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286    6 Structural Pattern Recoenition


                                6.5  Improve  the  set  of  primitives  and relations indicated  in  section 6.2.2  (Figure 6.4) in
                                   order to describe all capital letters by digraphs.

                                6.6  In  section  6.3.2  two  different  PDL  descriptions  were  given  for  the  pattern  "R,
                                   according to the traversing direction of the description. Develop a general rule that will
                                   generate a PDL description based on the description of the inverse traversing direction.

                                6.7  Consider "standard" prototype drawings of the decimal digits.
                                   a) Develop a PDL grammar that will generate the prototypes for each digit class.
                                   b) Perform string matching experiments (use StrMatch.xls) in order to determine which
                                     digit class an unknown PDL sequence can be assigned to. Also set a threshold for the
                                     matching score in order to establish a reject class.

                                6.8  An  FHR  spike  (see  Figure 6.1 1)  has  amplitude that  is  approximately  half  (negative
                                   spike) or double (positive spike) of its onset value.
                                   a) Determine the attributed grammar that will detect FHR spikes.
                                   b) Perform experiments with this grammar using the FHR Signals dataset, adjusting the
                                     appropriate attribute rules.

                                6.9  An  upward  FHR  wave  is  considered  an  acceleration  if  it  lasts  for  more  than  15  s,
                                   reaching an amplitude of at least  15 bpm. Write the appropriate rules for the attributed
                                   grammar describing FHR accelerations  (see rules (6- 14)).
                                6.10 A downward  FHR  wave  is  considered  a  deceleration  if  it  lasts for more than  15 s,
                                   reaching an amplitude of at least  10 bpm.
                                   a) Draw  the  state diagram  describing decelerations,  analogous  to  the  one describing
                                     accelerations shown in Figure 6.12.
                                   b) Write  the  appropriate rules  for  the  attribute vectors of  this grammar,  studying its
                                     behaviour by experimenting with the FHR Signals dataset.

                                6.1 1 Develop the  grammar rules  that  will  recognize  the  P.  Q, R,  S and T waves of ECG
                                   signals (see description in A.4). Use the ECG Signals dataset to carry  out experiments
                                   with these rules.

                                6.12 A human expert has assigned the waves described  by  the following strings of  T=(h, u,
                                   d) to a certain class:

                                    hudh
                                   huudh
                                    huhuhddh
                                    huhudh
                                    huhuuddh

                                    Use the successor method  in  order to determine the state diagram that  will recognize
                                    these strings.

                                6.13 Repeat the tank classification experiments, described in section 6.4.1, using other views
                                    of  tanks  available  in  the  Tanks dataset.  Determine  whether  an  improvement  of
                                    matching  scores can  be  obtained by  using  scale and  angular  normalizations derived
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