Progressive extraction of neural models CAD’16 from high ...paoluzzi.dia.uniroma3.it/web/pao/doc/CAD16_Presentation.pdf · Progressive extraction of neural models from high-resolution

Progressiveextractionofneuralmodelsfromhigh-resolution3Dimagesofbrain

CAD’16 Vancouver, Canada

Contents

CAD'16Vancouver,Canada GiuliaClementi;DaniloSalvati;GiorgioScorzelli;AlbertoPaoluzzi;ValerioPascucci 2

• Motivation• Background• Firstexperiments• Methodformulation• Conclusion

Motivation

Marching-cubes(Siggraph,1987)


Findthe0-surface(oranyiso-surface)ofadiscrete3Dfield

Progressofhigh-resolutionimagingtechnology


WilliamE.Lorensen&HarveyE.Cline,"MarchingCubes:aHighResolution3DSurfaceConstructionAlgorithm",Siggraph,1987



NobelPrizeinChemistry2014awardedtoBetzig,Moerner&Hellfor"developmentofsuper-resolvedfluorescencemicroscopy,"whichbrings"opticalmicroscopyintothenanodimension"



Source:FeiChen,PaulW.Tillberg,EdwardS.Boyden.Expansionmicroscopy.Science,January152015;DOI:10.1126/science.1260088



TheViSUSsoftwareframeworkwasdesignedtoallowtheinteractiveexplorationofmassivescientificmodelsonavarietyofhardware,evengeographicallydistributed

NeuroscientistAlessandraMichelucci(Utah)withViSUSpowerwallandneuronesimage

“Houston:We’vehadaproblem”


Searchfordetailedgeometricmodelsfromhi-resimaging

“Apollo13:Wehaveasolution”


Lookforgeometricmodelsusingextremehi-resimaging

Andcontinuingthetravel...


Background

LAR:noveltopologicalrepresentationscheme


LinearAlgebraicRepresentation:


fromcellularmodelstosparsebinarymatrices

Sparsematrices:COO,CSRandCSCformats


aaaaaa

LARexamples(1/2)


LARexamples(2/2)


Algorithm:matrixof∂2operator


Forasurface(topologicalspace)madeofallquads(2-cells)

Topologicalincidenceoperators


BinarytopologicalrelationsbetweenLARcells

andcorrespondingtopologicaloperatorson∂◦chains

Goal:integratingLARwithViSUS


Firstexperiments

Firstexperiments


STEP1:surfaceextraction(512×512×128)

TestDataSet:B-repofthechainofvoxelsabovealuminancethreshold

B-repmodel,includingnoise

Firstexperiments




modelafternoisefiltering

Firstexperiments




modelafterclosingandopeningmathematicalmorphologyoperators

Surfaceextraction(512×512×128)


interiorviewofaclosedshell(portionofdatachain)


Methodformulation

IDEA:computeafamilyofintrinsiccurves


ForeachVolinablock-partitionofa3-image:

Somethingwronghere?


Algorithm:map_image_2_b-rep


Extractboundarymodelsfrom3D"bricks"ofvoxels

Algorithm:simplify-B-Rep


Extract"intrinsic"curvesandGeneratehomologicallyequivalent&stronglyreducedmodels

Algorithm:example1



Algorithm:example1



Algorithm:example2



Algorithm:example2



Algorithm:example3



Algorithm:example3



Nextsteps


Conclusion

(Partial)resultsobtainedandfurtheradvances


Thanksforyourattention


QUESTIONS?

Documents

Progressive extraction of neural models CAD’16 from high ...paoluzzi.dia.uniroma3.it/web/pao/doc/CAD16_Presentation.pdf · Progressive extraction of neural models from high-resolution