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UNCORRECTED

PROOF

1

2

Assessment of the state of conservation of buildings through roof

3

mapping using very high spatial resolution images

4

Luísa Gonçalves

a,*

, Cidália

C.

Fonte

b,c

, Eduardo

N.B.S.

Júlio

d

, Mario Caetano

e,f

5 a

Polytechnic Institute of Leiria, School of Technology and Management,Morro do Lena – Alto Vieiro, Apart. 4163, 2411-901 Leiria,Portugal 6 bInstitute for Systems and Computers Engineering at Coimbra, Portugal

7 cDepartment of Mathematics, University of Coimbra, Portugal

8 d

ISISE, Civil Engineering Department, University of Coimbra, Portugal

9 e

Portuguese Geographic Institute (IGP), Remote Sensing Unit (RSU), Lisboa, Portugal

10 f

CEGI, Instituto Superior de Estatística e Gestão de Informação, ISEGI, Universidade Nova de Lisboa, Portugal

Q1 11 1 3

a r t i c l e

i n f o

14 Article history: 15 Received 4 September 2008 16 Accepted 11 March 2009 17 Available online xxxx 18 Keywords: 19 Building roofs 20 Soft classification 21 Hybrid classification 22 Measures of uncertainty 23 Cultural heritage 24 2 5

a b s t r a c t

26 The assessment of the state of conservation of buildings is extremely important in urban rehabilitation. In

27 the case of historical towns or city centres, the pathological characterization using traditional methods is

28 a laborious and time consuming procedure. This study aims to show that Very High Spatial Resolution

29 (VHSR) multispectral images can be used to obtain information regarding the state of conservation of

30 roofs where, usually, building degradation starts. The study was performed with multispectral aerial

31 images with a spatial resolution of 0.5 m. To extract the required information, a hybrid classification

32 method was developed, that integrates pixel and object based classification methods, as well as

informa-33 tion regarding the classification uncertainty. The proposed method was tested on the classification of the

34 historical city centre of Coimbra, in Portugal, that includes over than 800 buildings. The results were then

35 validated with the data obtained from a study conducted during2years by a nine element team from the

36 University of Coimbra, using traditional methods. The study performed achieved a global classification

37 accuracy of 78%, which proves that the state of conservation of roofs can be obtained from VHSR

multi-38 spectral images using the described methodology with a fairly good accuracy.

39 Ó 2009 Published by Elsevier Ltd.

40 41

42 1. Introduction

43 Before planning an urban intervention in historical towns or

44 city centres, it is necessary to characterize what exists by

perform-45 ing an architectural and structural survey of buildings within that

46 area[10]. This plays a crucial role in defining the required

conser-47 vation or rehabilitation operations. Traditional techniques used to

48 identify and map both structural and non-structural anomalies are

49 manually performed and require an individual on-site analysis of

50 each building. These techniques present major drawbacks as they

51 are work-intensive and time consuming [10]. Furthermore,

fre-52 quently some parts of the buildings such as roofs are inaccessible,

53 which makes the inspection process even more difficult. Therefore,

54 it is necessary to develop new methods, by exploring other

possi-55 ble sources of information, that can provide data on existing

anom-56 alies, such as durt, deterioration, cracking, biological colonization,

57 moss, and pioneer vegetation, overcoming the disadvantages of

58 traditional methods previously referred to.

59

Some experimental tests, preformed mainly on stone

monu-60

ments and masonry walls, proved that it is possible to obtain

accu-61

rate information about materials and degradations on buildings

62

facades through an automatic classification from visible and near

63

infrared photographs (e.g.[10,12,13,15]). The study reported here

64

intends to evaluate the applicability of Very High Spatial

Resolu-65

tion (VHSR) multispectral aerial images, which have additional

66

problems due to geometric and atmospheric distortions when

67

compared to ground photographs, to detect damages on more than

68

800 building roofs situated in a historical city centre and to identify

69

their state of conservation. Multispectral aerial images, with a

spa-70

tial resolution of 0.5 m in four spectral wavebands, which has

spa-71

tial and spectral characteristics comparable to VHSR satellite

72

images, were used.

73

Although the VHSR multispectral images have great potential,

74

they also present drawbacks and limitations, such as, the increase

75

of the spectral variability and the amount of shadows, as well as

76

the enormous amounts of data[3]. In addition, although the

num-77

ber of pure pixels increases with the spatial resolution, this

in-78

crease is followed by the presence of classes that are mosaics of

79

single entities or a spatial arrangement of pixels, such as buildings.

80

There are several available techniques for the automatic extraction

0950-0618/$ - see front matter Ó 2009 Published by Elsevier Ltd. doi:10.1016/j.conbuildmat.2009.03.002

* Corresponding author. Tel.: +351 244 843 339; fax: +351 244 820 310. E-mail address:luisag@estg.ipleiria.pt(L. Gonçalves).

Contents lists available atScienceDirect

Construction and Building Materials

j o u r n a l h o m e p a g e : w w w . e l s e v i e r . c o m / l o c a t e / c o n b u i l d m a t

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UNCORRECTED

PROOF

81 of information from these images. They can be performed on a

pix-82 el basis(e.g.[17,2,19,11]) object basis(e.g.[8,3]) or a combination

83 of both(e.g. [18,14]). This last approach has been named as

per-84 field classification when the objects are obtained from digital

vec-85 tor data or Geographic Information Systems (GIS)[1]. Even though,

86 some new approaches have been developed, the efficient

extrac-87 tion of information from VHSR images still remains to impose

88 new demands and the need to develop methodologies that

incor-89 porate shape and context, which are some of the main clues used

90 by a human interpreter, and a closer integration of remote sensing

91 and GIS[4,3].

92 In this study a hybrid classification method is developed to

ob-93 tain information about the buildings roof materials and their

94 pathologies. The method combines pixel and object classification

95 and incorporates uncertainty information in the soft automatic

96 classification of the images. This approach has similarities with

97 the per-field classification since the objects used in the

classifica-98 tion process were obtained from a vector cartographic map of

99 the region. The results are then compared with the ones obtained

100 with a traditional pathology survey, conducted during2years by

101 a nine element team from the University of Coimbra, and some

102 conclusions are drawn.

103 2. Data set and case-study area

104 The case-study area selected is the historical city centre of

105 Coimbra, in Portugal, with an area of approximately 14.8 ha, that

106 includes over than 800 buildings, some of them are historical

107 buildings, colleges and monasteries, most of these from the 16th

108 century, innumerable alleyways and small squares (Fig. 1).

109 In the study herein described, we used multispectral aerial

110 images with a resolution of 0.5 m, which belongs to a set ofortho

111 rectifieddigital images covering the Portuguese mainland territory,

112 obtained by plane between 2005 and 2006 with anUltraCamTM sen-113 sor of Vexcel by the Portuguese Geographic Institute (IGP) and the

114Q2 Portuguese Forest Services(DGRF).The study was performed using

115 four multispectral bands (blue, green, red and near infrared) and

116 the pixels are recorded ineightbits. A vegetation index was also

117 computed for each data image, namely the Normalized Difference

118 Vegetation Index (NDVI, Eq. (1)) which was used as additional

119 band information to improve the detection of areas with

chloro-120 phyll (e.g. moss, lichen, moulds).

121

NDVI ¼ ð

q

nir

q

redÞ=ð

q

nirþ

q

redÞ ð1Þ

123 123

124

where

q

nirand

q

redrepresent the surface reflectance ofnear

infra-125

redand redbands,respectively.

126

A vector cartographic map, at the 1:1000 scale, was used to

ob-127

tain the polygons corresponding to the buildings of the case-study

128

area (Fig. 1). The buildings information was extracted from the

car-129

tography and imported to a GIS.

130

3. Proposed method

131

Multispectral classification methods are based on the fact that

132

the reflectance characteristics of the different land cover classes

133

depend upon the radiation wavelength. The representation of the

134

intensity values registered at each pixel for n image channels

(cor-135

responding to n different wavelengths) into ann-dimensional

fea-136

ture space generates a cluster, in thisn-dimensionalspace, for each

137

class. In the supervised classification methods, reference areas are

138

used to identify and mark this clusters.

139

In this study, a previous analysis, by visual interpretation, of the

140

images were made to evaluate if it was possible to identify the

141

main materials existing in the area, the presence of pathologies

142

in the buildings roofs and, when present, the different kind of

143

pathologies. It was possible to conclude that, even though the

144

images have very high spatial resolution, these only enable the

145

identification of the roofs with pathologies and do not allow the

146

identification of their different types. Besides that, the majority

147

of roofs have several types of pathologies, which makes the

defini-148

tion of the reference (or training) areas, which are used to perform

149

the classification and validation, considerably difficult, even with

150

0.5 m pixel spatial resolution. This previous analysis was followed

151

by the definition of the method, the definition of classes and the

152

identification of reference areas.

153

The main roof materials in the case-study area are: ceramic

154

tiles; fibrocement corrugated sheets; and steel panels. The results

155

obtained by the survey performed by the University of Coimbra

re-156

vealed that, from the 681 buildings studied (82% of the buildings of

157

the case-study area), 90% have ceramic tile roof materials. For this

158

reason, the present study focuses only in the identification of

159

buildings with ceramic tile roof pathologies, to obtain a Building

160

Pathology Map (BPM). The extraction of this kind of information

161

from the image requires, not only the classification of the

elemen-162

tary entities (pixels in this case), but also the analysis of their

dis-163

tribution inside the buildings. To achieve this goal, an independent

164

identification of the roof materials, such as ceramic roof tile and

165

steel roof panel, was made, producing the information about the

Fig. 1. The data of the case-study area: (a) aerial images (RGB321); (b) overlay of the vector buildings map and the aerial images.

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UNCORRECTED

PROOF

166 Surface Elements Material (SEM). The same approach was used to

167 identify the parts of buildings that present any kind of pathology,

168 producing the information about the Surface Elements Pathology

169 (SEP). The classification method developed is a hybrid approach

170 that includes two preliminary pixel classifications of the image,

171 constructing a Surface Elements Materials Map (SEMM) and a

Sur-172 face Elements Pathology Map (SEPM), based on a soft probabilistic

173 pixel classification. This classification method assigns, to each

pix-174 el, different degrees of probability to the several classes under

con-175 sideration. This extra data provided additional information at the

176 pixel level which allowed the assessment of the classification

177 uncertainty.

178 Since the survey used as reference information produced a

clas-179 sification of the buildings conservation level, to allow the

compar-180 ison of the results obtained with both approaches, it was crucial

181 that the results produced with this new approach would also be

182 at the building level. Therefore, the subsequent step was the

iden-183 tification of the Building Units (BU), which was obtained from the

184 vector cartographic map available at 1:1000 scale. This information

185 was converted to the raster format, generating a raster buildings

186 map, and was used as a mask, so that only the parts of the classified

187 image inside the buildings were processed to obtain the BPM. At

188 this stage, the BU becomes the basic units rather than the

individ-189 ual pixels. The pathologies identification within each BU was

per-190 formed considering a set of rules that included information about:

191 (1)the distribution of the classified pixels;(2)the probabilities

as-192 signed to the several classes for each pixel;(3)the degree of

uncer-193 tainty associated to these assignments. The introduction of

194 uncertainty information, associated to the pixel classification of

195 SEP and the SEM, was used to avoid the use of misclassified pixels

196

in the transformation from the SEMM and the SEPM to the BPM,

197

since it was shown that this approach improves the land cover

198

classification[9].

199

The proposed method includes the following steps (seeFig. 2):

200

(1)softpixel basedclassification of the multispectral aerial image

201

to obtain the SEMM and the SEPM;(2)evaluation of the

classifica-202

tion;(3)evaluation of the classification uncertainty;(4)pathology

203

classification of the buildings with ceramic tile material, based on

204

decision rules using the SEMM the SEPM and their uncertainty

205

information;(5)evaluation of the classification accuracy.

206

3.1. Training and testing data

207

The sampling design has an important role in the classification

208

and accuracy assessment. In this study five sampling protocols

209

were established. Two for training, respectively, the SEP and the

210

SEM pixel classification, two to evaluate these classifications and

211

another to evaluate the final building map classification. The

train-212

ing dataset consisted on a semi-random selection of sites (Fig. 3).

213

For each class, fifteen building polygons were selected manually

214

from the case-study area and a stratified random selection of 100

215

samples inside the chosen buildings was performed. To evaluate

216

the soft pixel classification accuracy a stratified random sample

217

of 100 pixels per class was made, spread over all buildings. This

218

number of pixels was used because it is recommended to obtain

219

a standard error of 0.05 for the estimated user’s accuracy of each

220

class[16]. The soft pixel classification was only evaluated inside

221

the building polygons. For the accuracy assessment of the final

222

BPM a stratified random selection of 100 samples was performed

223

considering all buildings. The accuracy assessment was made with

Fig. 2. Flowchart of the method.

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UNCORRECTED

PROOF

224 an error matrix. In this stage, the survey performed by the

Univer-225 sity of Coimbra regarding all buildings was used as reference

infor-226 mation to identify the ceramic building roofs with anomalies and

227 not deteriorated in the case-study area.

228 3.2. Spectral analysis

229 The information of the training data set was also used to study

230 the spectral separability of the classes at the pixel level. For this

231 purpose the Bhattacharya Distance (B-Distance) and a dimensional

232 scatter plot were used.

233 To visualize the results the red and the near infrared bands were

234 used as axis, since, due to the presence of vegetation and patches in

235 some roofs, these two bands are the ones that better allow the

dif-236 ferentiation between the classes. The B-Distance can serve as an

237 indicator to the final performance of the supervised classification.

238 A high B-Distance value means that classes are spectrally

separa-239 ble, therefore, the larger the B-Distance value the better the final

240 classification.

241 3.3. Classification

242 The classification method includes several steps. First, two soft

243 pixel classifications of the image were performed using a

probabi-244 listic classifier based on Bayesian modelling, for the identification

245 and mapping of the SEP and the SEM. This classifier was selected

246 because it has been used in other studies to derive accurate

classi-247 fications (e.g. [2,19,5]). The Bayesian classifier is similar to the

248 Maximum Likelihood Classifier (MLC), the most widely used image

249 classifier in remote sensing, but it has been mainly used in its crisp

250 version. However, the output may be derived in the form of

poster-251 ior class probabilities providing a soft classification(e.g.[17,6,7]).

252 Unlike traditional hard classifiers, the output is not a single

classi-253 fied map, but rather a set of images (one per class) that express the

254 probability that each pixel belongs to the class in question. This

ex-255 tra data also provided additional information at the pixel level

256 which allowed the assessment of the classification uncertainty.

257 The soft pixel classification of the SEM was driven using four

mul-258 tispectral bands and the SEP was performed also with the NDVI

259 vegetation index.

260 The surface elements classes used in this study for the SEMM

261 were ‘‘Dark Ceramic Roof Tile” (CT-D), ‘‘Bright Ceramic Roof Tile”

262 (CT-B) ‘‘Fibrocement Corrugated Roof Sheet” (FC), ‘‘Steel Roof

263 Panel” (SP) and ‘‘Roof Shadow” (RS). For the SEPM the classes were

264 ‘‘Ceramic Roof Tile Anomalies” (C-A), ‘‘Ceramic Roof Tile Not

Dete-265 riorated” (C-ND) and Ceramic Roof tile with Shadow (C-S). The Roof

266 Shadow and Ceramic Roof tile with Shadow classes were

consid-267

ered due to the significant amount of shadows that the VHSR

mul-268

tispectral aerial images presented. By considering these classes in

269

the development of classification rules it was possible to reduce

270

misclassification of roof materials and pathologies at the building

271

level.

272

Secondly, the uncertainty of the probabilistic classification was

273

evaluated using an indicator of theClassification Uncertainty(CU),

274

available in the commercial software IDRISIS, given by

CU ¼ 1  max i¼1;...;nðpiÞ  Pn i¼1pi n 1 1 n ð2Þ 276 276 277

where pi(i =1, . . . , n)are the probabilities associated to the several

278

classes and n is the number of classes under consideration. This

279

indicator assumes values in the interval [0, 1]and only depends

280

on: the maximum probability; the sum of all probabilities assigned

281

to the class; the total number of classes. CU evaluates until which

282

point the classification is dispersed over more than one class and

283

the degree of compatibility with the most probable class, providing

284

information regarding the classifier difficulty in assigning only one

285

class to each pixel.

286

The subsequent step was the construction of the BPM through

287

the combination of the SEPM, the SEMM, their uncertainty

infor-288

mation and the buildings polygons converted to the raster format

289

and used as a mask. This was achieved through a development of

290

rules that incorporate the arrangement of the previous soft pixel

291

based classifications within each BU, the information on the

prob-292

abilities assigned to the several classes at each pixel and the degree

293

of uncertainty associated to these assignments. The rules

construc-294

tion requires a preliminary analysis of the probabilities assigned to

295

the SEP and SEM classes and their uncertainty in order to choose

296

the appropriate thresholds. The BU classes used in this study are:

297

‘‘Buildings with Ceramic Roof Tile With Anomalies”(B-C-A), varying

298

from ‘‘State of Conservation 1” (SC1) to ‘‘State of Conservation 4”

299

(SC4); and ‘‘Buildings With Ceramic Roof Tile Not Deteriorated”

300

(B-C-ND), corresponding to ‘‘State of Conservation 5” (SC5).

301

The transformation of a SEPM and a SEMM into a BPM is similar

302

to a decision tree which, for geographical objects, is a hierarchical

303

structure consisting of several levels. At each level a test is applied

304

to one or more attribute values. Application of the rule results

305

either into a leaf, allocating an object to a class, or a new decision

306

node, specifying a further decision rule.Fig. 4shows the BU classes

307

classification workflow andTable 1shows the used rules. The aim

308

of rules1–3is to make a distinction between ‘Buildings With

Cera-309

mic Roof Tile’ C) and ‘Buildings With No Ceramic Roof Tile’

(B-310

NC). Rule4–6classifies the ‘Buildings With Ceramic Roof Tile’ into

311

‘‘Buildings With Ceramic Roof Tile With Anomalies” and ‘‘Buildings

312

With Ceramic Roof Tile Not Deteriorated”, corresponding to ‘‘State

313

of Conservation 5”. Rule 7 assigns the ‘‘Buildings With Ceramic

314

Roof Tile With Anomalies” (B-C-A) to one of four possible classes:

315

‘‘State of Conservation 1”, ‘‘State of Conservation 2”, ‘‘State of

Con-316

servation 3” and ‘‘State of Conservation 4”.

317

4. Results and discussion

318

4.1. Spectral analysis

319

Figs. 5 and 6show the spectral separability of, respectively, the

320

SEM and SEP classes. It can be observed that, for the represented

321

wavelengths, the ellipses corresponding to all SEM and SEP classes

322

are almost completely separated. Only some minor overlap is

ob-323

served, mainly between Roof Shadows (RS) and the classes

Fibroce-324

ment Corrugated Roof Sheet (FC) and Dark Ceramic Roof Tile

(CT-325

D). Ceramic Roof Tile with Shadows (C-S) spectral signature also

326

presents a slight overlap with the class Ceramic Roof Tile with

Fig. 3. Example of sample training areas in the aerial images RGB321.

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UNCORRECTED

PROOF

327 Anomalies (C-A). The results given by theB-Distancereinforce the

328 results shown by the scatter plot. The average separability measure

329 of the SEMM classes is 1.87 and for the SEPM the average

separa-330 bility is 1.93 indicating a good performance of the supervised

331 classification.

332 4.2. Classification

333 The accuracy of the SEMM and SEPM produced is presented in

334 Table 2, expressed by the Global Accuracy (GA) and the Kappa

coef-335

ficient. The accuracies of the SEMM and the SEPM obtained are very

336

similar, but the SEPM one is slightly better, which is consistent with

337

theB-Distanceresults. The User’s and Producer’s accuracy of the

338

SEMM and SEPM arepresented, respectively,inFigs. 7 and 8.

339

The User´s and Producer’s accuracy values per class show that

340

the class Ceramic Roof Tile (CT) was very well identified. Some

con-341

fusion was observed between Fibrocement Corrugated Roof Sheet

342

(FC), Steel Roof Panel (SP) and Roof Shadow (RS), which lowered

343

the respective accuracy specific indices. This confusion was due

344

to the proximity of the corresponding spectral signatures.

Fig. 4. Building unit classes classification workflow.

Table 1

Classification rules. Rule

Number

Rules If true

1 At least 50% of the pixels of the SEMM, located inside the BU, are classified as ‘‘Ceramic Roof Tile” with a probability higher than 0.75 and uncertainty less than 0.25.

Assign to class B-C

2 If the percentage of ‘‘Ceramic Roof Tile”, with a probability higher than 0.75 and uncertainty less than 0.25, inside the BU, is higher than the percentage of ‘‘Fibrocement Corrugated Roof Sheet” and ‘‘Steel Roof Panel” and higher than the percentage of ‘‘Roof Shadow”.

Assign to class B-C

3 If the percentage of ‘‘Ceramic Roof Tile”, with a probability higher than 0.75 and uncertainty less than 0.25, inside the BU, is higher than the percentage of ‘‘Fibrocement Corrugated Roof Sheet” and ‘‘Steel Roof Panel” and the percentage of ‘‘Roof Shadow is higher than 0,5.

Assign to class B-C

4 At least 50% of the pixels of the SEPM inside the BU classified as ‘‘Buildings With Ceramic Roof Tile”, is ‘‘ Ceramic Roof Tile With Anomalies” with a probability higher than 0.75 and uncertainty less than 0.25.

Assign to class B-C-A

5 If the percentage of ‘‘ Ceramic Roof Tile With Anomalies” inside the BU classified as ‘‘Buildings With Ceramic Roof Tile” is higher than the percentage of ‘‘Ceramic Roof Tile Not Deteriorated” and higher than the percentage of ‘‘Roof Shadow”.

Assign to class B-C-A

6 If the percentage of ‘‘ Ceramic Roof Tile With Anomalies” inside the BU classified as ‘‘Buildings With Ceramic Roof Tile” is higher than the percentage of ‘‘Ceramic Roof Tile Not Deteriorated” and the percentage of ‘‘Roof Shadow” is higher than 0.5.

Assign to class B-C-A

7 Buildings classified as ‘‘Buildings with Ceramic Roof Tile With Anomalies” have more than 75% of pixels classified as ‘‘Ceramic Roof Tile With Anomalies” with a probability higher than 0.75 and uncertainty lower than 0.25.

SC1

Buildings classified as ‘‘Buildings with Ceramic Roof Tile With Anomalies” have between 50% and 75% of pixels classified as ‘‘Ceramic Roof Tile with Anomalies” with a probability higher than 0.75 and uncertainty lower than 0.25.

SC2

Buildings classified as ‘‘Buildings with Ceramic Roof Tile With Anomalies” have between 25% and 50% of pixels classified as ‘‘Ceramic Roof Tile With Anomalies” with a probability higher than 0.75 and uncertainty lower than 0.25.

SC3

Buildings classified as ‘‘Buildings with Ceramic Roof Tile With Anomalies” have between 0% and 25% of pixels classified as ‘‘Ceramic Roof Tile With Anomalies” with a probability higher than 0.75 and uncertainty lower than 0.25.

SC4

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PROOF

345 Fig. 8shows that the classification of Ceramic Roof Tile With

346 Anomalies (C-A) presents higher values for the Producer’s accuracy

Fig. 5. Spectral separability of the Surface Elements Materials classes: Dark Ceramic Roof Tile (CT-D); Bright Ceramic Roof Tile (CT-B); Fibrocement Corrugated Roof Sheet” (FC); Steel Roof Panel (SP) and Roof Shadow (RS).

Fig. 6. Spectral separability of the Ceramic Roof Tile with Anomalies (C-A), Not Deteriorated (C-ND) and Ceramic Roof Tile with Shadows (C-S).

Table 2

Classification accuracy indexes.

GA (%) Kappa (%) SEMM 89 86 SEPM 94 92 0 10 20 30 40 50 60 70 80 90 100 CT FC SP RS Classes %

User's accuracy Producer´s accuracy

Fig. 7. User’s and Producer’s accuracy of the Surface Elements Material Map (SEMM) classes: Ceramic Roof Tile (CT), Fibrocement Corrugated Roof Sheet (FC), Steel Roof Panel (SP) and Roof Shadow (RS).

0 10 20 30 40 50 60 70 80 90 100 C-A C-ND C-S Classes %

User's accuracy Producer's accuracy

Fig. 8. User’s and Producer’s accuracy of the Surface Elements Pathology Map (SEPM) classes: Ceramic Roof Tile with Anomalies (C-A), Not Deteriorated (C-ND) and Ceramic Roof Tile with Shadows (C-S).

0 0.04 0.08 0.12 0.16 0.2 CT FC SP RS Classes Uncertainty

Fig. 9. Average classification uncertainty per class of the surface elements material map. 0 0.01 0.02 0.03 0.04 0.05 0.06 C-A C-ND C_S

Classes

Uncertainty

Fig. 10. Average classification uncertainty per class of the surface elements pathology map. 0 10 20 30 40 50 60 70 80 90 100 D N -C -B A -C -B Classes % User's Producer's

Fig. 11. The User’s and Producer’s accuracy of the BPM obtained with the hybrid approach applied to the aerial images.

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PROOF

347 than for the User’s accuracy while the opposite occurs for the

Cera-348 mic Roof Tile Not Deteriorated (C-ND), which means that the C-A

349 class presents more commission errors and the C-ND presents

350 more omission errors.

351 Figs. 9 and 10 show the average uncertainty per class of the

352 SEMM and SEPM, respectively. The comparison of these results

353 with Figs. 7 and 8show that they are consistent. For example,

354 the classes Ceramic Roof Tile (CT) and Steel Roof Panel (RS) in

355 the SEMM present the lower values of uncertainty and the higher

356 values of accuracy, while the other two classes show higher

uncer-357 tainty and lower accuracy.

358 The global classification accuracy of the BPM was 78%. The

359 User’s and Producer’s accuracy are shown inFig. 11. Since the class

360 Buildings With Ceramic Roof Tile With Anomalies (B-C-A) presents

361 lower User’s Accuracy it has more commission errors while the

362 class Buildings With Ceramic Roof Tile Not Deteriorated (B-C-ND)

363 has more omission errors (corresponding to lower Producer’s

Accu-364 racy). This means that some buildings, which were classified with

365 this approach as having anomalies, according to the reference

366 study do not present them.

367 The reference study analyzed 826 buildings within the

case-368 study area. With this traditional survey, 75% of the buildings were

369 identified as having ceramic roof tile while, with the new approach,

370 76% of the buildings were identified to have this type of roof,

cor-371 responding to a slight increase in the identification of this roof

372 material. The comparison between the two methods showed that

373 85% of the buildings with ceramic roof tile identified by the

tradi-374

tional survey were also identified with this new approach. In

addi-375

tion, the comparison between the BPM and the map made with the

376

traditional method showed that 77% of the ceramic roof tile with

377

pathologies, identified with the traditional survey was also

identi-378

fied by this new approach (Fig. 12).

379

The analysis of the differences between the pathology map

ob-380

tained with the traditional methods and BPM leads to the

conclu-381

sion that they are mainly due to the presence of shadows in the

382

image, to the fact that the image and the vector cartographic

383

map do not match perfectly (as shown inFig. 1) and mainly

be-384

cause the traditional survey was made between 2003 and 2004

385

and the aerial images were produced from aerial digital photos

ob-386

tained between 2005 and 2006.

387

Since the shadows spectral signature presents some overlap

388

with the class Ceramic Roof Tile With Anomalies (C-A), some

build-389

ings with a great amount of shadows may be wrongly classified as

390

presenting anomalies, which may explain the amount of

commis-391

sion and omission errors shown in the B-C-A and B-C-ND classes

392

(seeFig. 11). The mismatches between the buildings in the vector

393

cartographic map and the image have the consequence that some

394

pixels placed inside the regions corresponding to the buildings

395

actually do not represent parts of buildings and therefore may

gen-396

erate wrong conclusions. Since there is a temporal discrepancy

be-397

tween the data used in both studies some changes occurred in the

398

region, and therefore the different results obtained with both

stud-399

ies for some building may actually be both correct. For example,

400

between these two periods several roofs were repaired or replaced

Fig. 12. Comparison between the Building Pathology Map (BPM) and the map made with the traditional approach: (a) Pathology map generated with traditional methods; (b) BPM; (c) difference between the two maps.

Fig. 13. (a) Extract of the aerial images (RGB321) overlaid with the buildings with ceramic roof tile not deteriorated obtained with the traditional methods. (b) Extract of the aerial images (RGB321) overlaid with the buildings with ceramic roof tile not deteriorated classified by the new approach. The circles mark some of the buildings which roofs were repaired or replaced by new ones and were correctly identified with the new classification approach.

(8)

UNCORRECTED

PROOF

401 with new ones, which therefore did not present any anomaly in the

402 aerial images and were well identified with the new classification

403 approach (seeFig. 13). On the other hand some roofs that did not

404 present anomalies in 2003–2004 may have developed some since

405 then, which became visible in 2005–2006.

406 The increase in VHSR multispectral images spatial resolution,

407 despite enabling the identification of ceramic tile material also

al-408 lows the identification of other features, such as regions with

cera-409 mic tiles that belong to the same roof but present different

410 brightness or shadows due to slope differences and sun

orienta-411 tion. This aspect is a major problem for this kind of application.

412 However, the proposed hybrid method of classification proved to

413 be adequate to solve this kind of difficulties, since it enabled a

cor-414 rect transformation of surface elements into building classification

415 units (seeFig. 14).

416 5. Conclusions

417 The obtained results show that the application of very high

spa-418 tial resolution (VHSR) multispectral images to heritage

conserva-419 tion, in particular to the extraction of information concerning

420 roof anomalies, is very promising. The VHSR image used in the

421 study, enabled a good identification of the different roof materials

422 and the presence of their damages. The use of a hybrid pixel-object

423 classification method integrating the surface elements

classifica-424 tion uncertainty proved to be valuable and adequate in the

classi-425 fication process to resolve some difficulties found along the study.

426 The global classification accuracy of the Building Pathology Map

427 (BPM) was 78%, and therefore further attention should be given

428 to this approach. From a methodological point of view, the hybrid

429 approach also proved to be adequate for the transformation of

sur-430 face elements into BPM with a format well suited to be integrated

431 in a GIS.

432 Acknowledgements

433 The authors thank the University of Coimbra for providing data

434 related to the state of conservation of buildings in the historical

435 city centre of Coimbra.

436 References

437 [1] Aplin P, Atkinson P, Curran P. Per-field classification of land use using the 438 forthcoming very fine spatial resolution satellite sensors: problems and

439 potential solutions. In: Atkinson P, Tate N, editors. Advances in remote

440 sensing and GIS analysis. Chichester: John Wiley and Sons; 1999. p. 219–39.

441 [2] Atkinson PM, Cutler MEJ, Lewis H. Mapping sub-pixel proportional land cover

442 with AVHRR imagery. Int J Rem Sens 1997;18(4):917–35.

443 [3] Blaschke T, Burnett C, Pekkarinen A. Image segmentation methods for

object-444 based analysis and classification. In: Jong SM, van der Meer FD, editors. Remote

445 sensing image analysis; 2004. p. 211–34.

446 [4] Donnay JP, Barnsley M, Longley P. Remote sensing and urban analysis. In:

447 Donnay JP, Barnsley M, Longley P, editors. Remote sensing and urban

448 analysis. New York: Taylor & Francis; 2001. p. 3–18.

449 [5] Eastman JR, Laney RM. Bayesian soft classification for sub-pixel analysis: a

450 critical evaluation. Photogramm Eng Rem Sens 2002;68:1149–54.

451 [6] Foody GM. Approaches for the production and evaluation of fuzzy land cover

452 classifications from remotely-sensed data. Int J Rem Sens 1996;17:1317–40.

453 [7] Foody GM. Sub-pixel methods in remote sensing. In: Jong SM, van der Meer FD,

454 editors. Remote sensing image analysis: including the spatial domain; 2004. p.

455 37–49.

456 [8] Gonçalves L, Caetano M. Classificação das imagens do satélite IKONOS

457 utilizando uma abordagem orientada por objectos. In: Bastos L, Matos J, Lidel

458 L, editors. Acta da III Conferência de Cartografia e Geodesia; 2004. p. 287–98.

459 [9] Gonçalves L, Fonte C, Júlio E, Caetano M. A method to incorporate uncertainty

460 in the classification of remote sensing images. In: Eighth international

461 symposium on spatial accuracy assessment in natural resources and

462 environmental sciences, Shanghai, China; June 2008.

463 [10] Hemmleb M, Weritz F, Maierhofer C. Damage detection on buildings surfaces

464 with multi-spectral techniques. In: Proc XX CIPA international symposium.

465 Torino: Italy; 2005.

466 [11] Ibrahim MA, Arora MK, Ghosh SK. Estimating and accommodating uncertainty

467 through the soft classification of remote sensing data. Int J Rem Sens

468 2005;26:2995–3007.

469 [12] Lerma JL. Automatic feature recognition technique on stone monuments using

470 visible and IR photography. In: Proc int cultural heritage informatics meeting,

471 vol. 2; 2001. p. 255–8.

472 [13] Lerma JL. Automatic plotting of architectural facades with multispectral

473 images. J Surv Eng 2005;131(3):77.

474 [14] Plantier T, Caetano M. Mapas do Coberto Florestal: Abordagem Combinada

475 Pixel/Objecto. In: Bastos L, Matos J, Lidel L, editors. Acta da V Conferência

476 Nacional de Cartografia e Geodesia; 2007. p. 157–66.

477 [15] Ruiz LA, Lerma JL, Gimeno J. Application of computer vision techniques to

478 suport in the restoration of hitorical buildings. International archives of

479 photogrammetry and remote sensing. Comission III, vol. XXXIV, Part 3A+B;

480 2002. p. 4.

481 [16] Stehman SV. Statistical rigor and practical utility in thematic map accuracy

482 assessment. Photogramm Eng Rem Sens 2001;67(6):727–34.

483 [17] Wang F. Improving remote sensing image analysis though fuzzy information

484 representation. Photogramm Eng Rem Sens 1990;56:1163–9.

485 [18] Wang L, Sousa WP, Gong P. Integration of object-based and pixel-based

486 classification for mapping mangroves with IKONOS imagery. Int J Rem Sens

487 2004;20(24):5655–68.

488 [19] Zhang J, Foody GM. Fully-fuzzy supervised classification of sub-urban land

489 cover from remotely sensed imagery: statistical and artificial neural network

490 approaches. Int J Rem Sens 2001;22:615–28.

491 Fig. 14. Transformation of surface elements into building classification units: (a) Extract of the aerial images RGB321; (b) Surface elements pixel classification into ‘‘Dark Ceramic Roof Tile” (CT-D), ‘‘Bright Ceramic Roof Tile” (CT-B) and Roof Shadow (RS); (c) Building units classification into ‘‘Ceramic Tile” (CT) and ‘‘Fibrocement Corrugated Roof Sheet or Steel Roof Panel” (FC+SP). The circles mark a building which presented shadows, and bright and dark ceramic roof tile and were correctly identified with this new classification approach.

Imagem

Fig. 1. The data of the case-study area: (a) aerial images (RGB321); (b) overlay of the vector buildings map and the aerial images.
Fig. 2. Flowchart of the method.
Fig. 13. (a) Extract of the aerial images (RGB321) overlaid with the buildings with ceramic roof tile not deteriorated obtained with the traditional methods

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