9C^8rc2DxZ}U$IJoTGy`^NMG}>Ta$&6GmcYl8~^y#gEOb(l3DnT zJ0DHGO%@)5!`pR^E&I2pN*f)1>2NPb2wUD_CRT5%IM0UT&{U8YC(h?|-)wfvF zz-ieItR<*FS-NRxrFZFjFPvQVQfBQZYR7YLI zjQ*c*mq7mpnsUAW{GQ;<>+v}rVC-qb93lQ5l42)(=eMN#V}X`y1)H>cGPf2TfuR(ZFA+ynP6 zckPWNl7WwG5bS!miz|A+C7em>WF2{zf7hIpA zoNH)m|2w%q*85@&n_MKhRbJMM!fwWtd>iDQDKcu8>#QePXceq}7U4-CO}|jM>TLY9 zxgihmr8VG*;peRm5-asxt4HJIdd1azlxpE3=s=Y|u=my7ilGs?TRY~l^+S>yN;yCg zZn>C)Ea8BSV}{uI6_!=<$mKhZ>9nH5__?Z$iOU@?Is(mC3XH-m2EmvkiD{(iFS(|Q zRT;UYo#J?ro#T{EmgfmBOQP+)s`wN(#?N$q6=qHpLS_nLr_(D~w{#X6ZAb6~35E$$ zse#+AQMYq|RV`eWSIOWWEib_t74{k2xA`IpLlz0O5mt2~XglsSJRWN;Sq+{yl7?D0 z&PYzQSM_8()`(%5u6Z>Uy^ClWLB}s9RVl&{tI;&B%^Z!qyu6D$)a*gh zjWpUvDcNLs?7?!RE1@E;AoWE`F>m zWxLQ&E^8g@cXxAUqtD=SGQMl2U1L_PUYh)5(0SORR!17OHIEXLlb5LIyzMVhFNIj$ zUTo$}eUtAV&)nE5%+bI??YynQ=r~_WNSTz=?U!28a_9K}LbV@TYdw*?4vX)wK++~w z9_0TJk7vjDF8Fb9uFJ+?i5T3-v^T2B^B~&>mtV!mXaz_%YQfNcRV{I3i#JkDkigs5 ziibRUZCn?__yiNR%csOu`8=)!3kE$I0ltL3U8wtC5Tn-zM7O%EZi^SZKMr$bw1WeM zBDa7j`_k%rR`NKG&RM>8@-JK|P_?qM^78r$JQ82xzu)0CVT4%}0*@G!FUuB73!CDC z_S04SgiRjGqQGZd^GcFMAqRQ%?d|PU`C@yZVL2VDGnN#bW>8t{snV2}s$sy_hFGzw z6^%PFwY4dbL~|AQZJLzJ6aGHKVFElkRX zJ6F3tXX(5dv&{%{QNkQi>;jN(_R7tfxe0L-|I5CZ+_!jYWzeA%bsXhh)Sv)sN6{2a zj>_i0WX;Sz191T-zP;6DKs33kbG-zykuZlDw5laQ`xWeFtHcWGwkFYWsE5aQDS=dd za(Ry#*qLmo@ZxlTkKgCEop*0sjuq`3!x0lJk%7Rmzq#*xQPFwxzP(*kqSh6dUh^;2 zrhPTQdzD-YJSz}`xClWP6cpr2VBm|5B{`b81}jR3K=y%I$_z72hxNC@G_eg0XGJT@ zER}@LGJWJBa0k9GbHH*1{-%%~@&N6psVxaRgNV_3e(d+y8EC&f2Urj_@=cAE?NY0q z+s>K(SMb+S){|@#9JGT$XJ0 z+2#PE!x)&n{0Xf>MXIUiE>+E*2kG(*z^vom-7@ct*e`rZ54?+}3$0H#xPvM#pdr17Nl@YVD!W31-baA9wgbaNw`Jraw#9AjDz(9-~r; 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a/README.md +++ b/README.md @@ -8,8 +8,10 @@ [![openupm](https://img.shields.io/npm/v/com.andywiecko.burst.triangulator?label=openupm®istry_uri=https://package.openupm.com)](https://openupm.com/packages/com.andywiecko.burst.triangulator/) A **single-file** package which provides simple Delaunay triangulation of the given set of points (`float2`) with mesh refinement. -Implemented triangulation is based on [Bowyer–Watson algorithm][bowyerwatson][^bowyer.1981] [^watson.1981] and refinement on [Ruppert's algorithm][rupperts][^ruppert.1995]. +Implemented *classic* Delaunay triangulation is based on +[`delaunator`](https://github.com/mapbox/delaunator) and [`delaunator-sharp`](https://github.com/nol1fe/delaunator-sharp/). +Refinement algorithm is based on [Ruppert's algorithm][rupperts][^ruppert.1995] with [Bowyer–Watson algorithm][bowyerwatson][^bowyer.1981] [^watson.1981] point insertion. The package provides also constrained triangulation (with mesh refinement) which is based on Sloan's algorithm[^sloan.1993]. ## Table of contents @@ -30,7 +32,7 @@ The package provides also constrained triangulation (with mesh refinement) which - [PCA transformation](#pca-transformation) - [Benchmark](#benchmark) - [Dependencies](#dependencies) - - [Things to consider](#things-to-consider) + - [Roadmap v3.0](#roadmap-v30) - [Bibliography](#bibliography) ## Getting started @@ -379,29 +381,27 @@ $$ ## Benchmark -The package uses [`Burst`][burst] compiler, which produces highly optimized native code using LLVM. -Below one can see a log-log plot of elapsed time as a function of the final triangles count after mesh refinement. -Using Burst can provide more or less two order of magnitude faster computation. +The package utilizes the [`Burst`][burst] compiler, which generates highly optimized native code using LLVM. -> **Note** -> The following figure was obtained with `v1.0`. +Below, you'll find a performance comparison (with Burst enabled) between `v2.0.0` and `v2.1.0`, as well as a comparison with [`delaunator-sharp`](https://github.com/nol1fe/delaunator-sharp/) for *classic* Delaunay triangulation (without refinement or constraints). -![Burst Triangulator benchmark](Documentation~/burst-benchmark.png "Burst Triangulator benchmark") +![Delaunay Benchmark](Documentation~/benchmark-delaunay.png) -Below, you'll find a performance comparison (Burst enabled) between `v1.0.0` and `v2.0.0` (for the refinement task). +Furthermore, we present a performance comparison (with Burst enabled) between `v1.0.0` and `v2.0.0` for the refinement task. -![benchmark-v1-v2](Documentation~/benchmark-v1-v2.png) +![Refinement Benchmark](Documentation~/benchmark-refinement.png) ## Dependencies - [`Unity.Burst`][burst] - [`Unity.Collections`][collections] -## Things to consider +## Roadmap v3.0 -- [ ] Consider using BVT (or another data structure) to accelerate computing. -- [ ] Consider caching circles for constraint edges. -- [ ] Consider refactoring the data structure to update the `edgeToTriangles` buffer instead of rebuilding it. +- [x] ~~Remove supertriangle approach.~~ +- [ ] Adapt constraints and refinement algorithm to `halfedges` approach. +- [ ] Improve performance of the constraint algorithm. +- [ ] Improve performance of the refinement algorithm. ## Bibliography