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We present a study of low surface brightness galaxies (LSBGs) selected byfitting the images for all the galaxies in $\alpha$.40 SDSS DR7 sample with twokinds of single-component models and two kinds of two-component models(disk+bulge): single exponential, single s\'{e}rsic, exponential+deVaucular(exp+deV), and exponential+s\'{e}rsic (exp+ser). Under the criteria of the Bband disk central surface brightness $\mu_{\rm 0,disk}{\rm (B) \geqslant 22.5\mag\ arcsec^{-2}}$ and the axis ratio $\rm b/a > 0.3$, we selected fournone-edge-on LSBG samples from each of the models which contain 1105, 1038,207, and 75 galaxies, respectively. There are 756 galaxies in common betweenLSBGs selected by exponential and s\'{e}rsic models, corresponding to 68.42% ofLSBGs selected by the exponential model and 72.83% of LSBGs selected by thes\'{e}rsic model, the rest of the discrepancy is due to the difference inobtaining $\mu_{0}$ between the exponential and s\'{e}rsic models. Based on thefitting, in the range of $0.5 \leqslant n \leqslant 1.5$, the relation of$\mu_{0}$ from two models can be written as $\mu_{\rm 0,s\acute{e}rsic} -\mu_{\rm 0,exp} = -1.34(n-1)$. The LSBGs selected by disk+bulge models(LSBG_2comps) are more massive than LSBGs selected by single-component models(LSBG_1comp), and also show a larger disk component. Though the bulges in themajority of our LSBG_2comps are not prominent, more than 60% of our LSBG_2compswill not be selected if we adopt a single-component model only. We alsoidentified 31 giant low surface brightness galaxies (gLSBGs) from LSBG_2comps.They are located at the same region in the color-magnitude diagram as othergLSBGs. After we compared different criteria of gLSBGs selection, we find thatfor gas-rich LSBGs, $M_{\star} > 10^{10}M_{\odot}$ is the best to distinguishbetween gLSBGs and normal LSBGs with bulge.

Low Surface Brightness Galaxies selected by different model fitting