Vertical/Horizontal Reasoning

Vertical Reasoning Example:

Sx (x1o, x2o) (St (t1, t2, t3) media_source)

In vertical reasoning we first extract time slices from media_source and then extract the following spatial information: two open clusters along the x axis. The query can be expressed as: 
SELECT     x
CLUSTER    OPEN x1, OPEN x2
FROM  SELECT     t
      CLUSTER    t1, t2, t3
      FROM       media_source

Horizontal Reasoning Example:

Stype (c1, c2) ((St (t1, t2, t3) (Saudio-object(*) audio_source)) or (St (t1, t2, t3) (Svideo-object(*) video_source)))

In horizontal reasoning we first extract time slices of objects from audio source and the corresponding time slices of objects from video source, combine such information, and then extract two types of objects. The query can be expressed as: 
SELECT     type
CLUSTER  c1, c2
FROM  ((SELECT     t
        CLUSTER    t1, t2, t3
        FROM    SELECT  audio-object
                CLUSTER *
                FROM    audio_source)
        OR
       (SELECT     t
        CLUSTER    t1, t2, t3
        FROM    SELECT  video-object
                CLUSTER * 
                FROM    video_source))
 In horizontal reasoning the fused information must be at the same level of abstraction. In the above example, audio source and video source are different. After objects are extracted, then they can be combined.