ÚSTAV MATEMATIKY

STAV MATEMATIKYOdbor aplikovan algebry a geometrie 1 profesor, 3 docenti, 5 odborn asistenti, 1 asistenti

Odbor potaov grafiky a geometrie 1 profesor, 1 docent, 5 odbornch asistent

Odbor aplikovan analzy1 profesor, 3 docenti, 7 odbornch asistent

Odbor stochastickch a optimalizanch metod1 profesor, 2 docenti, 3 odborn asistenti, 1 asistentCharakteristika stavu

STAV MATEMATIKYCharakteristika stavuVuka zkladnch kurz matematiky na FSI VUT v Brn, kter obsahuj nsledujc disciplny linern algebra analytick geometrie diferenciln a integrln poet numerick metody konstruktivn geometrie a potaov grafika diferenciln rovnice nekonen ady pravdpodobnost a matematick statistikaSpeciln obor Matematick inenrstvzamen na vchovu teoreticky vzdlanho inenra s bohatmi znalostmi aplikovan matematiky a informatiky

Dal matematick pedmty aplikanho charakterupro jednotliv specializace vmagisterskm i doktorskm studiu na FSI VUT v Brn

Vda avzkumSTAV MATEMATIKYOdbor aplikovan algebry a geometrieAplikovan linern algebra

Diferencialn geometrie a jej aplikace

Koalgebry a jejich aplikace

Digitln topologie

Lokln algebry

Metody komutativn algebry v diferenciln geometrii

Obecn algebraick systmy a jejich aplikace v informatice

Topologick struktury na kategorich

STAV MATEMATIKYOdbor aplikovan algebry a geometrieGrant GAR GA201/00/1466 Spojit a mnoinov-teoretick metody v topologickch a algebraickch strukturch Grant GAR GA201/03/0933 Mnoinov-teoretick a kategoriln metody v topologickch a algebraickch strukturch Vzkumn zmr MMT MSM0021630518 Simulan modelovn mechatronickch soustav

Grant GAR GA201/02/0225 (2002-2004) Prodluovan geometrickch struktur

Grant GAR GA201/05/0523 (2005-2007) Geometrick struktury na fibrovanch varietch

Grant GAR GA201/04/0381 (2004-2006) Methods of Theory of NumbersRealizovan projekty

STAV MATEMATIKYOdbor aplikovan algebry a geometrieSpoluprceMasarykova univerzita Brno Technische Universitt Wien (Rakousko)

Universitt Potsdam (Nmecko)

Universita degli Study dell'Aquila (Itlie)

Dalhousie University in Halifax (Kanada)

Science University of Tokyo (Japonsko)

STAV MATEMATIKYOdbor aplikovan algebry a geometrieUkzkyeenchproblmZnzornn strukturace digitln roviny pomocnov Alexandrovovy topologie uzaven bo- dy jsou zakroukovny. Tato topologie nabz bohat klu Jordano-vch kivek ne bn uvan Khalimskho topologie. Zejmna do-voluje tmto kivkm, aby se lmaly pod hlem /4.

STAV MATEMATIKYOdbor aplikovan algebry a geometrieUkzkyeenchproblmZkladn varian lo-hou diferenciln geo-metrie je hledn mi-nimln cesty na hladk variet vzhledem k da-n metrice. Tento po-jem zce souvis s pa-ralelnm penenm vektor (viz obrzek) a vede a k definici z-kladnho pojmu konexe.

STAV MATEMATIKYOdbor aplikovan analzyVda avzkumMatematick problmy modelovn kompozitnch materil metodou homogenizace

Adaptace metody spolehlivho een (metody nejhorho scne) pro lohy homogenizace s nejistmi daty

Skoroperiodick a nhodn struktury, generovn, analza

Vvoj prostedk funkcionln analzy a teorie prostor funkc pro analzu matematickch model - metoda dvojklov konvergence

Tvorba numerickch metod pro vpoet proudn

Zkoumn kvalitativnch vlastnost een funkcionln-diferencilnch rovnic, diferencilnch a diferennch rovnic se zpodnm

Teorie dynamickch rovnic na asovch klch a jejich aplikace

een vybranch problm optimlnho zen

STAV MATEMATIKYOdbor aplikovan analzyRealizovan projektyGrant GAR GA201/01/0079 (2001-2003) Kvalitativn teorie een diferennch rovnic

Grant GAR GA201/00/0557 (2000-2002) Matematick modelovn nkterch nelinernch problm mechaniky kontinua

Grant GAR GA201/03/0570 (2003-2005) Matematick modelovn nkterch nelinernch problm mechaniky kontinua

Grant GA AVR IAA1163401 (2004-2006) Limitn vlastnosti een diferencilnch rovnic

Vzkumn zmr MMT R MSM0021630518 (2005-dosud) Simulan modelovn mechatronickch soustav

STAV MATEMATIKYOdbor aplikovan analzySpoluprceUniversit Pierre et Marie Curie, Paris (Francie)

Chalmers University of Technology, Gteborg (vdsko)

Technische Universitt Hamburg-Harburg (Nmecko)

Universiteit Gent (Belgie)

STAV MATEMATIKYOdbor aplikovan analzyUkzkyeenchproblmNumerick een odpovdajc dvojslokovmu periodickmu kompozitnmu materilu s estncti kruhovmi vztuhamiPslun numerick homogenizovan een odpovidajc homogennmu materiluHomogenizace (nhrada siln heterogennho materilu fiktivnm materilem homogennm z hlediska stejnch makroskopickch vlastnost) eliptick rovnice druhho du ve 2D s homogenn Dirichletovou okrajovou podmnkou

STAV MATEMATIKYOdbor aplikovan analzyUkzkyeenchproblmTeplotn pole pstu naftovho motoru (metoda konench prvk)

STAV MATEMATIKYOdbor stochastickch a optimalizanch metodVda avzkumStochastick vpotov modely pro uren spolehlivosti systm, statistick modely tvecch proces, zobecnn regresn linern modely a kvalita klasifikaceOdhady diskrtnch rozdlen pravdpodobnosti za vedlejch podmnek, vcerozmrn rozdlen pravdpodobnosti a jejich vlastnostiMarkovovy homogenn a nehomogenn etzce v jakostiFuzzy pravdpodobnost, fuzzy nhodn veliiny a fuzzy rozdlen pravdpodobnosti, fuzzy modely spolehlivosti prvk a systm s vgnmi informacemi, fuzzy shlukovn a predikce asovch ad v energetice a finannictv, fuzzy metrick prostory a jejich aplikace v databzch s vgnmi informacemiSpolehlivostn diagnostika pro podporu zen jadernch energetickch blok Stochastick optimalizace a jej aplikace ve strojrenstv a stavebnictvOptimalizan algoritmy a aplikace v technologii, slvrenstv a vodohospodstvAplikace statistickch metod v metrologii, zen vrobnch proces, materilovm inenrstv a medicn

STAV MATEMATIKYOdbor stochastickch a optimalizanch metodVzkumn centrum MMT R 1M06047 Centrum pro jakost a spolehlivost vroby (CQR)Vzkumn zmr MMT R CEZ: J22/98: 261100009 Netradin metody studia komplexnch a neuritch systm Grant GAR GA103/05/0292 Optimalizace navrhovn progresivnch betonovch konstrukcSttn projekt FF-P114 Vzkum a vvoj pokroilho pravdpodobnostnho modelu s akumulovanou znalostn bz zkuenho opertora vprmyslovm provozu se zamenm na provoz jadernch elektrren VVER Grant IGA MZ R ND 7134-3 Monosti vznamnho ovlivnn nitrobinho tlaku po operacch aborlnho gastrointestinlnho traktu pomoc enterln vivy aplikovan trojluminln sondouGrantov projekt GAR GA101/00/0170 Penositelnost charakteristik lomov houevnatosti zhlediska hodnocen integrity komponent sdefektyProjekt FRV 1746/2002 Nauka o materilu - interaktivn vukov textSpoluprce na mezinrodnch projektech COST-APOMAT OC526, EUREKA COOP 2716, EUREKA E! 2914 FGM, NAZV EP 096000 6151Realizovan projekty

SpoluprceUniversity of Malta (stochastick, dynamick a celoseln optimalizace)Molde University College (optimalizan algoritmy)Vzkumn stav jadernch elektrren R Dukovany (vvoj podprnho diagnostickho systmu stav jadernho bloku)stav betonovch a zdnch konstrukc FAST VUT (optimalizace a spolehlivost progresivnch betonovch konstrukc)Lkask fakulta Masarykovy univerzity Brno (statistick modelovn nitrobinho tlaku po operacch)Cardiochronomics Brno (statistick analza v kardiologii a chronobiologii ve spoluprci s University of Minnesota)stav fyziky materil AV R (stochastick modelovn charakteristik lomov houevnatosti)SC&C Partner (statistick metody v jakosti)Poradensk innost v aplikacch matematick statistiky pro firmy: Alcan Dn, Alstom Power, Barum Continental, Celestica Czech Republic, Invensys Appliance Controls, LG Philips Displays Czech, METAL st n.L., Schneider Electric, Siemens, Kostal aj.STAV MATEMATIKYOdbor stochastickch a optimalizanch metod

VdaavzkumSTAV MATEMATIKYOdbor stochastickch a optimalizanch metodOdhady diskrtnch rozdlen pravdpodobnosti pomoc Hellingerovy a Shannonovy kvazinormy za vedlejch momentovch podmnek z relnch statistickch dat

Graf5

58.57135547.08374066.81406616.94048575.1242524

128.57135547.50590917.47184057.361397611.5671081

78.57135547.96671158.11412357.97160957.3006744

58.57135548.47120928.71425528.68987165.6411748

98.57135549.02567579.24309729.37946637.7375634

148.57135549.63618579.67094719.835112214.8175968

88.571355410.31056829.97167059.82205717.8116302

Orig.

K=0

K=1

K=2

K=3

K=4

Center of class

Frequencies

Hellinger quasi-norm estimate

List1

xffxfx^2fx^3fx^4Hellinger

1555558.57135548.57135548.57135548.57135548.57135548.57135548.5713554

2122448961927.08374067.50590917.96671158.47120929.02567579.636185710.3105682

3721631895676.81406617.47184058.11412358.71425529.24309729.67094719.9716705

45208032012806.94048577.36139767.97160958.68987169.37946639.83511229.8220571

5945225112556255.124252411.56710817.30067445.64117487.737563414.81759687.8116302

61484504302418144

7856392274419208Shannon

25513177503450218.57143088.5714298.5714298.5714298.5714298.57142668.5714266

n607.04602927.50207657.98751338.50436819.05477069.640743810.2644986

M016.80390397.48147088.12491328.71494219.23242789.65988799.9824543

M14.256.94412377.35294987.97261298.6975769.38024079.82684769.8256493

M221.955.102802111.63391247.28840655.45120798.034781614.63681237.8520771

M3125.05

M4750.35Pearson

8.57142868.57143018.57142838.57142738.57142738.57142838.5714301

7.18605247.52494017.91678938.37700818.92811159.604580810.4625178

6.84789077.44340458.0744798.70663519.28081549.71618139.930594

6.9316677.38130597.97081268.67034999.376019.8571489.8127065

5.176375311.39524887.37812686.00749917.110624515.20925067.7228748

List1

000000

000000

000000

000000

000000

000000

000000

Orig.

K=0

K=1

K=2

K=3

K=4

Stedy td

etnosti

Odhad pomoc Hellingerovy kvazinormy

List2

000000

000000

000000

000000

000000

000000

000000

Orig.

K=0

K=1

K=2

K=3

K=4

Stedy td

etnosti

Odhad pomoc Shannonovy kvazinormy

List3

000000

000000

000000

000000

000000

000000

000000

Orig.

K=0

K=1

K=2

K=3

K=4

Stedy td

etnosti

Odhad pomoc Pearsonovy kvazinormy

Graf6

58.57143087.04602926.80390396.94412375.1028021

128.5714297.50207657.48147087.352949811.6339124

78.5714297.98751338.12491327.97261297.2884065

58.5714298.50436818.71494218.6975765.4512079

98.5714299.05477069.23242789.38024078.0347816

148.57142669.64074389.65988799.826847614.6368123

88.571426610.26449869.98245439.82564937.8520771

Orig.

K=0

K=1

K=2

K=3

K=4

Center of class

Frequencies

Shannon quasi-norm estimate

List1

xffxfx^2fx^3fx^4Hellinger

1555558.57135548.57135548.57135548.57135548.57135548.57135548.5713554

2122448961927.08374067.50590917.96671158.47120929.02567579.636185710.3105682

3721631895676.81406617.47184058.11412358.71425529.24309729.67094719.9716705

45208032012806.94048577.36139767.97160958.68987169.37946639.83511229.8220571

5945225112556255.124252411.56710817.30067445.64117487.737563414.81759687.8116302

61484504302418144

7856392274419208Shannon

25513177503450218.57143088.5714298.5714298.5714298.5714298.57142668.5714266

n607.04602927.50207657.98751338.50436819.05477069.640743810.2644986

M016.80390397.48147088.12491328.71494219.23242789.65988799.9824543

M14.256.94412377.35294987.97261298.6975769.38024079.82684769.8256493

M221.955.102802111.63391247.28840655.45120798.034781614.63681237.8520771

M3125.05

M4750.35Pearson

8.57142868.57143018.57142838.57142738.57142738.57142838.5714301

7.18605247.52494017.91678938.37700818.92811159.604580810.4625178

6.84789077.44340458.0744798.70663519.28081549.71618139.930594

6.9316677.38130597.97081268.67034999.376019.8571489.8127065

5.176375311.39524887.37812686.00749917.110624515.20925067.7228748

List1

000000

000000

000000

000000

000000

000000

000000

Orig.

K=0

K=1

K=2

K=3

K=4

Stedy td

etnosti

Odhad pomoc Hellingerovy kvazinormy

List2

000000

000000

000000

000000

000000

000000

000000

Orig.

K=0

K=1

K=2

K=3

K=4

Stedy td

etnosti

Odhad pomoc Shannonovy kvazinormy

List3

000000

000000

000000

000000

000000

000000

000000

Orig.

K=0

K=1

K=2

K=3

K=4

Stedy td

etnosti

Odhad pomoc Pearsonovy kvazinormy

VdaavzkumSTAV MATEMATIKYOdbor stochastickch a optimalizanch metodSoftware pro generovn fuzzy spolehlivostnch charakteristik fuzzy Weibullova rozdlen typu B

VdaavzkumSTAV MATEMATIKYOdbor stochastickch a optimalizanch metodNehierarchickshlukovn fuzzy objektHierarchickshlukovn fuzzy objekt

VdaavzkumSTAV MATEMATIKYOdbor stochastickch a optimalizanch metodPredikce odbru elektrick energie v zvislosti na teplot pomoc fuzzy modelu asov ady

VdaavzkumSTAV MATEMATIKYOdbor stochastickch a optimalizanch metodPedpov pomoc fuzzy mnoin spoteby tepla msta Olomouce v porovnn sdalmi pedpovmi jinmi metodami: neuronov st a statistick metody Aproximace sil testu pro stanoven dostatenho rozsahu vbru ve zkuebnm plnu [n, U, n] pro uren spolehlivosti objekt

Graf4

128.12

129.08

123.59

121.37

122.6

122.29

128.53

123.45

90.53

87.9787.9787.9787.97

88.288.5681.92531687.7392

91.1390.5189.0781489.7976

93.9188.1187.40969894.7308

102.2610574.54853198.0981

105.47107.5396.420441102.2578

133.75130.63121.539886124.152

170.19166.2145.172653146.7131

158.45165.78141.982819169.7009

142.44161.66121.389229175.7557

144163.29136.422531146.4262

140.14152.09116.861061132.9312

141.92148.06101.098328146.3446

131.28152.73113.843788156.4428

125.07143.2593.267738138.8603

118.5139.63107.34565124.2249

127.66140.59121.001831119.6387

119.15135.1120.81736140.0189

119.74132.29120.911224144.2506

118.83134.1120.946861114.9181

126.8133.8129.03952107.4569

131.89140.04142.275925132.0831

126.74134.96110.971436136.6619

98.96102.0479.474037108.3589

91.9299.4881.63832990.7205

93.42100.0776.58632796.9633

92.8102.0176.79862295.7621

102.7799.6276.9620996.3117

102.49116.582.05970897.2558

110.46119.03102.568527102.2367

136.24142.13106.470749120.1918

170.66177.71123.038322147.3759

161.77177.29123.859985167.5111

165.01173.16113.696571167.9889

154.41174.79120.709587151.9584

154.01163.59111.740341145.327

154.01159.56105.553642165.5843

154.18164.23105.481438167.688

144.07154.75101.638535151.1335

120.34151.1194.298058137.3295

134.79152.09101.812973127.4965

131.28146.699.820091134.0559

124.03144.3892.586029134.6813

125.43145.61101.30291118.6196

132.86145.29101.358604119.3343

133.45151.53120.914368143.7085

126.25146.4592.149323144.2999

101.26113.5381.563187123.9679

100.06110.9776.62545112.0267

Real

Pred.BJ

Pred.NN

Pred FL

List1

RealPred.BJPred NNPred FL0Pred FL1Pred FL2MAPE BJMAPE NNMAPE FL0MAPE FL1MAPE FL2TlakTeplotaVitrCorel-AMCorel-ANCorel-AO

480.0900.1690.1940.1400.0780.743.703.000.00124-0.02644-0.11239

470.0800.1170.2120.1420.0800.713.703.00

510.743.701.90

510.763.903.30

540.724.103.40

860.764.002.90

900.754.203.30

830.774.103.70

770.743.904.70

800.744.104.50

890.714.503.70

750.744.805.80

810.735.304.90

740.766.005.50

690.737.105.10

770.778.305.30

710.749.206.90

770.737.208.80

880.725.809.00

860.775.307.60

860.765.508.30

840.765.607.40

620.745.606.10

660.725.009.30

620.725.308.00

640.744.703.90

620.764.803.70

630.753.902.60

690.704.602.00

1000.804.201.80

1460.734.002.80

1500.753.903.70

1370.783.801.10

1240.774.701.70

1110.776.305.50

1210.694.204.40

1040.798.104.60

950.778.305.20

850.747.003.10

890.726.602.60

850.746.701.80

880.755.702.60

840.765.203.40

910.723.502.70

890.732.202.90

840.741.501.70

840.741.001.80

640.761.301.90

670.781.402.30

670.761.602.50

670.761.902.50

690.752.303.20

820.772.203.00

840.761.400.90

1450.782.201.00

1520.762.301.70

1350.733.001.30

1330.774.601.60

1240.795.104.20

1040.726.103.80

1120.756.804.30

1080.746.904.40

1010.736.903.70

1010.796.901.60

910.746.903.40

910.746.702.80

920.776.503.70

880.776.501.50

970.776.602.10

940.746.201.30

820.776.403.50

620.776.203.60

680.766.103.40

600.765.904.20

690.755.804.80

680.745.503.30

790.755.502.30

1110.795.101.60

1460.735.102.90

1440.774.801.20

1310.765.102.00

1190.775.301.70

1160.765.501.90

1120.765.901.80

1190.726.201.30

1090.746.200.80

900.736.400.00

920.736.400.80

860.746.201.40

840.725.901.60

860.705.600.90

890.715.401.30

850.715.301.20

750.725.101.40

740.735.202.50

700.725.203.00

680.764.802.50

640.754.600.90

620.744.301.00

670.724.402.30

790.714.902.70

1120.754.602.70

1410.774.702.60

1430.784.802.20

1350.744.903.00

1300.746.204.30

1710.684.705.70

1060.845.306.60

1190.736.206.00

1060.797.105.10

1020.786.404.20

940.746.003.50

950.795.303.70

960.734.503.40

950.743.603.00

990.742.905.00

930.752.604.10

900.732.003.10

710.720.703.10

690.741.402.40

670.710.802.50

680.720.302.90

670.730.102.90

840.69-0.402.10

810.71-0.501.80

1060.800.003.00

1410.720.402.90

1520.750.904.90

1360.751.205.00

1300.751.904.40

1270.753.603.10

1030.745.904.60

1060.807.305.50

900.758.404.80

840.738.905.20

810.748.004.00

810.747.204.10

830.727.503.40

920.737.604.60

870.746.302.40

860.735.803.60

760.756.704.40

830.765.704.90

620.794.403.00

590.784.504.20

570.762.702.20

590.742.802.40

630.773.002.50

670.762.202.30

780.752.703.20

1000.802.203.60

920.732.003.60

940.741.501.60

840.754.303.10

770.725.403.10

850.746.303.10

680.726.504.50

800.757.004.40

800.787.203.90

640.716.503.50

800.724.701.80

830.733.301.30

820.752.700.70

950.742.601.40

880.751.800.60

900.750.700.00

690.780.300.00

650.77-0.400.80

640.74-0.500.50

640.74-0.901.00

610.74-1.300.80

650.76-1.600.00

700.74-2.200.80

760.75-2.000.00

1110.73-2.101.10

1070.73-2.300.00

980.74-1.200.70

970.73-0.300.00

930.720.200.70

840.731.601.10

830.733.801.70

840.714.801.20

790.734.700.90

850.713.901.40

920.712.101.20

930.701.001.40

920.711.300.90

880.720.501.10

980.710.100.00

900.72-0.301.00

740.73-0.301.50

770.75-0.400.00

780.76-0.401.20

750.73-0.401.40

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Spotr.Spotr.Spotr.Spotr.Spotr.Spotr.MAPE BJMAPE NNMAPE FL0MAPE FL1MAPE FL2TlakTeplotaVitr

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Pred.BJ

Pred.NN

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Adaptivn filtry pro vizualizaci obraz s vysokm dynamickm rozsahem

Numerick metody analzy slunenho spektra, obraz slunen korny (ve spoluprci s Hvzdrnou v pici a Slovenskou akademi vd a hvzdrnou v Ondejov)

Metody 3D rekonstrukce obraz z klasickho, konfoklnho a tunelovacho mikroskopu (ve spoluprci s B LF UK v Plzni)

Rychl algoritmy potaov grafiky

Metody registrace obraz zaloen na fzov korelaci a jejich aplikace

Aplikace digitln topologie a fraktln geometrie v analze obraz

Numerick metody analzy obraz stnice lidskho oka

Technick aplikace konstruktivn geometrie, vcehodnotov logiky pi zen systmVda avzkumSTAV MATEMATIKYOdbor potaov grafiky a geometrie

STAV MATEMATIKYOdbor potaov grafiky a geometrieProjekt FRV 374/2002 Multimediln podpora vuky pedmtu Struktura a skladba potravin

Projekt FRV 855/2005 Interaktivn uebn text pro vuku pedmtu Struktura a skladba potravin

Projekt FRV 3323/2006 Elektronick podpora pedmtu Matematick vpoty pomoc MapleRealizovan projekty

SpoluprceSTAV MATEMATIKYOdbor potaov grafiky a geometrieVeterinrn a farmaceutick univerzita Brno (numerick metody analzy obraz histologick vyeten potravinovch vrobk)Lkask fakulta Masarykovy univerzity Brno (numerick metody analzy snmk stnice lidskho oka)stav fyziky FAST VUT (fraktln analza lomovch ploch stavebnch materil)Hvzdrna v pici (numerick metody analzy slunen korny)Astronomick stav SAV Tatransk Lomnica (numerick metody analzy obraz) Astronomick stav SAV, Ondejov (numerick metody analzy slunenho spektra)Biologick stav LF UK, Plze (numerick metody konfokln mikroskopie)

UkzkyeenchproblmSTAV MATEMATIKYOdbor potaov grafiky a geometrieSlunen korna pi plnm zatmn Slunce 29. 3. 2006 rekonstruovan na zklad 51 snmk a vizualizovan uitm nov vyvinutch adaptivnch filtr. Obraz vrazn pekonv souasn monosti kosmickch sond

UkzkyeenchproblmSTAV MATEMATIKYOdbor potaov grafiky a geometrieDopplergram sti slunen chromosfry zskan analzou srie snmk absorpn ry H-alpha.

UkzkyeenchproblmSTAV MATEMATIKYOdbor potaov grafiky a geometrieNov pesn numerick metoda na stanoven absorpce svtla, vyzenho slunen fotosfrou, v e vodku H-alpha

UkzkyeenchproblmSTAV MATEMATIKYOdbor potaov grafiky a geometrieNov numerick metody analzy snmk stnice lidskho oka

UkzkyeenchproblmSTAV MATEMATIKYOdbor potaov grafiky a geometrieNumerick metody identifikace a analzy kostnch lomk v masnch potravinovch produktech

UkzkyeenchproblmSTAV MATEMATIKYOdbor potaov grafiky a geometriesoftwarov rekonstrukcefotografie skutenho objektuVvoj numerickch metod pro zpracovn optickch ez pozench zazenm s zkm psmem ostrosti.Softwarovmi nstroji zaloenmi na nejmodernjch numerickch metodch analzy obrazu lze sestrojit nejen zaosten snmek, ale i prostorov objekt, kter je od skutenho tm k nerozeznn.

UkzkyeenchproblmSTAV MATEMATIKYOdbor potaov grafiky a geometrieNejnovj metody zpracovn prhlednch optickch ez z konfoklnho mikroskopu umouj nejen podrobn studium morfologickch detail bunk, ale i virtuln cestu jejich vnitkem

UkzkyeenchproblmSTAV MATEMATIKYOdbor potaov grafiky a geometrieAlgoritmy zaloen na teorii mry jsou schopny stle pesnji mit fraktln dimenzi mikroskopickch vzork

STAV MATEMATIKYDkujeme za pozornost

Documents

ÚSTAV MATEMATIKY