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Stockholders' Equity (Details2) (Series A Convertible Preferred Stock, USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended 1 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Jan. 31, 2013
Dec. 31, 2014
Stockholders' Equity        
Preferred stock par value $ 0.001us-gaap_PreferredStockParOrStatedValuePerShare     $ 0.001us-gaap_PreferredStockParOrStatedValuePerShare
Preferred dividend percentage 5.00%us-gaap_PreferredStockDividendRatePercentage      
Liquidation preference per share $ 1,000us-gaap_PreferredStockLiquidationPreference      
Preferred Stock dividend declared $ 1.0us-gaap_DividendsPreferredStock $ 1.0us-gaap_DividendsPreferredStock    
Preferred stock conversion price per share $ 26.17dgi_PreferredStockConversionPricePerShare      
Shares of common stock into which the preferred stock could be converted 3,100,000dgi_ConvertiblePreferredStockNumberOfSharesOfCommonStock      
Price of common stock to trigger redemption option $ 45.80dgi_RedeemableConvertiblePreferredStockThresholdStockPrice      
Consecutive trading days for threshold stock price to trigger the redemption option 30 days      
Cerberus Agreement | Cerberus Parties | Geo Eye Inc
       
Stockholders' Equity        
Preferred stock, shares issued     80,000us-gaap_StockIssuedDuringPeriodSharesAcquisitions
/ us-gaap_BusinessAcquisitionAxis
= dgi_GeoEyeIncMember
/ us-gaap_RelatedPartyTransactionAxis
= dgi_CerberusAgreementMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= dgi_CerberusMember
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesAPreferredStockMember
 
Citigroup Global Markets, Inc. | Cerberus Parties        
Stockholders' Equity        
Preferred shares transferred 80,000dgi_SharesTransferredByRelatedParty
/ us-gaap_CounterpartyNameAxis
= dgi_CitigroupGlobalMarketsIncMember
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= dgi_CerberusMember
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesAPreferredStockMember