ࡱ>  "[*+#-,(%&!<@es and decompresses Microsoft ADPCM audio data.<@es and decompresses Microsoft ADPCM audio data. AnIMoMat Project: Image Analysis Using Mathematical Morphology Tools Gerald Jean Francis Banon INPE banon@dpi.inpe.br Sergio Donizete Faria INPE faria@dpi.inpe.br Ana Lcia Bezerra Candeias INPE analucia@dpi.inpe.br Joo Ricardo de Freitas Oliveira INPE joao@dpi.inpe.br Eric Menu INPE - Marco Antonio C. Pessoa INPE - Junior Barrera USP jb@ime.usp.br Italo Romani de Oliveira USP romani@ime.usp.br Ronaldo Fumio Hashimoto USP ronaldo@ime.usp.br Guillermo P. Salas USP - Roberto Hirata Junior USP hirata@ime.usp.br Hae Yong Kim USP - Nina Sumiko Tomita USP nina@ime.usp.br Francisco de Assis Zampirolli USP zampirol@ime.usp.br Roberto de Alencar Lotufo UNICAMP lotufo@dca.fee.unicamp.br Tony Taquemasa UNICAMP tony@dca.fee.unicamp.br Eduardo Trettel UNICAMP trettel@dca.fee.unicamp.br Mauro Tatibana UNICAMP tatibana@dca.fee.unicamp.br Gustavo Aratani UNICAMP - Jacques Facon CEFET facon@rla01.pucpr.br Falvio Bortolozzi CEFET fborto@dainf.cefetpr.br Altair Olivo Santin CEFET santin@dainf.cefetpr.br Rubens Martins Vianna Jnior CEFET - Ascendino Flavio Dias e Silva UFPe 13afds@npd.ufpe.br Ulisses de Mendonca Braga Neto UFPe - Virginia Dutra Valenca UFPe - Ailton Cruz dos Santos UFAl ailton@mundau.dcc.ufal.br Josue Barbosa dos Santos UFAl - Nelson Delfino d'vila Mascarenhas UFSCar nelson@power.ufscar.br Marcos Luiz Mucheroni UFSCar dmlm@power.ufscar.br Jander Moreira UFSCar jander@dc.ufscar.br Vinicius F. de Souza UFSCar g120308@power.ufscar.br Fransergio Evaristo Vieira UFSCar franserg@dc.ufscar.br Rodney Americo dos Reis Junior UFSCar - Institutions INPE: Instituto Nacional de Pesquisas Espaciais Diviso de Processamento de Imagens CP 515 12.201-970, So Jos dos Campos, SP USP: Universidade de So Paulo Instituto de Matemtica e Estatstica Rua do mato, 1010 05.508-900, So Paulo, SP UNICAMP: Universidade Estadual de Campinas Faculdade de Engenharia Eltrica e de Computao Departamento de Engenharia de Computao e Automao Industrial CP 6101 12.083-970, Campinas, SP CEFET: Centro Federal de Educao Tecnolgica do Paran CPGEI Av. Sete Setembro, 3165 80.230-901, Curitiba, Pr UFPe: Universidade Federal de Pernambuco Centro de Tecnologia Departamento de Eletrnica e Sistemas Campus Universitrio 50.711-970, Recife, Pe UFAl: Universidade Federal de Alagoas Departamento de Matemtica Aplicada Campus A.C. Simes Cidade Universitria 57.072-970, Macei, Al UFSCar: Universidade Federal de So Carlos Departamento de Computao Via Washington Luis, km 235 CP 676 Cidade Universitria 13.565-905, So Carlos, SP Abstract An overview of the AnIMoMat Project results is presented. The theoretical results are on characterization, representation, decomposition, and automatic design of operators between lattices. The software product, called MMach, consists of several versions of a toolbox for digital image analysis. The tools include the automatic image operator design. The application results cover the areas of Art, Astronomy, Biology, Cartography, Industrial Inspection, Material Science, Medicine, Remote Sensing, and Vision. Introduction Mathematical Morphology is a non-linear approach to image processing and analysis. It was invented in the sixties at Paris School of Mines and is based on the algebraic structure of lattice. In Brazil, the study of Mathematical Morphology began in 1984 at the Image Processing Department of INPE, the National Institute for Space Research. In 1989 a first application to remote sensing image filtering was published in the Photogrammetria journal. From 1992 to 1995 this research area was sponsored by FAPESP through a Thematic Project on Remote Sensing Image Processing. It was at that time that the Brazilian research group began to spread over other academic institutions in So Paulo State. From February 2, 1995 to November 23, 1997, CNPq (Conselho Nacional de Desenvolvimento Cientfico e Tecnolgico) sponsored through ProTeM-CC (Programa Temtico Multi-institucional em Cincia da Computao) the AnIMomat Project (Proc. no 680067/94-9) on Image Analysis using Mathematical Morphology Tools. The AnIMoMat project major objective was the morphological tool design and its application to digital image analysis. In this paper, we give an overview of the work that has been done by 33 participants from seven institutions in four Brazilian states during the three-year project. In the first part, we present a global result evaluation and in the second part, we link the work done with the originally defined tasks. Finally, in the end note, we give an exhaustive list of the pieces of work supported by the project. Global result evaluation During the three-year project, the major activities consisted of theoretical research, computational tool implementation and image analysis applications. These activities resulted in a lot of publications in journals and conference proceedings. Furthermore, nine theses were presented. The list of these publications is given in the Reference section and is summarized in Table 1. Table 1 - Publication distribution over 1995, 1996 and 1997. PRIVATEpublished 1st yearpublished 2nd yearpublished 3rd yearsubmitted 3rd yeartotalMasters Thesis448Ph.D. Thesis11Book11Proceedings213Journal Paper1236Paper in Book246Chapter in Book22Paper in National Conference16512Paper in International Conference4329Communication in Workshop320932Report2215Manual22Web Publication48214TOTAL1449299101As shown in Table 1, one third of the publications are communications in workshops. Actually, CNPq sponsored three workshops, one per year. These workshops gathered the project participants, people from the scientific Brazilian community and invited researchers from abroad. Two of the three proceedings appearing in Table 1 contain the material of the 96 and 97 Workshops. Both of these proceedings have been posted on the Web. Furthermore, among the 101 pieces of work of Table 1, 77 have been deposited in a Digital Library (named URLib) which collection is posted on the Web. The complete material of these publications can be accessed from any of the sites having an URLib local collection by clicking the "Search" word and filling in the form with the name (for example: ) of the repository containing the work of interest. At the time we wrote this paper, some possible sites were:  HYPERLINK http://hermes.dpi.inpe.br:1907 http://hermes.dpi.inpe.br:1907  HYPERLINK http://chips.ime.usp.br:1905 http://chips.ime.usp.br:1905  HYPERLINK http://pajussara.dca.fee.unicamp.br:1905 http://pajussara.dca.fee.unicamp.br:1905 Two important publications are, a Masters Thesis on character recognition [HYPERLINK "reference2.doc" \l "Tomita:1996:PAM"Tomita:1996:PAM] which has been awarded by the Brazilian Computing Society (SBC) and a Ph.D. Thesis [HYPERLINK "reference2.doc" \l "Candeias:1997:AMM"Candeias:1997:AMM] on remote sensing image analysis. Besides, one book dedicated to Mathematical Morphology has been published in Portuguese [ HYPERLINK "reference2.doc" \l "Facon:1996:MMT" Facon:1996:MMT]. The major theoretical contributions have been in the area of characterization of the elementary operators (erosions, dilations, erosions, anti-dilations and anti-erosions) and in the area of automatic operator design. In the first area, three equivalent characterizations have been introduced for translation invariant operators defined on gray-scale images [ HYPERLINK "reference2.doc" \l "Banon:1995:CTI" Banon:1995:CTI, HYPERLINK "reference2.doc" \l "Banon:1995:CTE"Banon:1995:CTE]. In the second area, the operator design was done from pairs of images. Figure 1 gives an example of a pair of images. In Figure 1, the right image is a filtered copy of the left noisy image. By using automatic operator design techniques on this pair of images, we are able to obtain an operator that can act as a filter. Applying this operator to the left image of Figure 2, we get, for example, the right image. A first approach to automatic operator design consists of establishing a statistical optimization model in the operator space [ HYPERLINK "reference2.doc" \l "BarreraDoug::RGW" BarreraDoug::RGW,  HYPERLINK "reference2.doc" \l "BarreraDougHira:1998:ADO" BarreraDougHira:1998:ADO,  HYPERLINK "reference2.doc" \l "TomitaBarr:1996:PAM" TomitaBarr:1996:PAM, HYPERLINK "reference2.doc" \l " BarreraTeraSilvTomi:1996:APM"BarreraTeraSilvTomi:1996:APM,  HYPERLINK "reference2.doc" \l "BarreraTomiCorrTera:1995:APB" BarreraTomiCorrTera:1995:APB,  HYPERLINK "reference2.doc" \l "CorreaBarrTera:1996:SCL" CorreaBarrTera:1996:SCL,  HYPERLINK "reference2.doc" \l "DoughertyBarr:1996:MPL" DoughertyBarr:1996:MPL, HYPERLINK "reference2.doc" \l "DoughertyBarr:1998:NLFB"DoughertyBarr:1998:NLFB, HYPERLINK "reference2.doc" \l "DoughertyBarr:1998:BOF"DoughertyBarr:1998:BOF, HYPERLINK "reference2.doc" \l "DoughertyBarr:1998:NLFG"DoughertyBarr:1998:NLFG, HYPERLINK "reference2.doc" \l "DoughertyBarr::PID"DoughertyBarr::PID]. Another approach consists of using genetic algorithms [ HYPERLINK "reference2.doc" \l "Oliveira:1997:UAG" Oliveira:1997:UAG]. Actually, the filtered image of Figure 2 is the output of an operator obtained by using this second approach. Close to the problem of operator design is the problem of transforming a serial representation of an operator into its parallel representation. Important contributions based on an interval algebra have been made to solve this problem and can be found in [ HYPERLINK "reference2.doc" \l "Salas:1996:OCI" Salas:1996:OCI,  HYPERLINK "reference2.doc" \l "BarreraFerrHash::AGS" BarreraFerrHash::AGS,  HYPERLINK "reference2.doc" \l "BarreraHash::CRW" BarreraHash::CRW,  HYPERLINK "reference2.doc" \l "BarreraSala:1995:SOC" BarreraSala:1995:SOC, HYPERLINK "reference2.doc" \l "BarreraSala:1996:SOC"BarreraSala:1996:SOC, HYPERLINK "reference2.doc" \l "BarreraSalaHash:1996:SOC"BarreraSalaHash:1996:SOC]. With respect to software development, new versions of a toolbox for the design and application of mathematical morphology operators have been implemented. The software, named MMach for Mathematical Machine, was developed by the groups of Professor Barrera from USP and Professor Lotufo from UNICAMP and has been very well accepted by the international scientific community. Nowadays, the MMach has users all over the world, in universities as well as in research centers [ HYPERLINK "reference2.doc" \l "BarreraBanoLotu:1995:MMT" BarreraBanoLotu:1995:MMT,  HYPERLINK "reference2.doc" \l "BarreraBanoLotuHira::MMM" BarreraBanoLotuHira::MMM, HYPERLINK "reference2.doc" \l "LotufoBarrBano:1995:M12"LotufoBarrBano:1995:M12,  HYPERLINK "reference2.doc" \l "LotufoZampHiraBarr::MFM" LotufoZampHiraBarr::MFM,  HYPERLINK "reference2.doc" \l "BarreraHira:1997:FAC" BarreraHira:1997:FAC]. In one of the MMach version [HYPERLINK "reference2.doc" \l "Zampirolli:1997:TMM"Zampirolli:1997:TMM], the elementary operators have been constructed to transform images represented as a set of connected components. Figure 3 illustrates the effect of a dilation. The color image of this figure is the result of the gray-scale image segmentation. The middle image shows a graph for the color image. The last two images are, respectively, the input and output of a dilation based on this graph. One of the most interesting applications using MMach automatic programming has been in the synthesis of an Optical Character Recognition (OCR) prototype that transforms a text image obtained from a scanner into a RTF (Rich Text Format) formatted file [HYPERLINK "reference2.doc" \l "BarreraSalaHash:1996:SOC"BarreraSalaHash:1996:SOC]. This application is a good illustration of image segmentation and pattern recognition. The MMach tools have been used extensively to develop morphological applications to image analysis. Some of the major applications have been compiled and have resulted in an hypertext posted on the Web [ HYPERLINK "reference2.doc" \l "Banon:1997:MMA" Banon:1997:MMA]. In this document we can find application examples in the areas of Art, Astronomy, Biology, Cartography, Industrial Inspection, Material Science, Medicine, Remote Sensing, and Vision. Two indirect results of the AnIMoMat project have been first, the increasing interest for Mathematical Morphology in Brazil, as can be seen in Table 2, and second, the creation of a collection of Web sites dedicated to scientific contributions in the area. Table 2 shows Brazil at the fifth place just after France where Mathematical Morphology began in the sixties. The bibliographic references spread over several Web sites have been automatically compiled to form a so-called Bibliographical Mirror deposited in the URLib repository: . At the present time, almost 900 entries can be found in the Mirror and they can be searched through keywords. Ultimately, contacts have been made between France and Brazil to organize a common bibliographic database in Mathematical Morphology in order to enrich the current database. Table 2 - NedStat statistics for the "HYPERLINK "http://www.cwi.nl/projects/morphology/"Mathematical Morphology Digest" Page-views according to origin. Statistics from December 21, 1996 to September 17, 1997. Total number of page-views: 1735. (Dutch language). 1.VS Onderwijs19211.07 %31.Zuid-Afrika60.35 %2.Nederland18310.55 %32.Tsjechi60.35 %3.VS Commercieel1548.88 %33.Groot Britanni60.35 %4.Frankrijk1126.46 %34.Finland50.29 %5.Brazili1106.34 %35.Hongarije50.29 %6.Hong Kong774.44 %36.Ierland50.29 %7.Duitsland754.32 %37.Taiwan40.23 %8.Australi704.03 %38.Denemarken40.23 %9.Netwerk663.8 %39.India40.23 %10.Japan613.52 %40.Indonesi40.23 %11.Spanje593.4 %41.Verenigde Staten30.17 %12.Verenigd Koninkrijk462.65 %42.Egypte20.12 %13.Russische Federatie341.96 %43.Nieuw Zeeland20.12 %14.Canada331.9 %44.Turkije20.12 %15.Zweden261.5 %45.Oostenrijk20.12 %16.Belgi241.38 %46.Costa Rica10.06 %17.Mexico241.38 %47.Colombia10.06 %18.Zuid-Korea221.27 %48.Maleisi10.06 %19.VS Overheid211.21 %49.Estland10.06 %20.Itali191.1 %50.Argentini10.06 %21.Portugal181.04 %51.Zwitserland10.06 %22.Polen140.81 %52.Puerto Rico10.06 %24.Singapore130.75 %54.Roemeni10.06 %25.Joegoslavi110.63 %55.Voormalige USSR10.06 %26.Griekenland100.58 %56.Thailand10.06 %27.VS Militair100.58 %57.Koeweit10.06 %28.Israel100.58 %58.Venezuela10.06 %29.Noorwegen80.46 %Onbekend1398.01 %30.China80.46 % Task evaluation To achieve the project objective, a set of tasks were carried out. Table 3 shows some of them and their resulting work references. The task number is the one defined at project submission time. Numbers beginning with 1 refer to theoretical task, 2 to implementation task, and 3 to application task. Table 3 - Task versus work reference. TaskReference1.1 Operator Characterization, Representation and DecompositionHYPERLINK "reference2.doc" \l "Banon:1995:CDF"Banon:1995:CDF HYPERLINK "reference2.doc" \l "Banon:1995:CTE"Banon:1995:CTE HYPERLINK "reference2.doc" \l "Banon:1995:CTI"Banon:1995:CTI  HYPERLINK "reference2.doc" \l "Banon:1996:SFO" Banon:1996:SFO  HYPERLINK "reference2.doc" \l "BarreraDoug::RGW" BarreraDoug::RGW  HYPERLINK "reference2.doc" \l "BarreraHash::CRW" BarreraHash::CRW1.2 Automatic Operator DesignHYPERLINK "reference2.doc" \l "BarreraDougHira:1998:ADO"BarreraDougHira:1998:ADO  HYPERLINK "reference2.doc" \l "BarreraDougTomi:1997:APB" BarreraDougTomi:1997:APB  HYPERLINK "reference2.doc" \l "BarreraDoug::RGW" BarreraDoug::RGW  HYPERLINK "reference2.doc" \l "CorreaBarrTera:1996:SCL" CorreaBarrTera:1996:SCL  HYPERLINK "reference2.doc" \l "DoughertyBarr:1996:MPL" DoughertyBarr:1996:MPL HYPERLINK "reference2.doc" \l "DoughertyBarr:1998:BOF"DoughertyBarr:1998:BOF HYPERLINK "reference2.doc" \l "DoughertyBarr:1998:NLFB"DoughertyBarr:1998:NLFB HYPERLINK "reference2.doc" \l "DoughertyBarr:1998:NLFG"DoughertyBarr:1998:NLFG HYPERLINK "reference2.doc" \l "DoughertyBarr::PID"DoughertyBarr::PID  HYPERLINK "reference2.doc" \l "Oliveira:1997:UAG" Oliveira:1997:UAG  HYPERLINK "reference2.doc" \l "TomitaBarr:1996:PAM" TomitaBarr:1996:PAM2.1 MMach 1.2 Implementation HYPERLINK "reference2.doc" \l "BarreraBanoLotu:1995:MMT" BarreraBanoLotu:1995:MMT  HYPERLINK "reference2.doc" \l "LotufoBarrBano:1995:M12" LotufoBarrBano:1995:M122.2 MMach 2.0 Implementation HYPERLINK "reference2.doc" \l "LotufoTret:1996:HSM" LotufoTret:1996:HSM2.3 MMach 2.1 Implementation HYPERLINK "reference2.doc" \l "Hirata:1996:FAC" Hirata:1996:FAC 2.5 Granulometry HYPERLINK "reference2.doc" \l "LotufoTret:1996:III" LotufoTret:1996:III  HYPERLINK "reference2.doc" \l "LotufoTret:1996:ISI" LotufoTret:1996:ISI2.6 Segmentation HYPERLINK "reference2.doc" \l "Hirata:1997:SIM" Hirata:1997:SIM  HYPERLINK "reference2.doc" \l "HirataBarrLotu:1997:TIS" HirataBarrLotu:1997:TIS  HYPERLINK "reference2.doc" \l "Lotufo:1997:MMK" Lotufo:1997:MMK2.7 MMach 2.2 Implementation HYPERLINK "reference2.doc" \l "BarreraBanoLotuHira::MMM" BarreraBanoLotuHira::MMM  HYPERLINK "reference2.doc" \l "BarreraHira:1997:FAC" BarreraHira:1997:FAC HYPERLINK "reference2.doc" \l "BarreraZampLotu:1997:MOC"BarreraZampLotu:1997:MOC  HYPERLINK "reference2.doc" \l "Lotufo:1996:CDM" Lotufo:1996:CDM HYPERLINK "reference2.doc" \l "LotufoZampHiraBarr::MFM"LotufoZampHiraBarr::MFM  HYPERLINK "reference2.doc" \l "SantosSant:1996:CBK" SantosSant:1996:CBK  HYPERLINK "reference2.doc" \l "TaquemasaLotu:1996:ADT" TaquemasaLotu:1996:ADT2.8 Operator Design Implementation HYPERLINK "reference2.doc" \l "Barrera:1997:APM" Barrera:1997:APM  HYPERLINK "reference2.doc" \l "BarreraFerrHash::AGS" BarreraFerrHash::AGS  HYPERLINK "reference2.doc" \l "BarreraHash::CRW" BarreraHash::CRW  HYPERLINK "reference2.doc" \l "BarreraSala:1995:SOC" BarreraSala:1995:SOC HYPERLINK "reference2.doc" \l "BarreraSala:1996:SOC"BarreraSala:1996:SOC HYPERLINK "reference2.doc" \l "BarreraSalaHash:1996:SOC"BarreraSalaHash:1996:SOC HYPERLINK "reference2.doc" \l " BarreraTeraSilvTomi:1996:APM"BarreraTeraSilvTomi:1996:APM  HYPERLINK "reference2.doc" \l "BarreraTomiCorrTera:1995:APB" BarreraTomiCorrTera:1995:APB  HYPERLINK "reference2.doc" \l "Salas:1996:OCI" Salas:1996:OCI3.1 Drainage Segmentation HYPERLINK "reference2.doc" \l "Candeias:1996:DNE" Candeias:1996:DNE 3.2 Cloud Segmentation HYPERLINK "reference2.doc" \l "Candeias:1997:AMM" Candeias:1997:AMM3.3 Control Point Identification HYPERLINK "reference2.doc" \l "BanonFari:1997:MAT" BanonFari:1997:MAT  HYPERLINK "reference2.doc" \l "Faria:1997:AMC" Faria:1997:AMC3.6 Malignant Non-Hodgkins Lymphomas Analysis HYPERLINK "reference2.doc" \l "Weber:1997:APC" Weber:1997:APC  HYPERLINK "reference2.doc" \l "WeberFaco:1997:CMA" WeberFaco:1997:CMA3.11 People Segmentation HYPERLINK "reference2.doc" \l "MoreiraViei:1996:ISP" MoreiraViei:1996:ISP  HYPERLINK "reference2.doc" \l "MoreiraViei:1996:UFM" MoreiraViei:1996:UFM3.12 Character RecognitionHYPERLINK "reference2.doc" \l "BarreraSalaHash:1996:SOC"BarreraSalaHash:1996:SOC HYPERLINK "reference2.doc" \l "BarreraSilvZampTomiHiraTera:1997:OMO"BarreraSilvZampTomiHiraTera:1997:OMO  HYPERLINK "reference2.doc" \l "Tomita:1996:LPC" Tomita:1996:LPC3.13 PCB Inspection HYPERLINK "reference2.doc" \l "Jamur:1996:PSP" Jamur:1996:PSP  HYPERLINK "reference2.doc" \l "JamurFaco:1997:WSP" JamurFaco:1997:WSP  HYPERLINK "reference2.doc" \l "TatibanaLotu:1997:NAP" TatibanaLotu:1997:NAP3.14 Porous Media 3D Analysis HYPERLINK "reference2.doc" \l "Braga_NetoLotu:1995:MMT" Braga_NetoLotu:1995:MMT3.16 Left Ventricle Contour Detection HYPERLINK "reference2.doc" \l "GarconBartFaco:1996:CDF" GarconBartFaco:1996:CDF3.17 Hyphae Segmentation and Measurement HYPERLINK "reference2.doc" \l "MucheroniReis:1995:MCF" MucheroniReis:1995:MCF  HYPERLINK "reference2.doc" \l "MucheroniReis:1996:EMH" MucheroniReis:1996:EMH Next, we make comments about some of the tasks listed in Table 3. Task 2.1 is a MMach implementation for KHOROS 2.0. Tasks 2.2 and 2.3 are, respectively, a MMach extended implementation for KHOROS 1.5 and KHOROS 2.0. These implementations were used for a short course during the 95 Brazilian Workshop at UNICAMP and the 96 Brazilian Workshop at USP. Task 2.6 consisted of a Tutorial on Image Segmentation with KHOROS at the 97 Khoros Conference. Task 2.7 is the last implementation of the MMach: version 2.2 (for KHOROS 2.0). A manual was written and a short course on Mathematical Morphology with KHOROS 2.1 and MMachLib was given during the 97 Brazilian Workshop at INPE. This task ended with the publication of a paper in the Journal of Electronic Imaging. Task 3.1 and 3.2 on drainage and cloud segmentation is part of the Ph.D. Thesis by Ana Lcia Bezerra Candeias. Task 3.13, on PCB inspection, was carried out by UNICAMP and CEFET. The work by UNICAMP made use of connectivity and influence zone concepts. Task 3.14 on porous media made use of 3D watershed and is pioneering in Brazil. The work by Nelson Delfino A. Mascarenhas on Material Science [ HYPERLINK "reference2.doc" \l "AylaMasc:1997:SIC" AylaMasc:1997:SIC,  HYPERLINK "reference2.doc" \l "MascarenhasSouzJorg:1996:AMS" MascarenhasSouzJorg:1996:AMS, HYPERLINK "reference2.doc" \l "MascarenhasSouzJorg:1996:EAT"MascarenhasSouzJorg:1996:EAT] does not appear in Table 3 because Dr. Mascarenhas joined the project after its submission. Conclusion The AnIMoMat project results show that Brazil has made a good investment in the direction of image analysis. They place Brazil among the countries that have contributed the most in the area of Mathematical Morphology and that has made the country a candidate for hosting one of the next International Symposium on Mathematical Morphology (ISMM). Acknowledgements The AnIMoMat participants are very grateful to CNPq-DPE/CTIN who supported their project within the ProTeM-CC (Phase II). References 1. AstolaBarr:1996:EI Astola, J. T.; Barrera, J. eds. Electronic Imaging - Special Section on Non Linear Image Processing. 1996. 2. AylaMasc:1997:SIC Ayala, E. O.; Mascarenhas, N. D. A. Segmentao de Imagens de Cincia e Engenharia de Materiais Usando Tcnicas de Morfologia Matemtica. In: Anais do V Congresso de Iniciao Cientfica da UFSCar, 1997. p. 9. 3. Banon::PAP Banon, G. J. F. Projeto AnIMoMat do ProTeM-CC/CNPq. CP 515, 12 210-970, So Jos dos Campos, SP: INPE/DPI. URLib repository: . 4. Banon:1995:CTI Banon, G. J. F. Characterization of translation invariant elementary operators for gray-level morphology. In: Neural, Morphological, and Stochastic Methods in Image and Signal Processing, 1995. SPIE, P.O. Box 10, Bellingham, WA 98227-0010: SPIE, p. 68-79. URLib repository: . 5. Banon:1995:CTE Banon, G. J. F. Characterization of translation-invariant elementary morphological operators between gray-level images. CP 515, 12201-970 So Jos dos Campos, SP, Brazil: Instituto Nacional de Pesquisas Espaciais - INPE, 1995. (INPE-5616-RPQ/671). URLib repository: . 6. Banon:1995:CDF Banon, G. J. F. Constructive decomposition of fuzzy measures in terms of possibility or necessity measures. In: Proceedings of the Sixth International Fuzzy Systems Association, IFSA, World Congress, 1995. v. 1, p. 217-220. URLib repository: . 7. Banon:1995:LMO Banon, G. J. F. Linear and morphological operator characterization. 1995. Personal Communication. URLib repository: . 8. Banon:1995:NAM Banon, G. J. F. A non-linear approach: the Mathematical Morphology. 1995. Personal Communication. URLib repository: . 9. Banon:1996:BWM Banon, G. J. F. ed. Brazilian Workshop'96 on Mathematical Morphology. CP 515, 12201-970, So Jos dos Campos, SP, Brazil: Instituto Nacional de Pesquisas Espaciais, 1996. URLib repository: . 10. Banon:1996:EMD Banon, G. J. F. Example of morphological decomposition of binary image defined on rectangular grid. 1996. Personal Communication. URLib repository: . 11. Banon:1996:SFO Banon, G. J. F. Set and function operator decomposition. 1996. Personal Communication. URLib repository: . 12. Banon:1996:TTD Banon, G. J. F. Thinning and thickening definitions for gray-level images. 1996. Personal Communication. URLib repository: . 13. Banon:1997:BWM Banon, G. J. F. ed. Brazilian Workshop'97 on Mathematical Morphology. CP 515, CEP 12201-970 So Jos dos Campos, SP, Brazil: Instituto Nacional de Pesquisas Espaciais, 1997. URLib repository: . 14. Banon:1997:MMA Banon, G. J. F. Mathematical morphology application examples. 1997. Personal Communication. URLib repository: . 15. Banon:1997:MDE Banon, G. J. F. Morphological decomposition of extreme gray-level location operators. In: Brazilian Workshop'97 on Mathematical Morphology, 1997. CP 515, CEP 12201-970 So Jos dos Campos, SP, Brazil: Instituto Nacional de Pesquisas Espaciais. URLib repository: . 16. BanonFari:1997:MAT Banon, G. J. F.; Faria, S. D. Morphological approach for template matching. In: SIBGRAPI'97 - X Brazilian Symposium of Computer Graphic and Image Processing, 1997. 10662 Los Vaqueros Circle, P.O. Box 3014, Los Alamitos, CA 90720-1314: IEEE Computer Society, p. 171-178. URLib repository: . 17. Barrera:1997:APM Barrera, J. Automatic programming of MMach's by statistical optimization. In: Brazilian Workshop'97 on Mathematical Morphology, 1997. CP 515, CEP 12201-970 So Jos dos Campos, SP, Brazil: Instituto Nacional de Pesquisas Espaciais. URLib repository: . 18. BarreraBanoLotuHira::MMM Barrera, J.; Banon, G. F.; Lotufo, R. A.; Hirata Junior, R. MMach: a mathematical morphology toolbox for the KHOROS system. Submitted to Journal of Electronic Imaging, URLib repository: . 19. BarreraBanoLotu:1995:MMT Barrera, J.; Banon, G. J. F.; Lotufo, R. A. 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Avenida Sete de Setembro, 3165; 80230-901, Curitiba, Pr; Brasil. Masters Thesis - Centro Federal de Educao Tecnolgica do Paran, 1997. URLib repository: . 97. WeberFaco:1997:CMA Weber, A.; Facon, J. Citology by morphological analysis applied to malignant non-Hodgkins lymphomas. In: Brazilian Workshop'97 on Mathematical Morphology, 1997. CP 515, CEP 12201-970 So Jos dos Campos, SP, Brazil: Instituto Nacional de Pesquisas Espaciais. URLib repository: . 98. Zampirolli:1996:MOB Zampirolli, F. d. A. Morphological operators based on neighborhood graph: An extension of the MMach toolbox. In: Brazilian Workshop'96 on Mathematical Morphology, 1996. CP 515, CEP 12201-970 So Jos dos Campos, SP, Brazil: Instituto Nacional de Pesquisas Espaciais. URLib repository: . 99. Zampirolli:1996:OMB Zampirolli, F. d. A. Operadores morfolgicos baseados em grafos de vizinhanas - Uma extenso da MMach Toolbox. 1996. Personal Communication. URLib repository: . 100. Zampirolli:1997:OMB Zampirolli, F. d. A. Operadores morfolgicos baseados em grafos de vizinhanas - Uma extenso da MMach Toolbox. CP 66.281, CEP 05315-970, So Paulo,SP, Brazil. Masters Thesis - Departamento de Cincia da Computao, Instituto de Matemtica e Estatstica, Unversidade de So Paulo, 1997. URLib repository: . 101. Zampirolli:1997:TMM Zampirolli, F. d. A. Tutorial on mathematical morphology using graphs. In: Brazilian Workshop'97 on Mathematical Morphology, 1997. CP 515, CEP 12201-970 So Jos dos Campos, SP, Brazil: Instituto Nacional de Pesquisas Espaciais. URLib repository: . PAGE  PAGE 1 Figure 1 - A pair of images (source: Oliveira:1997:UAG).  EMBED MSPhotoEd.3   EMBED MSPhotoEd.3   EMBED MSPhotoEd.3   EMBED MSPhotoEd.3  Figure 2 - An input/output pair of a designed filter (source: Oliveira:1997:UAG). Figure 3 - Dilation on graph (source: Zampirolli:1997:TMM). .  EMBED MSPhotoEd.3   EMBED MSPhotoEd.3   EMBED MSPhotoEd.3   EMBED MSPhotoEd.3   EMBED MSPhotoEd.3  Ggx!"@AUb0?bu+F_`u4Fkl ! ? 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