I have a DPX file that from identify's output appears to be in Log
colorspace.  When working with the file such as using convert or display if
I don't set any colorspace conversion information and simply pipe the output
to my display with the "x:" output descriptor the image looks correct.  If I
attempt to convert this log encoded DPX into a file though the resultant
file is overly dark.  The only file format that the resultant converted file
looks correct in is JPEG.  I'm trying to get an sRGB encoded file format of
some sort out and to understand why the Log colorspace is so hard to work
with in comparison to the RGB colorspace.

These commands display the dpx properly on my monitor:
convert foo.dpx x:
convert -colorspace log foo.dpx x:
convert -colorspace log foo.dpx foo.jpg && display foo.jpg

These command will produce a file that is too dark when displayed on my
monitor though:
 convert -colorspace log foo.dpx -colorspace srgb foo.png && display foo.png
convert -colorspace log foo.dpx foo.png && display foo.png
convert -colorspace log foo.dpx foo.png && display foo.tif
convert -colorspace log foo.dpx foo.png && display foo.tga
convert -colorspace log foo.dpx foo.png && display foo.ppm

I'm trying to figure out what "display" is "doing" to get the file to
display properly.  This is most likely a lack of knowledge on dealing with
log encoded files but it has me stumped.  Any pointers in dealing with Log
DPX conversion would be helpful.  Thanks!

Here is the identify -verbose for the Log encoded DPX:

  Format: DPX (SMPTE 268M-2003 (DPX 2.0))
  Class: DirectClass
  Geometry: 2048x1168+0+0
  Resolution: 72x72
  Print size: 28.4444x16.2222
  Units: Undefined
  Type: TrueColor
  Base type: TrueColor
  Endianess: MSB
  Colorspace: Log
  Depth: 10-bit
  Channel depth:
    red: 10-bit
    green: 10-bit
    blue: 10-bit
  Channel statistics:
    red:
      min: 0.0078125 (7.62951e-06)
      max: 783.761 (0.765404)
      mean: 114.691 (0.112005)
      standard deviation: 113.953 (0.111284)
      kurtosis: -0.579503
      skewness: 0.659179
    green:
      min: 0.0078125 (7.62951e-06)
      max: 654.637 (0.639304)
      mean: 111.384 (0.108775)
      standard deviation: 110.572 (0.107982)
      kurtosis: -0.335723
      skewness: 0.870409
    blue:
      min: 2.00974 (0.00196266)
      max: 480.47 (0.469216)
      mean: 81.5532 (0.079643)
      standard deviation: 81.4716 (0.0795633)
      kurtosis: 0.281843
      skewness: 1.23579
  Image statistics:
    Overall:
      min: 0.0078125 (7.62951e-06)
      max: 783.761 (0.765404)
      mean: 76.907 (0.0751057)
      standard deviation: 100.501 (0.0981469)
      kurtosis: 0.702316
      skewness: 1.3027
  Rendering intent: Undefined
  Interlace: None
  Background color: log(100.001%,100.001%,100.001%)
  Border color: log(87.4517%,87.4517%,87.4517%)
  Matte color: log(74.1184%,74.1184%,74.1184%)
  Transparent color: log(0.000762951%,0.000762951%,0.000762951%)
  Page geometry: 2048x1168+0+0
  Dispose: Undefined
  Iterations: 0
  Compression: Undefined
  Orientation: TopLeft
  Properties:
    create-date: 2009-11-17T00:53:28-08:00
    document: 15_00_37_19.01296933.dpx
    dpx:file.creator: daVinci
    dpx:file.ditto.key: 1
    dpx:file.filename: 15_00_37_19.01296933.dpx
    dpx:file.timestamp: 2009:10:19:07:08:17:EDT
    dpx:file.version: V1.0
    dpx:film.count: 6223
    dpx:film.frame_position: 119880
    dpx:film.frame_rate: 24
    dpx:film.held_count: 0
    dpx:film.offset: 16
    dpx:film.prefix: 677870
    dpx:film.sequence_extent: 69
    dpx:film.type: 19
    dpx:image.orientation: 0
    dpx:orientation.aspect_ratio: 1x1
    dpx:orientation.border: 0x0+0+0
    dpx:orientation.device: 01500
    dpx:orientation.x_offset: 0
    dpx:orientation.x_size: 2048
    dpx:orientation.y_offset: 0
    dpx:orientation.y_size: 1168
    dpx:television.frame_rate: 24
    dpx:television.time.code: 15:00:38:21
    dpx:television.user.bits: 00:00:00:00
    dpx:user.id: daVinci
    modify-date: 2009-10-19T07:12:08-07:00
    signature:
3ccaed5586434d32396e7abadbb98fffa6221db721c0a9e6b2fdccf83d2ec42e
    software: daVinci
  Profiles:
    Profile-dpx:user.data: 6112 bytes
  Artifacts:
    verbose: true
  Tainted: False
  Filesize: 9.133mb
  Number pixels: 2.281mb
  Version: ImageMagick 6.5.3-10 2009-09-18 Q16 HDRI OpenMP
http://www.imagemagick.org
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