создание огромного BufferedImage

Я не могу создать огромный BufferedImage (нехватка памяти не является проблемой). Есть ли у кого-нибудь идеи?

1. new BufferedImage(10000, 1000000, BufferedImage.TYPE_3BYTE_BGR);

Exception in thread "main" java.lang.NegativeArraySizeException
    at java.awt.image.DataBufferByte.<init>(DataBufferByte.java:42)
    at java.awt.image.Raster.createInterleavedRaster(Raster.java:253)
    at java.awt.image.BufferedImage.<init>(BufferedImage.java:368)

2. new BufferedImage(10000, 1000000, BufferedImage. TYPE_INT_RGB);

Exception in thread "main" java.lang.IllegalArgumentException: Dimensions (width=10000 height=1000000) are too large    
at java.awt.image.SampleModel.<init>(SampleModel.java:112)
    at java.awt.image.SinglePixelPackedSampleModel.<init>(SinglePixelPackedSampleModel.java:124)
    at java.awt.image.Raster.createPackedRaster(Raster.java:770)
    at java.awt.image.Raster.createPackedRaster(Raster.java:466)
    at java.awt.image.DirectColorModel.createCompatibleWritableRaster(DirectColorModel.java:1015)
    at java.awt.image.BufferedImage.<init>(BufferedImage.java:315)