From 517602cf9fa8c934600a56fec71e46f2a9409e51 Mon Sep 17 00:00:00 2001 From: Robert Marskar Date: Thu, 3 Mar 2022 19:59:08 +0100 Subject: [PATCH 01/14] Add horse and start on file docs --- Examples/PLY/README.md | 5 +- Examples/PLY/horse.ply | 72690 +++++++++++++++++++++++++++++++++++++++ 2 files changed, 72694 insertions(+), 1 deletion(-) create mode 100644 Examples/PLY/horse.ply diff --git a/Examples/PLY/README.md b/Examples/PLY/README.md index 738298ba..c34e9670 100644 --- a/Examples/PLY/README.md +++ b/Examples/PLY/README.md @@ -1 +1,4 @@ -This folder contains various PLY surface grids. \ No newline at end of file +This folder contains various PLY surface grids. +The grids have been obtained from various sources (outlined below) and repaired (and thus modified) using MeshLab. + +* airfoil.ply Obtained from equivalent STL file in AMReX-tutorials source code (https://github.com/AMReX-Codes/amrex-tutorials.git), commit 211e40b0504dd5660ed2ff2605ea9f542b176cb2. \ No newline at end of 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22088 +3 12680 22088 21982 +3 2111 12680 21982 +3 21979 2191 2175 +3 21980 21979 2175 +3 2175 2111 21982 +3 21980 2175 21982 +3 21980 21982 21981 From dedde80a0c3ec56fc796a402f090329e0eff6be0 Mon Sep 17 00:00:00 2001 From: Robert Marskar Date: Thu, 3 Mar 2022 20:08:55 +0100 Subject: [PATCH 02/14] Try better factoring of files --- Examples/PLY/README.md | 18 +++++++++++++++++- Examples/PLY/img/airfoil.png | Bin 0 -> 14474 bytes 2 files changed, 17 insertions(+), 1 deletion(-) create mode 100644 Examples/PLY/img/airfoil.png diff --git a/Examples/PLY/README.md b/Examples/PLY/README.md index c34e9670..94edc79a 100644 --- a/Examples/PLY/README.md +++ b/Examples/PLY/README.md @@ -1,4 +1,20 @@ This folder contains various PLY surface grids. The grids have been obtained from various sources (outlined below) and repaired (and thus modified) using MeshLab. -* airfoil.ply Obtained from equivalent STL file in AMReX-tutorials source code (https://github.com/AMReX-Codes/amrex-tutorials.git), commit 211e40b0504dd5660ed2ff2605ea9f542b176cb2. \ No newline at end of file +* airfoil.ply Obtained from equivalent STL file in AMReX-tutorials source code (https://github.com/AMReX-Codes/amrex-tutorials.git), commit 211e40b0504dd5660ed2ff2605ea9f542b176cb2. + +* armadillo.ply Obtained from Stanford 3D scanning repository (http://graphics.stanford.edu/data/3Dscanrep/). + +* dodecahedron.ply Obtained from https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html + +* horse.ply Obtained from https://github.com/alecjacobson/common-3d-test-models and repaired (made watertight) using MeshLab. + +* orion.ply Obtained from NASA https://nasa3d.arc.nasa.gov/detail/orion-capsule + +* porsche.ply Obtained from https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html + +* sphere.ply Obtained from https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html + +| Model Name | Image | File | Source | +|------------|-------|---------------|------------| +| airfoil | ![](img/airfoil.png) | [.ply](airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | diff --git a/Examples/PLY/img/airfoil.png b/Examples/PLY/img/airfoil.png new file mode 100644 index 0000000000000000000000000000000000000000..3189fa2393f68dce8a017ff1275cfe46776139ad GIT binary patch literal 14474 zcmeHti(gD>{QoJULM06=x1#HzViV0Eqna+0rn#I6t;i)ZcGC{yQqr&yLn)aeGpVV} z%u%$qSS8wBOJym{AQml?G|9E1T>5>Ull}hwhVS>aUax(%=bYzrdw;Ia^UOXjCwPRV zy(NZWBSJ$0`4~2IEQSq=HaCSgSF?m%_%mpue<)#YZvNn(h!%LXNC;W75yPx5qyJ3g zQ?15fm;)9XxPaKIc=532rBiUt)qng>%ISF%inBs~o&9ZCf2tzP!G-n2%E6I2xy91_ zSIl(i=<~ZPq~EW4F{&cMJ3seS{tj)QQ2#ElV@xOU>E=1IzpeV!MPLm7j&z^uGNJwt zFDOB3Va4mT)bqM19Q|eH=IfVw`#Mf<`Sda6ef8tc59dsQDZB 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[AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | From 3d6099da35681dec7ef78d5a17b4a76d77f808c1 Mon Sep 17 00:00:00 2001 From: Robert Marskar Date: Thu, 3 Mar 2022 20:13:36 +0100 Subject: [PATCH 04/14] Armadillo plot --- Examples/PLY/README.md | 3 ++- Examples/PLY/img/armadillo.png | Bin 0 -> 122607 bytes 2 files changed, 2 insertions(+), 1 deletion(-) create mode 100644 Examples/PLY/img/armadillo.png diff --git a/Examples/PLY/README.md b/Examples/PLY/README.md index 81bdb136..4990a72a 100644 --- a/Examples/PLY/README.md +++ b/Examples/PLY/README.md @@ -17,4 +17,5 @@ The grids have been obtained from various sources (outlined below) and repaired | Model Name | Image | File | Source | |------------|-------|---------------|------------| -| airfoil | | [.ply](airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | +| Airfoil | | [.ply](airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | +| Armadillo | | 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[Stanford](http://graphics.stanford.edu/data/3Dscanrep/) | +| Airfoil | | [.ply](airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | +| Armadillo | | [.ply](armadillo.ply) | [Stanford](http://graphics.stanford.edu/data/3Dscanrep/) | +| Dodecahedron | | [.ply](dodecahedron.ply) | (https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html) | diff --git a/Examples/PLY/img/armadillo.png b/Examples/PLY/img/armadillo.png index 57ee90981f6816122908e68b0ba377e4c26eb679..f494748052a966c990ab93ea2e235ccf183f2392 100644 GIT binary patch literal 137448 zcmeFZ^;gwfv^R{DG>C|FmxzFLgLF$vmvl=@N*_SFOS-#6T0jJ(q`Rc0MOyTk+;`l6 z;QjeJ#u-N#uw8q7*P8QFbBC)a%V1-WU?3nMV9Uu$sv#gCDj^^s8K5D;cTo9PsNjD{ zF5+?;XlQ5)YcE&fOLQk$9Tx-yoG*9(-Aj6kLyCYvg&-&SLc=q2Kg&8*-#qOiyMD66 zvE8G%-WC5N!oyW5r_Y!~<}xqvl2jkuPn1&m4;e*@$ov(7TkwM|aY-2h86xCv*>`Bj z)UjfWbkw^A7wxvy0*#qvr+$|%4lnUzrDO|nFODRtTs_>*=6+s@Ua%5}QWJ%m5PdD` zj}k$Ezl6S}G|74m-`dC8BkN(udTpt_efI-`Jpz5~SUt1E)BJZoK2kIC9IJ=jJ=854 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b/Examples/PLY/README.md index 1e0c5dc7..904b1446 100644 --- a/Examples/PLY/README.md +++ b/Examples/PLY/README.md @@ -17,6 +17,6 @@ The grids have been obtained from various sources (outlined below) and repaired | Model Name | Image | File | Source | |------------|-------|---------------|------------| -| Airfoil | | [.ply](airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | -| Armadillo | | [.ply](armadillo.ply) | [Stanford](http://graphics.stanford.edu/data/3Dscanrep/) | -| Dodecahedron | | [.ply](dodecahedron.ply) | (https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html) | +| Airfoil | | (airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | +| Armadillo | | (armadillo.ply) | [Stanford](http://graphics.stanford.edu/data/3Dscanrep/) | +| Dodecahedron | | (dodecahedron.ply) | (https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html) | From 3c264e4503a543d29b1bc441ddc795356c805a02 Mon Sep 17 00:00:00 2001 From: Robert Marskar Date: Thu, 3 Mar 2022 20:20:02 +0100 Subject: [PATCH 07/14] Bad links --- Examples/PLY/README.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/Examples/PLY/README.md b/Examples/PLY/README.md index 904b1446..748c35f2 100644 --- a/Examples/PLY/README.md +++ b/Examples/PLY/README.md @@ -15,8 +15,8 @@ The grids have been obtained from various sources (outlined below) and repaired * sphere.ply Obtained from https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html -| Model Name | Image | File | Source | +| Model Name | Image | PLY file | Source | |------------|-------|---------------|------------| -| Airfoil | | (airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | -| Armadillo | | (armadillo.ply) | [Stanford](http://graphics.stanford.edu/data/3Dscanrep/) | -| Dodecahedron | | (dodecahedron.ply) | (https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html) | +| Airfoil | | [.ply](airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | +| Armadillo | | [.ply](armadillo.ply) | [Stanford](http://graphics.stanford.edu/data/3Dscanrep/) | +| Dodecahedron | | [.ply](dodecahedron.ply) | https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html | From df656a6020bb869a582456c0d4e233c4cd36af62 Mon Sep 17 00:00:00 2001 From: Robert Marskar Date: Thu, 3 Mar 2022 20:22:37 +0100 Subject: [PATCH 08/14] Add horse and remarks --- Examples/PLY/README.md | 11 ++++++----- Examples/PLY/img/horse.png | Bin 0 -> 97091 bytes 2 files changed, 6 insertions(+), 5 deletions(-) create mode 100644 Examples/PLY/img/horse.png diff --git a/Examples/PLY/README.md b/Examples/PLY/README.md index 748c35f2..72a2002d 100644 --- a/Examples/PLY/README.md +++ b/Examples/PLY/README.md @@ -15,8 +15,9 @@ The grids have been obtained from various sources (outlined below) and repaired * sphere.ply Obtained from https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html -| Model Name | Image | PLY file | Source | -|------------|-------|---------------|------------| -| Airfoil | | [.ply](airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | -| Armadillo | | [.ply](armadillo.ply) | [Stanford](http://graphics.stanford.edu/data/3Dscanrep/) | -| Dodecahedron | | [.ply](dodecahedron.ply) | https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html | +| Model Name | Image | PLY file | Source | Note | +|------------|-------|---------------|------------|------| +| Airfoil | | [.ply](airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | Converted from STL to PLY | +| Armadillo | | [.ply](armadillo.ply) | [Stanford](http://graphics.stanford.edu/data/3Dscanrep/) | | +| Dodecahedron | | [.ply](dodecahedron.ply) | https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html | | +| Horse | | [.ply](horse.ply) | https://github.com/alecjacobson/common-3d-test-models | Repaired using MeshLab | diff --git a/Examples/PLY/img/horse.png b/Examples/PLY/img/horse.png 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a/Examples/PLY/README.md b/Examples/PLY/README.md index 72a2002d..fa037797 100644 --- a/Examples/PLY/README.md +++ b/Examples/PLY/README.md @@ -1,23 +1,10 @@ -This folder contains various PLY surface grids. -The grids have been obtained from various sources (outlined below) and repaired (and thus modified) using MeshLab. - -* airfoil.ply Obtained from equivalent STL file in AMReX-tutorials source code (https://github.com/AMReX-Codes/amrex-tutorials.git), commit 211e40b0504dd5660ed2ff2605ea9f542b176cb2. - -* armadillo.ply Obtained from Stanford 3D scanning repository (http://graphics.stanford.edu/data/3Dscanrep/). - -* dodecahedron.ply Obtained from https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html - -* horse.ply Obtained from https://github.com/alecjacobson/common-3d-test-models and repaired (made watertight) using MeshLab. - -* orion.ply Obtained from NASA https://nasa3d.arc.nasa.gov/detail/orion-capsule - -* porsche.ply Obtained from https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html - -* sphere.ply Obtained from https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html +This folder contains various PLY surface grids and remarks on where the data was obtained what was done with it. | Model Name | Image | PLY file | Source | Note | |------------|-------|---------------|------------|------| -| Airfoil | | [.ply](airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | Converted from STL to PLY | -| Armadillo | | [.ply](armadillo.ply) | [Stanford](http://graphics.stanford.edu/data/3Dscanrep/) | | -| Dodecahedron | | [.ply](dodecahedron.ply) | https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html | | -| Horse | | [.ply](horse.ply) | https://github.com/alecjacobson/common-3d-test-models | Repaired using MeshLab | +| Airfoil | | [.ply](airfoil.ply) | [AMReX] (http://git@github.com/AMReX-Codes/amrex-tutorials.git) | Converted from STL to PLY | +| Armadillo | | [.ply](armadillo.ply) | [Stanford] (http://graphics.stanford.edu/data/3Dscanrep/) | | +| Dodecahedron | | [.ply](dodecahedron.ply) | [John Burkardt](https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html) | | +| Horse | | [.ply](horse.ply) | [Alec Jacobson](https://github.com/alecjacobson/common-3d-test-models | Repaired using MeshLab | +| Orion | | [.ply](orion.ply) | [NASA] (https://nasa3d.arc.nasa.gov/detail/orion-capsule) | | +| Sphere | | [.ply](sphere.ply) | [John Burkardt](https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html) | | diff --git a/Examples/PLY/img/airfoil.png b/Examples/PLY/img/airfoil.png index 3189fa2393f68dce8a017ff1275cfe46776139ad..2cf8439ac2d2fa2f2af0d9f636e9bbac7f50d2fe 100644 GIT binary patch literal 14375 zcmeIZ`#;lv_&>glp*ak#Bt<0097-a`3L$5bicBZUY3pQj+UDE|MMaKDITb2}5*wqE zB1uAQb3SiQV{G$z?DhVBzTcm||G|5=TQ_ab>v6d5kL$W$hv)No+tt}t60sctfj}hf z?X2A)5TTb42#h2K1HUZigr|c)Lf4PlpAZuh>u0#o!PiY#yVKVp5UFOtKj;U=Yo|Wj0`48XZPRPq8?pm-F6LpM@yVUko3}yZIeb$K&%J(gIJ*~BS 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Date: Thu, 3 Mar 2022 20:29:35 +0100 Subject: [PATCH 10/14] Typos --- Examples/PLY/README.md | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/Examples/PLY/README.md b/Examples/PLY/README.md index fa037797..cab5943c 100644 --- a/Examples/PLY/README.md +++ b/Examples/PLY/README.md @@ -2,9 +2,9 @@ This folder contains various PLY surface grids and remarks on where the data was | Model Name | Image | PLY file | Source | Note | |------------|-------|---------------|------------|------| -| Airfoil | | [.ply](airfoil.ply) | [AMReX] (http://git@github.com/AMReX-Codes/amrex-tutorials.git) | Converted from STL to PLY | -| Armadillo | | [.ply](armadillo.ply) | [Stanford] (http://graphics.stanford.edu/data/3Dscanrep/) | | -| Dodecahedron | | [.ply](dodecahedron.ply) | [John Burkardt](https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html) | | -| Horse | | [.ply](horse.ply) | [Alec Jacobson](https://github.com/alecjacobson/common-3d-test-models | Repaired using MeshLab | -| Orion | | [.ply](orion.ply) | [NASA] (https://nasa3d.arc.nasa.gov/detail/orion-capsule) | | -| Sphere | | [.ply](sphere.ply) | [John Burkardt](https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html) | | +| Airfoil | | [.ply](airfoil.ply) | [AMReX](http://git@github.com/AMReX-Codes/amrex-tutorials.git) | Converted from STL to PLY | +| Armadillo | | [.ply](armadillo.ply) | [Stanford](http://graphics.stanford.edu/data/3Dscanrep/) | | +| Dodecahedron | | [.ply](dodecahedron.ply) | [John Burkardt](https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html) | | +| Horse | | [.ply](horse.ply) | [Alec Jacobson](https://github.com/alecjacobson/common-3d-test-models) | Repaired using MeshLab | +| Orion | | [.ply](orion.ply) | [NASA](https://nasa3d.arc.nasa.gov/detail/orion-capsule) | | +| Sphere | | [.ply](sphere.ply) | [John Burkardt](https://people.sc.fsu.edu/~jburkardt/data/ply/ply.html) | | From 020387eb8829900343e0f00bc55c309d49354b88 Mon Sep 17 00:00:00 2001 From: Robert Marskar Date: 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za%tcNGB*03k>zw$_4`@GV3+~SNLcEO@;0@ODf{7!nW}^2L;;J*oVo_{);;%zgWlW4 z^g@X>EXw27%W?$B5oowdbd30OAt!}3Yxyji{wljPkExyileGkGszDAG2^W#)G7bi$ z%zKRl#{@7;#4Sjp?zJ`+MvmmWzvnnTExUodS$?Kt4ES9OPzPz3+SmrUwvavs;w<|9 zM1Lm7sOA_{ldxg~`z2G0gl$_4OGBQ!c_-50Hv6yuwOM`7N9O*FX>i*??;r{&yKlF> z^IB-d4tX%CUFjxX6>^e-`*F4(4I|DZt{XO;=7GIEud(p1w&5|8y=(;?&v|~$G(8hM$%N& z)QblCm>|BY2ZBhK~~&aV?KS{=$RWM zt2JUlR%8BvdeU)=5k2ak)v=TUE5)hgMd_SFaGI44?K zTgkW^{UjHtmd%)s=P(n#Vc{;n1& zVk5=C%k|qxG|>j6op^=qgI+)>#nbcP^%IyreeJe#gt?yBImc`uZ}D+OUt$-H?0cW@ zbsN|xnGhTSCjRr3?Ec+>I%52E`m`<~^DWi?{ZR$wh}JQrWvCap6M~Y7lfU|ErldEL zR@lzl*KAZtcT7C!xoq^y&9Om`ByM!HfV!uC4p1kBVs-v{)XzE^ThGM($P|^Z6@4Mq za5g(*v{}*0MFZ@ZE*tQ48S%qQ@4v~aV zbs?^py#GH3z;H^05*3;()R0#~Lp2riW(>>-0>IFMeD Date: Thu, 3 Mar 2022 20:32:40 +0100 Subject: [PATCH 12/14] Yet again I update the AMReX examples --- Examples/AMReX/README.md | 2 +- Examples/AMReX/main.cpp | 6 +++--- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/Examples/AMReX/README.md b/Examples/AMReX/README.md index 61e502e6..7238ea5e 100644 --- a/Examples/AMReX/README.md +++ b/Examples/AMReX/README.md @@ -19,4 +19,4 @@ To select different geometries, set which_geom to one of the below. * which_geom = 0 (Airfoil) * which_geom = 1 (Sphere) -* which_geom = 2 (Car) This examples breaks due to AMReX's EB limitations. +* which_geom = 2 (Dodecahedron) diff --git a/Examples/AMReX/main.cpp b/Examples/AMReX/main.cpp index b116e493..e382fa9a 100644 --- a/Examples/AMReX/main.cpp +++ b/Examples/AMReX/main.cpp @@ -96,9 +96,9 @@ int main (int argc, char* argv[]) rb = RealBox({-400,-400,-400}, {400,400,400}); filename = "../PLY/sphere.ply"; } - else if (which_geom == 2){ // Car geometry - rb = RealBox({-20.,-20.,-20.}, {20.,20.,20.}); - filename = "../PLY/porsche.ply"; + else if (which_geom == 2){ // Dodecahedron + rb = RealBox({-1.,-1.,-1.}, {1.,1.,1.}); + filename = "../PLY/dodecahedron.ply"; } Array is_periodic{false, false, false}; From fb80530af3505d559a04392a3cb765485a22ca0a Mon Sep 17 00:00:00 2001 From: Robert Marskar Date: Thu, 3 Mar 2022 20:33:54 +0100 Subject: [PATCH 13/14] Make slightly larger domain --- Examples/AMReX/main.cpp | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Examples/AMReX/main.cpp b/Examples/AMReX/main.cpp index e382fa9a..4708c1c9 100644 --- a/Examples/AMReX/main.cpp +++ b/Examples/AMReX/main.cpp @@ -97,7 +97,7 @@ int main (int argc, char* argv[]) filename = "../PLY/sphere.ply"; } else if (which_geom == 2){ // Dodecahedron - rb = RealBox({-1.,-1.,-1.}, {1.,1.,1.}); + rb = RealBox({-2.,-2.,-2.}, {2.,2.,2.}); filename = "../PLY/dodecahedron.ply"; } From cb28b74267604b2bbdf006b0885f9cafedfb6fa9 Mon Sep 17 00:00:00 2001 From: Robert Marskar Date: Thu, 3 Mar 2022 20:43:49 +0100 Subject: [PATCH 14/14] Better docs --- README.md | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/README.md b/README.md index b1a10475..0206eb4f 100644 --- a/README.md +++ b/README.md @@ -5,15 +5,16 @@ Support for acceleration structures and signed-distance functions of tesselated Can be used with embedded-boundary (EB) codes like Chombo or AMReX. EBGeometry is a compact code for creating signed distance functions from watertight 3D surface tesselations. -The surface mesh is stored in a doubly-connected edge list (DCEL), i.e. a half-edge data structure. -Since the distance to any feature (facet, edge, vertex) in a surface mesh is well defined, the distance to the mesh can be computed from any point in space. -Naively, this can be done by computing the shortest distance to every facet/edge/vertex in the surface mesh. -For computing the signed distance one needs to define a suitable normal vector for edges and vertices. +The tesselations must consist of a planar polygons, but not necessarily restricted to triangles. +The surface mesh is stored in a doubly-connected edge list (DCEL), i.e. a half-edge data structure. +On watertight and orientable grids, the distance to any feature (facet, edge, vertex) is well defined. +Naively, this distance can be computed by iterating through every facet in surface mesh and computing the distance. EBGeometry provides bounding volume hierarchies (BVHs) for bounding geometric primitives in space. The BVHs are tree structures which permit accelerated closest-point searches. We point out that the BVHs in EBGeometry are shallow implementations without deep performance optimizations. -In the DCEL context the BVHs are used for bounding the facets on the surface mesh, but there are no fundamental limitations on which objects that can be bounded. +In the DCEL context the BVHs are used for bounding the facets on the surface mesh, but there are no fundamental limitations on which objects that can be bounded. +Thus, multiple objects (e.g., surface grids or analytic functions) can also be bound in bounding volume hierarchy. Querying the distance to the mesh through the BVH is much faster than directly computing the distance. On average, if the mesh consists of N facets then a BVH has O(log(N)) complexity while a direct search has O(N) complexity.