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Towards a Deep Automatic Generation of Figure-ground Maps

Abstract

Figure-ground maps play a key role in many disciplines where urban planning or analysis is involved. In this context, the automatic generation of such maps with respect to certain requirements and constraints is an important task. This paper presents a first step towards a deep automatic generation of figure-ground maps where the built density of the generated scenes is controlled and taken into account. This is preformed building upon a Geographic Data Translation model which has been applied to generate less available geospatial features, e.g. building footprints, from more widely available geospatial data, e.g. street network data, using conditional Generative Adversarial Networks. A novel processing approach is introduced to incorporate the population density and the built density accordingly. Furthermore, the impact of both the level of detail of the street network, i.e. its sparsity or density, and the spatial resolution of the training data on the generated figure-ground maps has been investigated. The generated maps and the qualitative results reveal an obvious impact of these parameters on the layout of built and unbuilt areas. Our approach paves the way for the expansion of existing districts by figure-ground maps of future neighbourhoods considering factors such as density and further parameters which will be subject of future work.

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Towards a Deep Automatic Generation of Figure-ground Maps

Author: Arzoumanidis, Lukas,Hecht, Jonathan,Dehbi, Youness
Publisher: Copernicus
DOI: 10.5194/isprs-annals-X-4-W5-2024-33-2024
Source: https://repos.hcu-hamburg.de/bitstream/hcu/1036/1/isprs-annals-X-4-W5-2024-33-2024.pdf
Towa ds a Deep Au oma ic Gene a ion o Figu e-g ound Maps
Lukas A zoumanidis, Jona han Hech , Youness Dehbi
Compu a ional Me hods Lab, Ha enCi y Uni e si y, Hambu g, Ge many - (lukas.a zoumanidis, jona han.hech , youness.dehbi)
@hcu-hambu g.de
Keywo ds: Gene a i e Ad e sa ial Ne wo ks, Geog aphical Da a T ansla ion, Figu e-g ound Maps, U ban Mo phology, Buil
Densi y, Volun ee ed Geog aphic In o ma ion.
Abs ac
Figu e-g ound maps play a key ole in many disciplines whe e u ban planning o analysis is in ol ed. In his con ex , he au oma ic
gene a ion o such maps wi h espec o ce ain equi emen s and cons ain s is an impo an ask. This pape p esen s a i s s ep
owa ds a deep au oma ic gene a ion o igu e-g ound maps whe e he buil densi y o he gene a ed scenes is con olled and aken
in o accoun . This is p e o med building upon a Geog aphic Da a T ansla ion model which has been applied o gene a e less
a ailable geospa ial ea u es, e.g. building oo p in s, om mo e widely a ailable geospa ial da a, e.g. s ee ne wo k da a, using
condi ional Gene a i e Ad e sa ial Ne wo ks. A no el p ocessing app oach is in oduced o inco po a e he popula ion densi y and
he buil densi y acco dingly. Fu he mo e, he impac o bo h he le el o de ail o he s ee ne wo k, i.e. i s spa si y o densi y,
and he spa ial esolu ion o he aining da a on he gene a ed igu e-g ound maps has been in es iga ed. The gene a ed maps and
he quali a i e esul s e eal an ob ious impac o hese pa ame e s on he layou o buil and unbuil a eas. Ou app oach pa es he
way o he expansion o exis ing dis ic s by igu e-g ound maps o u u e neighbou hoods conside ing ac o s such as densi y and
u he pa ame e s which will be subjec o u u e wo k.
1. In oduc ion
To coun e ac he g ow h o sealed su aces and simul aneously
c ea e new li ing space in ci ies, u ban planning plays a i al
ole. Cu en pa adigms in u ban planning sugges o ebuild
o upg ade exis ing pa cels o buildings ins ead o c ea ing new
dis ic s on unde eloped land. In such case, a cons uc ion com-
pany ede elops a pa cel wi h a goal, e.g. o maximize e -
enue o o build he mos possible la s while espec ing ce ain
cons ain s, e.g. he building law o he physical dimensions
o he pa cel. In an ini ial planning phase, a d a ep esen -
ing he b oad layou o he s ee ne wo k and he a angemen
and geome y o he building oo p in s is laid ou . This ini ial
d a ing p ocess lays he ounda ion o he ollowing planning
phases, whe e each phase acili a es he d a u he wi h de-
ail o e en ually become a si e plan o a de elopmen p ojec .
Usually, he c ea ion o such d a s builds upon he so called
igu e-g ound maps as hose isualize he exis ing buil s uc-
u es while demons a ing he ela ionship be ween buil and
unbuil spaces in ci ies. In such maps, buildings a e depic ed
as black solid mass ( igu e) while s ee s o open spaces a e
ep esen ed as whi e oid (g ound) (Wang e al., 2024).
In p ac ice, i is a ely su icien o c ea e a single d a o a
u ban de elopmen p ojec . Ins ead, se e al hund eds o ini-
ial d a s migh be needed o isualize di e en and al e na -
i e design ideas. Howe e , d a ing is o en a edious and ime
consuming p ocess as i in ol es mainly analogous o digi al
manual d awing o c a ing. Depending on he scale and spe-
ci ica ions o he pa cel and he expe ience le el o he plan-
ne , such a ask could be o e whelming. Besides, he e a e
many u he equi emen s and cons ain s o conside such as
he desi ed le el o building densi y, he cons uc ion law o he
physical dimensions o he plo . To suppo planne s wi h his
endea ou , his pape p oposes a i s app oach owa ds a deep
au oma ic gene a ion o igu e-g ound maps wi h he possibili y
o con ol he buil densi y o u ban s uc u es. This app oach
pa es he way o he expansion o exis ing dis ic s by igu e-
g ound maps o u u e neighbou hoods conside ing in luencing
ac o s such as popula ion and buil densi y.
One ecen esea ch ield ha could pa e he way owa ds he
au oma ic gene a ion o igu e-g ound maps is Geog aphic Da a
T ansla ion (GDT) which ollows he idea o gene a ing less
abundan geospa ial da ase s by lea ning associa ions om o he
mo e plen i ul da ase s. In his con ex , wo new app oaches
GANmappe and Ins an Ci y which use condi ional Gene a i e
Ad e sa ial Ne wo ks (cGAN) o ackle GDT ha e been p o-
posed (Wu and Biljecki, 2023, 2022). These app oaches capi -
alize on mo e commonly ound geospa ial ea u es, e.g. s ee
ne wo ks, o gene a e less common ea u es such as building
oo p in s by le e aging on hei mu ual ela ionship.
This pape in es iga es whe he he ecen ly p oposed app oach
o Wu and Biljecki (2023) is able o cap u e and e lec highe
and lowe buil densi ies o u ban s uc u es. By le e aging a
la en ela ionship be ween he popula ion and he buil densi y,
we p esen a no el aining da a p ocessing ha p ecisely cap-
u es he desi ed le el o buil densi y which will be explained
in mo e de ail in Sec ion 3.2. Hence, he main con ibu ion o
his pape consis s in he inco po a ion o new ac o s in o he
au oma ic gene a ion o igu e-g ound maps. In pa icula , we
ocused on he assessmen o he impac o he le el o de ail
o he unde lying s ee ne wo k, he spa ial esolu ions and he
buil densi y.
The emainde o his pape is as ollows. Be o e going in o he
de ails o he me hodology o ou igu e-g ound map gene a ion
in Sec ion 3, we gi e a e iew o ela ed wo k in Sec ion 2.
The se up o ou expe imen s and hei indings a e p esen ed
in Sec ion 4. Sec ion 5 concludes he pape and gi es ou looks
o u u e esea ch.
ISPRS Annals o he Pho og amme y, Remo e Sensing and Spa ial In o ma ion Sciences, Volume X-4/W5-2024
19 h 3D GeoIn o Con e ence 2024, 1–3 July 2024, Vigo, Spain
This con ibu ion has been pee - e iewed. The double-blind pee - e iew was conduc ed on he basis o he ull pape .
h ps://doi.o g/10.5194/isp s-annals-X-4-W5-2024-33-2024 | © Au ho (s) 2024. CC BY 4.0 License.
33
2. Rela ed Wo k
The analysis o he su ounding u ban mo phology is unda-
men al o new building p ojec s. Acco ding o Wang e al.
(2024) u ban mo phology s udies hea ily ely on mo phome -
ics such as building oo p in s o s ee leng hs. In his con-
ex , hey de eloped a me hod o lea ning mo phology ea u es
based on igu e-g ound maps whe e hey compa e u ban o m
ypes in a ully unsupe ised manne . In hei app oach, hey
apply a isual ep esen a ion lea ning model called SimCLR o
cap u e he layou o building g oups (Wang e al., 2024). How-
e e , se e al ac o s may in luence he unde lying mo phology.
In his con ex , Hijazi e al. (2017) enginee ed a GIS-based
app oach o quan i y, o ins ance, he homogenei y o u ban
s uc u es as an impo an ac o by ex ac ing a ibu es such as
he angles o dis ances be ween buildings di ec ly om building
oo p in s. In o de o inco po a e such in luencing ac o s, ou
app oach builds upon ideas o Wu and Biljecki (2023, 2022).
These app oaches ha e been dedica ed o c ea e geospa ial da a
using condi ional Gene a i e Ad e sa ial Ne wo ks ollowing
he image- o-image ansla ion pa adigm. In hei wo k, s ee
ne wo k da a is used as inpu o gene a e building oo p in s
wi h he goal o suppo applica ions in he ields o u ban mo -
phology analysis and u ban simula ions which o en su e om
missing spa ial de ails.
Recen ly, an app oach de eloping a GAN-based end- o-end gen-
e a i e model o he 2D and 3D building layou gene a ion has
been p oposed (Jiang e al., 2023b). They s a ed ha mos ap-
p oaches o e look he impac o si e a ibu es on buil s uc-
u es, hampe ing hei po en ial o u he e alua ion and in-
o med decision making. The au ho s conduc ed expe imen s
wi h condi ional ec o s showing imp o ed pe o mance in di -
e en scena ios. Simila ly, Jiang e al. (2024) p oposed an
app oach o au oma ing si e planning wi h in eg a ed domain
knowledge o he buil en i onmen wi h he goal o imp o e
con ex -awa eness. Thei de eloped Gene a i e Ad e sa ial Ne -
wo k called CAIN-GAN is supposed o no only be capable
o syn hesized isually ealis ic and seman ically easonable
design solu ions bu also use ul o u ban sus ainabili y simu-
la ions.
Many esea che s applied o mal g amma s, pa icula ly shape
g amma s (S iny, 1980), as ano he pa adigm o gene a e eal-
wo ld man-made objec s. Fo ins ance, Gong e al. (2020) gen-
e a ed u ban ab ic in o hogonal and non-o hogonal u ban land-
scapes based on a p e-de ined se o shape ules. Howe e ,
hese app oaches a e in gene al su e ing unde he o e head o
he manual design o he g amma ules by expe s. Fo mo e
de ails on he opic o gene a i e u ban design, he in e es ed
eade is e e ed o Jiang e al. (2023a).
3. Me hodology
The ollowing sec ions will in oduce he acquisi ion and p o-
cessing o aining da a and desc ibe he applied model o he
gene a ion o building oo p in s based on di e en s ee ypes
building upon he ideas o Geog aphic Da a T ansla ion p esen-
ed by Wu and Biljecki (2022) and u he aking he popula ion
and s ee ne wo k densi y in o accoun .
3.1 Model a chi ec u e
The ne wo k a chi ec u e o he applied model is a ype o Image-
o-Image condi ional GAN (Isola e al., 2017) ha can ansla e
Figu e 1. Ins an CITY a chi ec u e which ou app oach builds
upon (Wu and Biljecki, 2023).
inpu image da a such as s ee ne wo ks o an ou pu image a-
cili a ed wi h gene a ed building oo p in s (Wu and Biljecki,
2023). Using di e en esolu ions, he unde lying ne wo k is
ained on wo esidual ne wo ks namely a Global Gene a o
and a Local Enhance . In each o wa d pass, he gene a o
ies o c ea e ou pu s ha could ’ ick’ he disc imina o in o
hinking he ou pu s a e ’ eal’ while he disc imina o will lea n
o classi y he ou pu s as ’ ake’ and he g ound u h as ’ eal’
(Wu and Biljecki, 2023). Disc imina o s in he model compa e
he encoded ea u es o m bo h he gene a ed images and he
g ound u h o indica e whe he he gene a ed image is eal o
ake. A he end o each o wa d pass, he loss o he gene a o
and he disc imina o is e alua ed and hei weigh s a e upda ed
acco dingly un il he gene a o ’s ou pu s a e compelling enough
so ha he disc imina o de ec s hal o hem as eal images (Wu
and Biljecki, 2023). Figu e 1 shows an o e iew on he ne wo k
a chi ec u e o Ins an CITY which builds he basis o ou pape
aking u he cons ain s in o conside a ion.
3.2 P ocessing
To gene a e igu e-g ound maps, he p e iously desc ibed model
is p o ided wi h aining da a consis ing o wo di e en se s
o image pai s. Each image pai consis s o an inpu and an
ou pu image whe e he model is supposed o lea n he isual
pa e ns o ans o m an inpu image o an ou pu image acco d-
ingly. An inpu image esembles he s ee ne wo k wi h di -
high densi y
mid densi y
1:4000
spa se ne .
dense ne .
1:8000
Figu e 2. Example o aining image pai s o di e en da ase s
showing spa ial esolu ions o 1:4000 s. 1:8000, spa se s.
dense s ee ne wo k and high s. mid buil densi y.
ISPRS Annals o he Pho og amme y, Remo e Sensing and Spa ial In o ma ion Sciences, Volume X-4/W5-2024
19 h 3D GeoIn o Con e ence 2024, 1–3 July 2024, Vigo, Spain
This con ibu ion has been pee - e iewed. The double-blind pee - e iew was conduc ed on he basis o he ull pape .
h ps://doi.o g/10.5194/isp s-annals-X-4-W5-2024-33-2024 | © Au ho (s) 2024. CC BY 4.0 License.
34
colo line wid h (in px) ype
# b301 12 & 9 unk, unk link
#840000 7.5 & 6 mo o way, mo o way link
# 1a01 12 & 6 p ima y, p ima y link
#014182 9 & 3 seconda y, seconda y link
#58d751 6 & 3 e ia y, e ia y link
#75bb d 3 access oads
Table 1. CRHD con igu a ion applied in his wo k.
e en s ee ypes indica ed by di e en line-wid h and colo -
ing acco dingly. The ou pu image ep esen s he igu e-g ound
map showing he s ee ne wo k including building oo p in s.
Based on he oad ne wo k and he building oo p in s ha a e
ex ac ed om OpenS ee Map (OSM), we can gene a e an a -
bi a y amoun o such aining image pai s. As men ioned,
he geome y o he s ee ne wo k has o ep esen he s ee
ype and he e o e is con e ed in o a Colou ed Road Hie a chy
Diag am (CRHD) as p oposed by (Wu and Biljecki, 2023). A
CRHD di e en ia es s ee ypes by hei assigned line-wid h
and colo ing as can be seen in Table 1 and Figu e 2 (Chen e al.,
2021). G ound u h images a e ende ed based on he build-
ing oo p in geome y as well as he s ee ne wo k geome y
whe e e e y geome y is colo ed in solid black and he s ee
ne wo k geome y which has he same line-wid h as de ined o
he CRHD used in he inpu images. The ypes o oads and
pa hs which ha e been selec ed a e also lis ed in Table 1. As
hey belong o he same le el o hie a chy, he ypes esiden ial,
se ice, li ing s ee , oo way, pa h, pedes ian and unclassi ied
a e g ouped in o access oads. Each hie a chy has been asso-
cia ed o a p e-de ined colo . Fo he sake o eplicabili y, he
used colo s and he line wid hs a e also lis ed in he same able.
The Eu opean Commission and he Fede al Minis y o T ans-
po and Digi al In as uc u e (Bundesminis e ium ¨
u Ve keh
und digi ale In as uk u ) di ided he popula ion densi y o
Ge many in o h ee di e en ca ego ies o con iguous g id cells
o 1km2as highligh ed in Figu e 3 Eu opean Commission
(2016); BMVI (2018). A high-densi y g id cell (ci y) co es-
ponds o a popula ion densi y o a leas 1.500 inhabi an s pe
km2wi h a minimum o al popula ion o 50.000. A mid-densi y
g id cell (subu b) e e s o a popula ion densi y o a leas 300
inhabi an s pe km2wi h a minimum o al popula ion o 5.000.
Alow-densi y g id cell has a popula ion densi y below 300 in-
habi an s pe km2. In his wo k, hese ca ego ies will be ap-
plied as a empla e o ex ac ing he aining da a om OSM
acco ding o hei popula ion densi y as highligh ed in Figu e 4.
As pe o med o he ci y o Hambu g, we o e lay he popula-
ion densi y and ex ac aining images acco ding o hei spa-
ial bounda y o he en bigges ci ies in Ge many acco ding o
hei o al popula ion. In he ollowing, he popula ion densi y
based ex ac ion o aining images summa ized in Figu e 4 will
be explained in mo e de ail.
To ende inpu and ou pu image pai s, he A las- ool a ail-
able in QGIS has been used. This ool allows o subsequen
map ende ing o au oma ically ex ac he aining images o
a speci ic spa ial ex en , scale and densi y ca ego y as can be
seen in bo h Figu e 2 and Figu e 4. Subsequen ly, he aining
images o each popula ion densi y a e ende ed in a esolu-
ion o 1024×1024 pixel and s o ed as a PNG ile o ma ch he
inpu size and ile ype equi emen s o he unde lying model
designed by Wu and Biljecki (2023).
In o al, we gene a e di e en aining da ase s wi h he ollow-
ing cha ac e is ics:
high densi y
mid densi y
low densi y
missing da a
popula ion >= 1500
popula ion >= 300
popula ion <300
Figu e 3. Popula ion densi y g id cells ep esen ing de ined
ca ego ies o he ci y o Hambu g, Ge many. Colo s dis inguish
he di e en popula ion densi ies. The ca ego ies ha e been
de i ed acco ding o he de ini ion o he Eu opean Commission.
•Spa ial esolu ion: 1:4000 o 1:8000
•Buil densi y: high o mid
•S ee ne wo k: spa se o dense
Fo each aining da ase , we ex ac ed he image pai s o a
scale o 1:4000 and 1:8000 in o de o p o ide high de ails o in-
di idual buildings o a neighbo hood o building blocks as high-
ligh ed in Figu e 2. Addi ionally, acco ding o Wu and Biljecki
(2023) a hese scales he model is supposed o be able o gen-
e a e a i icial images wi h sha pe co ne s ha would ep esen
eal images mo e closely. The added alue o his pape , is he
conside a ion o he densi y o he s ee ne wo k and, hence,
he in es iga ion o i s po en ial impac on he ained model
and he acco ding gene a ed igu e-g ound maps. The e o e,
we c ea ed wo di e en aining da ase s. The i s one does
no include access oads and, hence, ep esen s spa se s ee
ne wo k da a, whe eas he second comp ises such oads and,
hus, e lec s dense s ee ne wo k da a as can be seen in Fig-
u e 2. Fu he , he popula ion and he acco ding buil densi y
has been aken in o accoun in o de o gene a e igu e-g ound
maps depending on his pa ame e . Thus, he model has been
ained on wo di e en high and mid buil densi ies as al eady
depic ed in Figu e 2.
In gene al, ca ego izing he aining da a a e he abo e men-
ioned le els o popula ion densi ies esul s in he expec ed ou -
comes. Fo egions wi h high popula ion densi ies, we can ob-
se e a high buil densi y ep esen ed h ough closed building
de elopmen . The la e is cha ac e ized by a con inuous and
cohesi e buil s uc u e. Simila ly, mid buil densi ies show
he expec ed open building de elopmen ypically exp essed by
a mo e spacious and less densely cons uc ed buil s uc u e.
Howe e , his pa e n is some imes iola ed con as ing he un-
de lying aining da a.
To o e come his p oblem, we me ged bo h he high and he mid
buil densi y aining da a esul ing in wo da ase s o spa se
and dense s ee ne wo ks. Analogously, wo da ase s wi h di -
e en spa ial esolu ions, namely 1:4000 and 1:8000 ha e been
ISPRS Annals o he Pho og amme y, Remo e Sensing and Spa ial In o ma ion Sciences, Volume X-4/W5-2024
19 h 3D GeoIn o Con e ence 2024, 1–3 July 2024, Vigo, Spain
This con ibu ion has been pee - e iewed. The double-blind pee - e iew was conduc ed on he basis o he ull pape .
h ps://doi.o g/10.5194/isp s-annals-X-4-W5-2024-33-2024 | © Au ho (s) 2024. CC BY 4.0 License.
35
Ou pu
Inpu
OSM
Pixel-based
il e ing
High
Mid
High
Mid
Popula ion-based il e ing
High popula ion
Mid popula ion
densi y
densi y
Figu e 4. Illus a ion o ou aining da a p ocessing pipeline. High, mid and low popula ion densi y da a is p o ided as 1km2g id
cells by Eu os a bu only high and mid popula ion densi y da a is p ocessed.
gene a ed. To u he e ine he ou da ase s and hence e lec
well he le el o densi y, we apply a pixel-based il e ing. He e-
wi h, image pai s a e so ed acco ding o hei p opo ion o
unbuil a ea. An image comp ising mo e han 82% whi e pixels
is hen emo ed om he aining da ase . Images wi h less
han 72% whi e pixels ha e been assigned o he aining da a-
se o high buil densi ies whe eas hose ha ing a p opo ion
o whi e pixels be ween 72% and 82% ha e been associa ed
o he aining da ase wi h mid buil densi y acco dingly. The
h esholds used o e ine ou aining da ase s ha e been de e m-
ined based on a quali a i e isual inspec ion o he unde lying
images. Since he le els o buil densi y migh di e om coun-
y o coun y, he h esholds migh be e-e alua ed o ci ies
ou side o Ge many. In Ge man ci ies, a low popula ion dens-
i y can be p edominan ly s a ed in indus ial dis ic s such as
he sou h o Hambu g as depic ed in Figu e 3. In his pape ,
we ocused on dis ic s wi h mid and high densi y and omi ed
hose co esponding o low densi y. Fo each aining da ase ,
he image pai s a e spli in o aining and es ing da a wi h a
p opo ion o 90% and 10% espec i ely.
4. Expe imen al Resul s
The ollowing sec ion desc ibes he aining da a in mo e de ails
and gi es insigh in o he achie ed expe imen al esul s which
ha e been e alua ed by quali a i e isual inspec ion and quan -
i a i e me ics.
4.1 Da ase s
To p oduce ou aining da a, we use OSM1and popula ion
densi y da a2. In o de o e lec he u ban mo phology o Ge -
man ci ies, we ocus on he en bigges ci ies o aining and
gene a ing igu e-g ound maps. This allows o add essing di -
e en popula ion densi ies as impo an ac o in luencing he
design o such diag ams. The ollowing en mos popula ed ci -
ies in Ge many ha e been selec ed acco dingly: Be lin, Ham-
1h ps://download.geo ab ik.de/eu ope/ge many.h ml
2h ps://ec.eu opa.eu/eu os a /de/web/gisco/geoda a/
e e ence-da a/popula ion-dis ibu ion-demog aphy/
geos a
bu g, Munich, Cologne, F ank u , S u ga , D¨
usseldo , Leip-
zig, Do mund, Essen (S a is a, 2024). A e downloading he
OSM da a o each ci y, he s ee ne wo k da a and he build-
ing oo p in s a e c opped o he adminis a i e bounda ies o
each espec i e ci y. Analogously, he popula ion densi y da a is
s uc u ed in con iguous g id cells o size 1km2and ma ched o
he adminis a i e bounda ies o he a o emen ioned en bigges
ci ies in Ge many.
4.2 Con igu a ion & Accu acy Measu es
We applied he model p oposed by Wu and Biljecki (2023) ol-
lowing he ad ised hype pa ame e s which yielded he bes es-
ul s in hei expe imen s. The model was implemen ed in Py-
To ch and CUDA accele a o . In his con ex , ou expe imen s
ha e been conduc ed wi h PyTo ch e sion 2.2.0wi h CUDA
e sion 12.3. While aining, he model consumed oughly 11
GB o VRAM. A s a ing lea ning a e o 0.0002 and a ba ch
size o 1ha e been chosen wi h a aining ime amoun ing 100
epochs o each expe imen .
One o he mos commonly applied measu e o assess he pe -
o mance o a GAN is he F ´
eche Incep ion Dis ance (FID)
p oposed by Heusel e al. (2017). The FID is a dis ance me -
ic which cap u es he simila i y o images c ea ed by gene -
a i e models o eal images and he eby exp esses he models
o e all quali y. Fo mally, wi h FID we measu e he di e ence
be ween wo Gaussian dis ibu ions using he F ´
eche dis ance
(Ha -Peled and Raichel, 2014). In his wo k, he i s dis ibu-
ion co esponds o he da ase o images gene a ed by ou ap-
p oach, while he o he dis ibu ion co esponds o he e e ence
da ase o images con aining he g ound u h, i.e. igu e-g ound
maps o iden ical spa ial loca ion. Each pa ame ic Gaussian
dis ibu ion is de ined by i ’s mean µand co a iance ma ix Σ
which ha e been de i ed a e ans o ming he eal and gene -
a ed images om he image space o la en ec o embeddings
using he inal coding laye o an incep ion model as can be
seen in Equa ion 1. This way, he FID compa es ea u es ha
co espond o eal-wo ld objec s a he han di ec ly compa -
ing gene a ed and eal images pixel-wise. As a esul , a highe
FID indica es a la ge di e ence be ween he gene a ed and he
eal image while a smalle FID indica es a highe simila i y.
ISPRS Annals o he Pho og amme y, Remo e Sensing and Spa ial In o ma ion Sciences, Volume X-4/W5-2024
19 h 3D GeoIn o Con e ence 2024, 1–3 July 2024, Vigo, Spain
This con ibu ion has been pee - e iewed. The double-blind pee - e iew was conduc ed on he basis o he ull pape .
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36
In ou case, his is in gene al op ically e lec ed by mo e co -
ec ep esen a ions o shapes, sizes, and densi ies o gene a ed
building oo p in s.
F ID =||µX−µY||2−T (ΣX+ ΣY−2√ΣXΣY)(1)
4.3 In e p e a ion & Discussion
1)
gene a ion
eal
high buil densi y
spa se s ee ne .
dense s ee ne .
2)
eal
gene a ion
Figu e 5. Compa ison o wo gene a ed igu e-g ound maps wi h
a high buil densi y ained wi h spa se (le ) and dense ( igh )
s ee ne wo k da a wi h a spa ial esolu ion o 1:8000.
Va ying he abo e men ioned ac o s and he esolu ion, we
ained a model in o de o gene a e igu e-g ound maps ac-
co dingly. Expe imen al esul s shown in Figu e 5 highligh
he di e ences in he gene a ion o high densi y igu e-g ound
maps using spa se o dense s ee ne wo k aining da a. Pa -
icula ly, clea o see is ha he model is much be e o gene a e
inne cou ya ds which a e ypical o closed building de elop-
men in high buil densi y dis ic s in Ge many when small ac-
cess oads o hese inne cou ya ds a e p o ided o he model
du ing aining. Mo eo e , a dense , mo e de ailed s ee ne -
wo k seems o ob iously imp o e he gene a ion o buil s uc-
u es ha ollow along he geome y o s ee s as highligh ed
by Figu e 5. In e es ingly, he model does no seem o ge o e -
whelmed when lea ning on a dense s ee ne wo k as he s ee s
a e always gene a ed supe bly wi h only mino di e gence om
he inpu image.
1)
gene a ion
eal
mid buil densi y
spa se s ee ne .
dense s ee ne .
2)
eal
gene a ion
Figu e 6. Compa ison o wo gene a ed igu e-g ound maps wi h
a mid buil densi y ained wi h spa se (le ) and dense ( igh )
s ee ne wo k da a wi h a spa ial esolu ion o 1:8000.
Doing he same compa ison bu o mid densi y igu e-g ound
maps, he isual di e ence be ween he maps gene a ed by he
model ha was ained on dense s ee ne wo k da a and he one
ha was ained on spa se s ee ne wo k da a is less no iceable
as isualized in Figu e 6.
Figu e 7 example 2) demons a es a gene a ed igu e-g ound
map whe e e en indi idual pa hways o house en ances a e
conside ed by he model and a e clea ly dis inguishable. Fu -
he mo e, example 1) o he same igu e depic s esul s whe e
ISPRS Annals o he Pho og amme y, Remo e Sensing and Spa ial In o ma ion Sciences, Volume X-4/W5-2024
19 h 3D GeoIn o Con e ence 2024, 1–3 July 2024, Vigo, Spain
This con ibu ion has been pee - e iewed. The double-blind pee - e iew was conduc ed on he basis o he ull pape .
h ps://doi.o g/10.5194/isp s-annals-X-4-W5-2024-33-2024 | © Au ho (s) 2024. CC BY 4.0 License.
37

eal
gene a ion
1)
2)
3)
4)
inpu
Figu e 7. Resul s om ou di e en high densi y es images
wi h a spa ial esolu ion o 1:8000 and a dense s ee ne wo k.
The inpu image, he gene a ed igu e-g ound map and he eal
igu e-g ound map a e displayed.
la ge indus ial acili ies a e accu a ely gene a ed due o he a -
angemen , ype and wid h o he s ee s. Fo he mid buil dens-
i y, we can u he s a e ha he gene a ed scenes a e cha ac e -
ized by o ganic and easonable building oo p in shapes as can
be depic ed in Figu e 8.
Analyzing he igu e-g ound maps o high and mid densi ies a
a spa ial esolu ion o 1:4000 issued om a ained model on a
dense s ee ne wo k e eals a la ge disc epancy o hose gene -
a ed a 1:8000 as indica ed by Figu e 9. A a spa ial esolu ion
o 1:4000, he model seems o be incapable o p oduce accu a e
building geome ies bo h o high and mid densi y scena ios.
To conclude ou expe imen al esul s, we calcula ed he FID
sco es. As indica ed by Table 2, igu e-g ound maps gene a ed
wi h a model ha is ained on a spa ial esolu ion o 1:4000
esul s in wo se pe o mance compa ed o he ou pu o a model
ha is ained on a spa ial esolu ion o 1:8000, suppo ing he
indings o he isual analysis. The FID sco es o he igu e-
g ound maps esul ing om high and mid densi ies o a spa ial
esolu ion o 1:8000 show ha aining he model wi h spa se
s ee ne wo k da a hampe s he pe o mance o he model sig-
ni ican ly.
densi y s ee ne wo k spa ial esolu ion FID
high dense 1:4000 153.14
mid dense 1:4000 140.20
high dense 1:8000 71.25
mid dense 1:8000 75.52
high spa se 1:8000 116.46
mid spa se 1:8000 84.77
Table 2. FID sco es o he conduc ed expe imen s.
eal
gene a ion
1)
2)
3)
4)
inpu
Figu e 8. Resul s om ou di e en mid densi y es images
wi h a spa ial esolu ion o 1:8000 and a dense s ee ne wo k.
The inpu image, he gene a ed igu e-g ound map and he eal
igu e-g ound map a e displayed.
1)
2)
3)
eal
gene a ion
eal
gene a ion
high buil densi y
mid buil densi y
4)
Figu e 9. Resul s om ou di e en high and mid densi y es
images wi h a spa ial esolu ion o 1:4000 and dense s ee
ne wo k da a.
5. Conclusion and Ou look
This pape in oduced an app oach owa ds a deep au oma ic
gene a ion o igu e-g ound maps commonly used in u ban plan-
ISPRS Annals o he Pho og amme y, Remo e Sensing and Spa ial In o ma ion Sciences, Volume X-4/W5-2024
19 h 3D GeoIn o Con e ence 2024, 1–3 July 2024, Vigo, Spain
This con ibu ion has been pee - e iewed. The double-blind pee - e iew was conduc ed on he basis o he ull pape .
h ps://doi.o g/10.5194/isp s-annals-X-4-W5-2024-33-2024 | © Au ho (s) 2024. CC BY 4.0 License.
38
ning. We show ha ou app oach is able o au oma ically gen-
e a e igu e-g ound maps ha can be adjus ed o high and mid
buil densi ies. The gene a ed maps consis o a i icially gen-
e a ed building oo p in s and a p ede ined s ee ne wo k. This
opens up new oppo uni ies o suppo he as ye edious si e
plan d a ing and has he po en ial o accele a e his ime con-
suming ask which di e en s ages o u ban de elopmen ely
on. The ained model u ns ou o cap u e he buil densi y
which has been e lec ed by he esul ing maps. In his con ex ,
a aining and da a p ocessing on a dense and mo e de ailed
s ee ne wo k wi h a mid spa ial esolu ion impac ed he es-
ul ing a angemen and sha pness o building oo p in s. As o
now he models backbone is an unmodi ied condi ional GAN.
A goal o u u e esea ch is he inco po a ion o u he ypical
si e plan equi emen s, e.g. he physical dimensions o a plo
o cons ain s on he a io be ween buil and unbuil a ea. Fo a
mo e accu a e ep esen a ion o he popula ion and buil dens-
i ies, he inco po a ion o he desi ed numbe o loo s will be
add essed as well. Addi ionally, de ailed expe imen al in es ig-
a ion including pa ame e uning and op imiza ion will be sub-
jec o u u e wo k.
Acknowledgemen s
The au ho s would like o exp ess hei g a i ude o he open
code om Wu and Biljecki (2023).
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h ps://doi.o g/10.5194/isp s-annals-X-4-W5-2024-33-2024 | © Au ho (s) 2024. CC BY 4.0 License.
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