@  @  @  @  @  @  @  @  @   Input Samples
  ___/|\___   ___/|\___     \
 /    |    \ /    |    \     |
@  @  @  @  @  @  @  @  @     > Level 1
|\___ | ___/ \___ | ___/|    |
|    \|/         \|/    |   /
@  @  @  @  @  @  @  @  @
|\ | / \ | / \ | / \ | /|   \
| \|/   \|/   \|/   \|/ |    |
@  @  @  @  @  @  @  @  @     > Level 0
| / \ | / \ | / \ | / \ |    |
|/   \|/   \|/   \|/   \|   /
@  @  @  @  @  @  @  @  @   Output Samples



@  @  @  @  @  @  @  @  @   Input Samples
| / \ | / \ | / \ | / \ |   \
|/   \|/   \|/   \|/   \|    |
@  @  @  @  @  @  @  @  @     > Level 0
 \ | / \ | / \ | / \ | /     |
  \|/   \|/   \|/   \|/     /
@  @  @  @  @  @  @  @  @
 \___ | ___/ \___ | ___/    \
     \|/         \|/         |
@  @  @  @  @  @  @  @  @     > Level 1
  ___/|\___   ___/|\___      |
 /    |    \ /    |    \    /
@  @  @  @  @  @  @  @  @   Output Samples



    step        step         step
|<--------->|<--------->|<--------->|
@  @  @  @  @  @  @  @  @  @  @  @  @   Lift input
 \___________\___ | ___/___________/
                 \|/
@  @  @  @  @  @  @  @  @  @  @  @  @   Lift output
            |<--->|
         center_offset