Exemplo n.º 1
0
    def get_perturbed_trajectory_and_parms(self, strk_idx):
        #registration points...
        mdl = pytk.TrajKinMdl()
        mdl.x0 = self.char_mdl[strk_idx]['start_pnt'][0]
        mdl.y0 = self.char_mdl[strk_idx]['start_pnt'][1]
        mdl.mdl_parms_ = self.char_mdl[strk_idx]['opt_parms']
        vel_profile = self.char_mdl[strk_idx]['vel_profile']
        reg_pnts_array = self.char_mdl[strk_idx]['reg_pnts_array']
        t_array = np.arange(len(vel_profile))*self.dt

        #opt
        #get noise
        num_parm_per_comp = 4
        noise_ratio_array = []

        for slider_lst in self.parms_sliders[strk_idx]:
            for slider in slider_lst:
                noise_ratio_array.append(float((slider.value()-50))/100)

        noise_ratio_array = np.reshape(noise_ratio_array, (-1, num_parm_per_comp))
        opt_parms = np.array(self.char_mdl[strk_idx]['opt_parms'])
        for row in range(opt_parms.shape[0]):
            opt_parms[row][0] += noise_ratio_array[row][0] * np.abs(opt_parms[row][0]) * 0.8
            opt_parms[row][2] += noise_ratio_array[row][1] * np.abs(opt_parms[row][2]) * 0.5
            opt_parms[row][3] += noise_ratio_array[row][2] * np.abs(opt_parms[row][3]) * 0.5
            #theta_s & theta_e: noise is applied to delta_theta
            opt_theta_s = opt_parms[row][4]
            opt_theta_e = opt_parms[row][5]
            opt_parms[row][4] = (opt_theta_s + opt_theta_e)/2 - (opt_theta_e-opt_theta_s) * (1 + noise_ratio_array[row][3]*2) / 2
            opt_parms[row][5] = (opt_theta_s + opt_theta_e)/2 + (opt_theta_e-opt_theta_s) * (1 + noise_ratio_array[row][3]*2) / 2
        traj_opt, vel_vec_opt = mdl.eval(t_array, opt_parms)
        theta_opt = utils.get_continuous_ang(traj_opt)
        return mdl, t_array, opt_parms, traj_opt, vel_vec_opt, theta_opt
Exemplo n.º 2
0
    def plot_data(self):
        #plot data
        #evaluate base
        curr_data = [ mdl['stroke'] for mdl in self.char_mdl ]

        bFirstStroke = True
        last_stroke_end_t = 0.0    
        if 'vel_profile' not in self.char_mdl[0]:
            print 'no velocity profile stored'
            return
        #currently, only consider one stroke
        for strk_idx, stroke in enumerate(curr_data):
            #vel profile
            vel_profile = self.char_mdl[strk_idx]['vel_profile']

            #t_array
            t_array = np.linspace(0, 1.0, len(stroke)) + last_stroke_end_t

            last_stroke_end_t = t_array[-1]
            #vel vec & theta
            vel_vec = np.diff(stroke, axis=0) / (t_array[1] - t_array[0])
            #theta = np.arctan2(vel_vec[:, 1], vel_vec[:, 0])

            theta = utils.get_continuous_ang(stroke)

            #plot
            #only data
            #char profile
            self.ax_char_prf.plot(stroke[:, 0], -stroke[:, 1], 'b', linewidth=4.0)
            self.ax_char_prf.set_title('Character Profile', fontsize=8)
            self.ax_char_prf.set_xlim([-1.5, 1.5])
            self.ax_char_prf.set_ylim([-1.5, 1.5])

            self.ax_char_prf.set_xticks([])
            self.ax_char_prf.set_yticks([])

            #vel_x & vel_y
            self.ax_xvel.plot(t_array[0:-1], vel_vec[:, 0], 'b', linewidth=4.0)
            self.ax_xvel.set_title('X Velocity', fontsize=8)
            self.ax_xvel.set_xlabel('Time (s)', fontsize=8)
            self.ax_xvel.set_ylabel('Velocity (Unit/s)', fontsize=8)
            self.ax_yvel.plot(t_array[0:-1], vel_vec[:, 1], 'b', linewidth=4.0)
            self.ax_yvel.set_title('Y Velocity', fontsize=8)
            self.ax_yvel.set_xlabel('Time (s)', fontsize=8)
            self.ax_yvel.set_ylabel('Velocity (Unit/s)', fontsize=8)
            #vel profile
            self.ax_vel_prf.plot(t_array, vel_profile, 'b', linewidth=4.0)
            self.ax_vel_prf.set_title('Velocity Maganitude', fontsize=8)
            self.ax_vel_prf.set_xlabel('Time (s)', fontsize=8)
            self.ax_vel_prf.set_ylabel('Maganitude (Unit/s)', fontsize=8)
            #ang profile
            self.ax_ang_prf.plot(t_array[0:-1], theta, 'b', linewidth=4.0)
            self.ax_ang_prf.set_title('Angular Position', fontsize=8)
            self.ax_ang_prf.set_xlabel('Time (s)', fontsize=8)
            self.ax_ang_prf.set_ylabel('Angular Position (rad)', fontsize=8)
            if bFirstStroke:
                self.ax_char_prf.hold(True)
                self.ax_xvel.hold(True)
                self.ax_yvel.hold(True)
                self.ax_vel_prf.hold(True)
                self.ax_ang_prf.hold(True)

                bFirstStroke = False

        colors = ['r', 'y', 'k', 'g', 'w']
        last_stroke_end_t = 0.0   
        for curr_idx in range(len(self.char_mdl)):
            #hold current drawings to add new curves
            #now only the first stroke
            #registration points...
            vel_profile = self.char_mdl[curr_idx]['vel_profile']
            t_array = np.linspace(0, 1.0, len(curr_data[curr_idx]))
            if 'start_pnt' in self.char_mdl[curr_idx] and 'opt_parms' in self.char_mdl[curr_idx]:
                x0 = self.char_mdl[curr_idx]['start_pnt'][0]
                y0 = self.char_mdl[curr_idx]['start_pnt'][1]
                opt_parms = np.array(self.char_mdl[curr_idx]['opt_parms'])
 
                traj_opt, vel_vec_opt, opt_parms = self.traj_eval_helper(curr_idx, t_array, opt_parms, x0, y0)
                theta_opt = utils.get_continuous_ang(traj_opt)
                self.ax_char_prf.plot(traj_opt[:, 0], -traj_opt[:, 1], 'r', linewidth=4.0)
                self.ax_vel_prf.plot(t_array[:]+last_stroke_end_t, np.sum(vel_vec_opt**2, axis=1)**(1./2), 'r', linewidth=4.0)

                self.ax_xvel.plot(t_array[:]+last_stroke_end_t, vel_vec_opt[:, 0], 'r', linewidth=4.0)
                self.ax_yvel.plot(t_array[:]+last_stroke_end_t, vel_vec_opt[:, 1], 'r', linewidth=4.0)
                self.ax_ang_prf.plot(t_array[1:]+last_stroke_end_t, theta_opt, 'r', linewidth=4.0)

                #for each component
                for parm in opt_parms:
                    comp_traj, comp_vel_vec = pytkrxz.rxzero_traj_eval([parm], t_array, x0, y0)
                    self.ax_vel_prf.plot(t_array[:]+last_stroke_end_t, np.sum(comp_vel_vec**2, axis=1)**(1./2), 'g', linewidth=2.5)
                    self.ax_xvel.plot(t_array[:]+last_stroke_end_t, comp_vel_vec[:, 0], 'g', linewidth=2.5)
                    self.ax_yvel.plot(t_array[:]+last_stroke_end_t, comp_vel_vec[:, 1], 'g', linewidth=2.5)
                last_stroke_end_t += t_array[-1]
            else:
                last_stroke_end_t += t_array[-1]

        self.ax_char_prf.hold(False)
        self.ax_xvel.hold(False)
        self.ax_yvel.hold(False)
        self.ax_vel_prf.hold(False)
        self.ax_ang_prf.hold(False)
        self.canvas.draw()
        return
Exemplo n.º 3
0
    def plot_data(self):
        #plot data
        curr_data = self.get_current_data()
        bFirstStroke = True
        last_stroke_end_t = 0.0
        #currently, only consider one stroke
        for stroke in curr_data:
            #vel profile
            vel_profile = utils.get_vel_profile(stroke)/self.dt
            #t_array
            t_array = np.arange(len(vel_profile))*self.dt + last_stroke_end_t
            last_stroke_end_t = t_array[-1]
            #vel vec & theta
            vel_vec = np.diff(stroke, axis=0)/self.dt
            #theta = np.arctan2(vel_vec[:, 1], vel_vec[:, 0])

            theta = utils.get_continuous_ang(stroke)

            #plot
            #only data
            #char profile
            self.ax_char_prf.plot(stroke[:, 0], -stroke[:, 1], 'b')
            self.ax_char_prf.set_title('Character Profile', fontsize=8)
            self.ax_char_prf.set_xticks([])
            self.ax_char_prf.set_yticks([])
            #vel_x & vel_y
            self.ax_xvel.plot(t_array, vel_vec[:, 0], 'b')
            self.ax_xvel.set_title('X Velocity', fontsize=8)
            self.ax_xvel.set_xlabel('Time (s)', fontsize=8)
            self.ax_xvel.set_ylabel('Velocity (Unit/s)', fontsize=8)
            self.ax_yvel.plot(t_array, vel_vec[:, 1], 'b')
            self.ax_yvel.set_title('Y Velocity', fontsize=8)
            self.ax_yvel.set_xlabel('Time (s)', fontsize=8)
            self.ax_yvel.set_ylabel('Velocity (Unit/s)', fontsize=8)
            #vel profile
            self.ax_vel_prf.plot(t_array, vel_profile, 'b')
            self.ax_vel_prf.set_title('Velocity Maganitude', fontsize=8)
            self.ax_vel_prf.set_xlabel('Time (s)', fontsize=8)
            self.ax_vel_prf.set_ylabel('Maganitude (Unit/s)', fontsize=8)
            #ang profile
            self.ax_ang_prf.plot(t_array, theta, 'b')
            self.ax_ang_prf.set_title('Angular Position', fontsize=8)
            self.ax_ang_prf.set_xlabel('Time (s)', fontsize=8)
            self.ax_ang_prf.set_ylabel('Angular Position (rad)', fontsize=8)
            if bFirstStroke:
                self.ax_char_prf.hold(True)
                self.ax_xvel.hold(True)
                self.ax_yvel.hold(True)
                self.ax_vel_prf.hold(True)
                self.ax_ang_prf.hold(True)

                bFirstStroke = False

        colors = ['r', 'y', 'k', 'g', 'w']
        last_stroke_end_t = 0.0
        for curr_idx in range(len(self.char_mdl)):
            #hold current drawings to add new curves
            mdl, t_array, opt_parms, traj_opt, vel_vec_opt, theta_opt  = self.get_perturbed_trajectory_and_parms(curr_idx)

            self.ax_char_prf.plot(traj_opt[:, 0], -traj_opt[:, 1], 'r')
            self.ax_vel_prf.plot(t_array[:]+last_stroke_end_t, np.sum(vel_vec_opt**2, axis=1)**(1./2), 'r')

            self.ax_xvel.plot(t_array[:]+last_stroke_end_t, vel_vec_opt[:, 0], 'r')
            self.ax_yvel.plot(t_array[:]+last_stroke_end_t, vel_vec_opt[:, 1], 'r')
            self.ax_ang_prf.plot(t_array[1:]+last_stroke_end_t, theta_opt, 'r')

            #for each component
            for parm in opt_parms:
                comp_traj, comp_vel_vec = mdl.eval(t_array, [parm])
                self.ax_vel_prf.plot(t_array[:]+last_stroke_end_t, np.sum(comp_vel_vec**2, axis=1)**(1./2), 'g')
                self.ax_xvel.plot(t_array[:]+last_stroke_end_t, comp_vel_vec[:, 0], 'g')
                self.ax_yvel.plot(t_array[:]+last_stroke_end_t, comp_vel_vec[:, 1], 'g')
            last_stroke_end_t += t_array[-1]

        self.ax_char_prf.hold(False)
        self.ax_xvel.hold(False)
        self.ax_yvel.hold(False)
        self.ax_vel_prf.hold(False)
        self.ax_ang_prf.hold(False)
        self.canvas.draw()
        return
Exemplo n.º 4
0
    def plot_data(self):
        #plot data
        curr_data = self.get_current_data()
        bFirstStroke = True
        last_stroke_end_t = 0.0
        #currently, only consider one stroke
        for stroke in curr_data:
            #vel profile
            vel_profile = utils.get_vel_profile(stroke) / self.dt
            #t_array
            t_array = np.arange(len(vel_profile)) * self.dt + last_stroke_end_t
            last_stroke_end_t = t_array[-1]
            #vel vec & theta
            vel_vec = np.diff(stroke, axis=0) / self.dt
            #theta = np.arctan2(vel_vec[:, 1], vel_vec[:, 0])

            theta = utils.get_continuous_ang(stroke)

            #plot
            #only data
            #char profile
            self.ax_char_prf.plot(stroke[:, 0], -stroke[:, 1], 'b')
            self.ax_char_prf.set_title('Character Profile', fontsize=8)
            self.ax_char_prf.set_xticks([])
            self.ax_char_prf.set_yticks([])
            #vel_x & vel_y
            self.ax_xvel.plot(t_array, vel_vec[:, 0], 'b')
            self.ax_xvel.set_title('X Velocity', fontsize=8)
            self.ax_xvel.set_xlabel('Time (s)', fontsize=8)
            self.ax_xvel.set_ylabel('Velocity (Unit/s)', fontsize=8)
            self.ax_yvel.plot(t_array, vel_vec[:, 1], 'b')
            self.ax_yvel.set_title('Y Velocity', fontsize=8)
            self.ax_yvel.set_xlabel('Time (s)', fontsize=8)
            self.ax_yvel.set_ylabel('Velocity (Unit/s)', fontsize=8)
            #vel profile
            self.ax_vel_prf.plot(t_array, vel_profile, 'b')
            self.ax_vel_prf.set_title('Velocity Maganitude', fontsize=8)
            self.ax_vel_prf.set_xlabel('Time (s)', fontsize=8)
            self.ax_vel_prf.set_ylabel('Maganitude (Unit/s)', fontsize=8)
            #ang profile
            self.ax_ang_prf.plot(t_array, theta, 'b')
            self.ax_ang_prf.set_title('Angular Position', fontsize=8)
            self.ax_ang_prf.set_xlabel('Time (s)', fontsize=8)
            self.ax_ang_prf.set_ylabel('Angular Position (rad)', fontsize=8)
            if bFirstStroke:
                self.ax_char_prf.hold(True)
                self.ax_xvel.hold(True)
                self.ax_yvel.hold(True)
                self.ax_vel_prf.hold(True)
                self.ax_ang_prf.hold(True)

                bFirstStroke = False

        colors = ['r', 'y', 'k', 'g', 'w']
        last_stroke_end_t = 0.0
        for curr_idx in range(len(self.char_mdl)):
            #hold current drawings to add new curves
            #now only the first stroke
            #registration points...
            mdl = pytk.TrajKinMdl()
            mdl.x0 = self.char_mdl[curr_idx]['start_pnt'][0]
            mdl.y0 = self.char_mdl[curr_idx]['start_pnt'][1]
            mdl.mdl_parms_ = self.char_mdl[curr_idx]['opt_parms']
            vel_profile = self.char_mdl[curr_idx]['vel_profile']
            reg_pnts_array = self.char_mdl[curr_idx]['reg_pnts_array']
            t_array = np.arange(len(vel_profile)) * self.dt

            #opt
            #get noise
            num_parm_per_comp = 4
            noise_ratio_array = []

            for slider_lst in self.parms_sliders[curr_idx]:
                for slider in slider_lst:
                    noise_ratio_array.append(
                        float((slider.value() - 50)) / 100)

            noise_ratio_array = np.reshape(noise_ratio_array,
                                           (-1, num_parm_per_comp))
            opt_parms = np.array(self.char_mdl[curr_idx]['opt_parms'])
            for row in range(opt_parms.shape[0]):
                opt_parms[row][0] += noise_ratio_array[row][0] * np.abs(
                    opt_parms[row][0]) * 0.8
                opt_parms[row][2] += noise_ratio_array[row][1] * np.abs(
                    opt_parms[row][2]) * 0.5
                opt_parms[row][3] += noise_ratio_array[row][2] * np.abs(
                    opt_parms[row][3]) * 0.5
                #theta_s & theta_e: noise is applied to delta_theta
                opt_theta_s = opt_parms[row][4]
                opt_theta_e = opt_parms[row][5]
                opt_parms[row][4] = (opt_theta_s + opt_theta_e) / 2 - (
                    opt_theta_e -
                    opt_theta_s) * (1 + noise_ratio_array[row][3] * 2) / 2
                opt_parms[row][5] = (opt_theta_s + opt_theta_e) / 2 + (
                    opt_theta_e -
                    opt_theta_s) * (1 + noise_ratio_array[row][3] * 2) / 2
            traj_opt, vel_vec_opt = mdl.eval(t_array, opt_parms)
            theta_opt = utils.get_continuous_ang(traj_opt)
            self.ax_char_prf.plot(traj_opt[:, 0], -traj_opt[:, 1], 'r')
            self.ax_vel_prf.plot(t_array[:] + last_stroke_end_t,
                                 np.sum(vel_vec_opt**2, axis=1)**(1. / 2), 'r')

            self.ax_xvel.plot(t_array[:] + last_stroke_end_t,
                              vel_vec_opt[:, 0], 'r')
            self.ax_yvel.plot(t_array[:] + last_stroke_end_t,
                              vel_vec_opt[:, 1], 'r')
            self.ax_ang_prf.plot(t_array[1:] + last_stroke_end_t, theta_opt,
                                 'r')

            #for each component
            for parm in opt_parms:
                comp_traj, comp_vel_vec = mdl.eval(t_array, [parm])
                self.ax_vel_prf.plot(t_array[:] + last_stroke_end_t,
                                     np.sum(comp_vel_vec**2, axis=1)**(1. / 2),
                                     'g')
                self.ax_xvel.plot(t_array[:] + last_stroke_end_t,
                                  comp_vel_vec[:, 0], 'g')
                self.ax_yvel.plot(t_array[:] + last_stroke_end_t,
                                  comp_vel_vec[:, 1], 'g')
            last_stroke_end_t += t_array[-1]

        self.ax_char_prf.hold(False)
        self.ax_xvel.hold(False)
        self.ax_yvel.hold(False)
        self.ax_vel_prf.hold(False)
        self.ax_ang_prf.hold(False)
        self.canvas.draw()
        return
Exemplo n.º 5
0
    def plot_data(self):
        #plot data
        #evaluate base
        curr_data = [mdl['stroke'] for mdl in self.char_mdl]

        bFirstStroke = True
        last_stroke_end_t = 0.0
        if 'vel_profile' not in self.char_mdl[0]:
            print 'no velocity profile stored'
            return
        #currently, only consider one stroke
        for strk_idx, stroke in enumerate(curr_data):
            #vel profile
            vel_profile = self.char_mdl[strk_idx]['vel_profile']

            #t_array
            t_array = np.linspace(0, 1.0, len(stroke)) + last_stroke_end_t

            last_stroke_end_t = t_array[-1]
            #vel vec & theta
            vel_vec = np.diff(stroke, axis=0) / (t_array[1] - t_array[0])
            #theta = np.arctan2(vel_vec[:, 1], vel_vec[:, 0])

            theta = utils.get_continuous_ang(stroke)

            #plot
            #only data
            #char profile
            self.ax_char_prf.plot(stroke[:, 0],
                                  -stroke[:, 1],
                                  'b',
                                  linewidth=4.0)
            self.ax_char_prf.set_title('Character Profile', fontsize=8)
            self.ax_char_prf.set_xlim([-1.5, 1.5])
            self.ax_char_prf.set_ylim([-1.5, 1.5])

            self.ax_char_prf.set_xticks([])
            self.ax_char_prf.set_yticks([])

            #vel_x & vel_y
            self.ax_xvel.plot(t_array[0:-1], vel_vec[:, 0], 'b', linewidth=4.0)
            self.ax_xvel.set_title('X Velocity', fontsize=8)
            self.ax_xvel.set_xlabel('Time (s)', fontsize=8)
            self.ax_xvel.set_ylabel('Velocity (Unit/s)', fontsize=8)
            self.ax_yvel.plot(t_array[0:-1], vel_vec[:, 1], 'b', linewidth=4.0)
            self.ax_yvel.set_title('Y Velocity', fontsize=8)
            self.ax_yvel.set_xlabel('Time (s)', fontsize=8)
            self.ax_yvel.set_ylabel('Velocity (Unit/s)', fontsize=8)
            #vel profile
            self.ax_vel_prf.plot(t_array, vel_profile, 'b', linewidth=4.0)
            self.ax_vel_prf.set_title('Velocity Maganitude', fontsize=8)
            self.ax_vel_prf.set_xlabel('Time (s)', fontsize=8)
            self.ax_vel_prf.set_ylabel('Maganitude (Unit/s)', fontsize=8)
            #ang profile
            self.ax_ang_prf.plot(t_array[0:-1], theta, 'b', linewidth=4.0)
            self.ax_ang_prf.set_title('Angular Position', fontsize=8)
            self.ax_ang_prf.set_xlabel('Time (s)', fontsize=8)
            self.ax_ang_prf.set_ylabel('Angular Position (rad)', fontsize=8)
            if bFirstStroke:
                self.ax_char_prf.hold(True)
                self.ax_xvel.hold(True)
                self.ax_yvel.hold(True)
                self.ax_vel_prf.hold(True)
                self.ax_ang_prf.hold(True)

                bFirstStroke = False

        colors = ['r', 'y', 'k', 'g', 'w']
        last_stroke_end_t = 0.0
        for curr_idx in range(len(self.char_mdl)):
            #hold current drawings to add new curves
            #now only the first stroke
            #registration points...
            vel_profile = self.char_mdl[curr_idx]['vel_profile']
            t_array = np.linspace(0, 1.0, len(curr_data[curr_idx]))
            if 'start_pnt' in self.char_mdl[
                    curr_idx] and 'opt_parms' in self.char_mdl[curr_idx]:
                x0 = self.char_mdl[curr_idx]['start_pnt'][0]
                y0 = self.char_mdl[curr_idx]['start_pnt'][1]
                opt_parms = np.array(self.char_mdl[curr_idx]['opt_parms'])

                traj_opt, vel_vec_opt, opt_parms = self.traj_eval_helper(
                    curr_idx, t_array, opt_parms, x0, y0)
                theta_opt = utils.get_continuous_ang(traj_opt)
                self.ax_char_prf.plot(traj_opt[:, 0],
                                      -traj_opt[:, 1],
                                      'r',
                                      linewidth=4.0)
                self.ax_vel_prf.plot(t_array[:] + last_stroke_end_t,
                                     np.sum(vel_vec_opt**2, axis=1)**(1. / 2),
                                     'r',
                                     linewidth=4.0)

                self.ax_xvel.plot(t_array[:] + last_stroke_end_t,
                                  vel_vec_opt[:, 0],
                                  'r',
                                  linewidth=4.0)
                self.ax_yvel.plot(t_array[:] + last_stroke_end_t,
                                  vel_vec_opt[:, 1],
                                  'r',
                                  linewidth=4.0)
                self.ax_ang_prf.plot(t_array[1:] + last_stroke_end_t,
                                     theta_opt,
                                     'r',
                                     linewidth=4.0)

                #for each component
                for parm in opt_parms:
                    comp_traj, comp_vel_vec = pytkrxz.rxzero_traj_eval([parm],
                                                                       t_array,
                                                                       x0, y0)
                    self.ax_vel_prf.plot(t_array[:] + last_stroke_end_t,
                                         np.sum(comp_vel_vec**2,
                                                axis=1)**(1. / 2),
                                         'g',
                                         linewidth=2.5)
                    self.ax_xvel.plot(t_array[:] + last_stroke_end_t,
                                      comp_vel_vec[:, 0],
                                      'g',
                                      linewidth=2.5)
                    self.ax_yvel.plot(t_array[:] + last_stroke_end_t,
                                      comp_vel_vec[:, 1],
                                      'g',
                                      linewidth=2.5)
                last_stroke_end_t += t_array[-1]
            else:
                last_stroke_end_t += t_array[-1]

        self.ax_char_prf.hold(False)
        self.ax_xvel.hold(False)
        self.ax_yvel.hold(False)
        self.ax_vel_prf.hold(False)
        self.ax_ang_prf.hold(False)
        self.canvas.draw()
        return
Exemplo n.º 6
0
    def plot_data(self):
        #plot data
        curr_data = self.get_current_data()
        bFirstStroke = True
        last_stroke_end_t = 0.0        
        #currently, only consider one stroke
        for stroke in curr_data:
            #vel profile
            vel_profile = utils.get_vel_profile(stroke)/self.dt
            #t_array
            t_array = np.arange(len(vel_profile))*self.dt + last_stroke_end_t
            last_stroke_end_t = t_array[-1]
            #vel vec & theta
            vel_vec = np.diff(stroke, axis=0)/self.dt
            #theta = np.arctan2(vel_vec[:, 1], vel_vec[:, 0])

            theta = utils.get_continuous_ang(stroke)

            #plot
            #only data
            #char profile
            self.ax_char_prf.plot(stroke[:, 0], -stroke[:, 1], 'b')
            self.ax_char_prf.set_title('Character Profile', fontsize=8)
            self.ax_char_prf.set_xticks([])
            self.ax_char_prf.set_yticks([])
            #vel_x & vel_y
            self.ax_xvel.plot(t_array, vel_vec[:, 0], 'b')
            self.ax_xvel.set_title('X Velocity', fontsize=8)
            self.ax_xvel.set_xlabel('Time (s)', fontsize=8)
            self.ax_xvel.set_ylabel('Velocity (Unit/s)', fontsize=8)
            self.ax_yvel.plot(t_array, vel_vec[:, 1], 'b')
            self.ax_yvel.set_title('Y Velocity', fontsize=8)
            self.ax_yvel.set_xlabel('Time (s)', fontsize=8)
            self.ax_yvel.set_ylabel('Velocity (Unit/s)', fontsize=8)
            #vel profile
            self.ax_vel_prf.plot(t_array, vel_profile, 'b')
            self.ax_vel_prf.set_title('Velocity Maganitude', fontsize=8)
            self.ax_vel_prf.set_xlabel('Time (s)', fontsize=8)
            self.ax_vel_prf.set_ylabel('Maganitude (Unit/s)', fontsize=8)
            #ang profile
            self.ax_ang_prf.plot(t_array, theta, 'b')
            self.ax_ang_prf.set_title('Angular Position', fontsize=8)
            self.ax_ang_prf.set_xlabel('Time (s)', fontsize=8)
            self.ax_ang_prf.set_ylabel('Angular Position (rad)', fontsize=8)
            if bFirstStroke:
                self.ax_char_prf.hold(True)
                self.ax_xvel.hold(True)
                self.ax_yvel.hold(True)
                self.ax_vel_prf.hold(True)
                self.ax_ang_prf.hold(True)

                bFirstStroke = False

        colors = ['r', 'y', 'k', 'g', 'w']
        last_stroke_end_t = 0.0   
        for curr_idx in range(len(self.char_mdl)):
            #hold current drawings to add new curves
            #now only the first stroke
            #registration points...
            mdl = pytk.TrajKinMdl()
            mdl.x0 = self.char_mdl[curr_idx]['start_pnt'][0]
            mdl.y0 = self.char_mdl[curr_idx]['start_pnt'][1]
            mdl.mdl_parms_ = self.char_mdl[curr_idx]['opt_parms']
            vel_profile = self.char_mdl[curr_idx]['vel_profile']
            reg_pnts_array = self.char_mdl[curr_idx]['reg_pnts_array']
            t_array = np.arange(len(vel_profile))*self.dt

            #opt
            #get noise
            num_parm_per_comp = 4
            noise_ratio_array = []

            for slider_lst in self.parms_sliders[curr_idx]:
                for slider in slider_lst:
                    noise_ratio_array.append(float((slider.value()-50))/100)

            noise_ratio_array = np.reshape(noise_ratio_array, (-1, num_parm_per_comp))
            opt_parms = np.array(self.char_mdl[curr_idx]['opt_parms'])
            for row in range(opt_parms.shape[0]):
                opt_parms[row][0] += noise_ratio_array[row][0] * np.abs(opt_parms[row][0]) * 0.8
                opt_parms[row][2] += noise_ratio_array[row][1] * np.abs(opt_parms[row][2]) * 0.5
                opt_parms[row][3] += noise_ratio_array[row][2] * np.abs(opt_parms[row][3]) * 0.5
                #theta_s & theta_e: noise is applied to delta_theta
                opt_theta_s = opt_parms[row][4]
                opt_theta_e = opt_parms[row][5]
                opt_parms[row][4] = (opt_theta_s + opt_theta_e)/2 - (opt_theta_e-opt_theta_s) * (1 + noise_ratio_array[row][3]*2) / 2
                opt_parms[row][5] = (opt_theta_s + opt_theta_e)/2 + (opt_theta_e-opt_theta_s) * (1 + noise_ratio_array[row][3]*2) / 2
            traj_opt, vel_vec_opt = mdl.eval(t_array, opt_parms)
            theta_opt = utils.get_continuous_ang(traj_opt)
            self.ax_char_prf.plot(traj_opt[:, 0], -traj_opt[:, 1], 'r')
            self.ax_vel_prf.plot(t_array[:]+last_stroke_end_t, np.sum(vel_vec_opt**2, axis=1)**(1./2), 'r')

            self.ax_xvel.plot(t_array[:]+last_stroke_end_t, vel_vec_opt[:, 0], 'r')
            self.ax_yvel.plot(t_array[:]+last_stroke_end_t, vel_vec_opt[:, 1], 'r')
            self.ax_ang_prf.plot(t_array[1:]+last_stroke_end_t, theta_opt, 'r')

            #for each component
            for parm in opt_parms:
                comp_traj, comp_vel_vec = mdl.eval(t_array, [parm])
                self.ax_vel_prf.plot(t_array[:]+last_stroke_end_t, np.sum(comp_vel_vec**2, axis=1)**(1./2), 'g')
                self.ax_xvel.plot(t_array[:]+last_stroke_end_t, comp_vel_vec[:, 0], 'g')
                self.ax_yvel.plot(t_array[:]+last_stroke_end_t, comp_vel_vec[:, 1], 'g')
            last_stroke_end_t += t_array[-1]

        self.ax_char_prf.hold(False)
        self.ax_xvel.hold(False)
        self.ax_yvel.hold(False)
        self.ax_vel_prf.hold(False)
        self.ax_ang_prf.hold(False)
        self.canvas.draw()
        return