Adam Rybakiewicz


                                     2D and 3D Motion Analysis




Measurement of the first concerns of a basketball player jump. As a known distance I gave a
basketball rim height above the ground.






distance   x

                                                                                                  y




                                                                                             Point1

                                                                                               1050

                                                                                                486




                                                                                             Point2

                                                                                               1050

                                                                                                581











d=

                                                                                               95,0

pixel

                                                                                              66,15

cm



1 pixel

                                                                                           0,696345

cm









calibration






                                                                                                  x

                                                                                                  y




                                                                                             Point1

                                                                                               1014

                                                                                                143




                                                                                             Point2

                                                                                               1015

                                                                                                581





d=

                                                                                              438,0

pixlu

                                                                                                305

cm






















Another measure concerns the player's speed for a distance of 358cm. As a known distance was given
a basketball rim height above the ground.



distance   x

                                                                                                  y










                                                                                             Point1

                                                                                                724

                                                                                                200










                                                                                             Point2

                                                                                                885

                                                                                                200























d=

                                                                                              161,0

pixel

                                                                                             358,43

cm









1 pixel

                                                                                           2,226277

cm





















calibration






time, speed





                                                                                                  x

                                                                                                  y






numer of frames



                                                                                             Point1

                                                                                                919

                                                                                                 55






                                                                                                 14

.1/25

                                                                                               0,38

s

                                                                                             Point2

                                                                                                919

                                                                                                192







                                                                                               0,04


speed


d=

                                                                                              137,0

pixlu

                                                                                                305

cm



v=s/t



                                                                                               9,43





















The third relates to the angle of measurement. Measured the angle of the legs in a standing
position player.





Point 1



Point 3



Point 1


x1

                                                                                                465


x1

                                                                                                500


x1

                                                                                                465

y1

                                                                                                487


y1

                                                                                                583


y1

                                                                                                487

Point 2



Point 2



Point 3


x2

                                                                                                458


x2

                                                                                                458


x2

                                                                                                500

y2

                                                                                                586


y2

                                                                                                586


y2

                                                                                                583









size

                                                                                         99,2471662


size

                                                                                         42,1070065


size

                                                                                          102,18121









                                                                                            cos 2 =

                                                                                              0,141


                                                                                            cos 1 =

                                                                                              0,913


                                                                                            cos 3 =

                                                                                              0,275

                                                                                                2 =

                                                                                              81,87


                                                                                                1 =

                                                                                              24,08


                                                                                                3 =

                                                                                              74,05