Table 3: Stellar properties and fit parameters. The stellar parameters of CQ Tau are taken in Chiang et al. (2001). For HD 135344 and HD 163296, the parameters are taken from Meeus et al. (2001) and van Boekel et al. (2005). $H_{p}^{\rm in}/R_{\rm in}$ characterizes the puffed inner rim. q is the power-law index of the scale height and p that of the surface density. $H_{\rm p}^{\rm out}/R_{\rm out}$ characterizes the flaring angle of the disk. The last column is the flux at 20.5 $\mu $m calculated from the modeled image.
Object Distance $M_{\star}$ $T_{\rm eff}$ $R_{\star}$ $R_{\rm in}$ $H_{p}^{\rm in}/R_{\rm in}$ $R_{\rm out}$ $H_{p}^{\rm out}/R_{\rm out}$ p q i F (20.5 $\mu $m)
  (pc) ($M_{\odot}$) (K) ($R_{\odot}$) (AU)   (AU)       (degrees) (Jy)
HD 135344 84 1.3 6750 2.1 0.24 0.065 800 0.21 0.8 9/7 60 -
(DDN03)                        
HD 135344 140 1.3 6750 2.1 0.24 0.065 200 0.12 0.8 9/7 45 5.7
(in this study)                        
HD 163296 122 2.5 10500 1.7 0.45 0.033 50 0.07 0.2 9/7 65 -
(DDN03)                        
HD 163296 100 2.5 10500 1.7 0.45 0.033 200 0.05 1. 1.07 60 16.6
(in this study)                        
CQ Tau 100 1.7 7130 1.3 0.23 0.0002 180 0.13 1.5 9/7 - -
(Chiang2001)                        
CQ Tau 100 1.7 7130 1.9 0.23 0.018 450 0.13 0.3 9/7 33 20
(in this study)                        


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