(a) Gray value as a function of <i>T</i> and position <i>x</i> in the case of symmetry; (b) Gray value as a function of <i>T</i> and position <i>x</i> in the case of asymmetry.

<p>(a) Gray value as a function of <i>T</i> and position <i>x</i> in the case of symmetry; (b) Gray value as a function of <i>T</i> and position <i>x</i> in the case of asymmetry.</p

When <i>w</i> = 2, (a) width as a function of <i>a</i> and <i>T</i>; (b) <i>λ</i> as a function of <i>a</i> and <i>T</i>; (c) bias as a function of <i>a</i> and <i>T</i>.

<p>When <i>w</i> = 2, (a) width as a function of <i>a</i> and <i>T</i>; (b) <i>λ</i> as a function of <i>a</i> and <i>T</i>; (c) bias as a function of <i>a</i> and <i>T</i>.</p

Application of the proposed method to (a) medical imaging (the image is taken from [27]); (b) image of a 1D target in the line-structured light vision system; (c) image of a planar target in the line-structured light vision system.

<p>Application of the proposed method to (a) medical imaging (the image is taken from [<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0127068#pone.0127068.ref027" target="_blank">27</a>]); (b) image of a 1D target in the line-structured light vision system; (c) image of a planar target in the line-structured light vision system.</p

Extraction of the light stripe at different exposure levels.

<p>The green line represents the gray value of the profile, whereas the red line represents the fitting result. Extraction with exposure duration of (a) 70 ms; (b) 253 ms; (c) 590 ms; (d) 870 ms; (e) 1030 ms; (f) 2723 ms.</p

Effect of perspective distortion on extraction.

<p>(a) Processed image, (b) Original image. The green circle denotes the image center, whereas the red cross denotes the corrected one.</p

(a) Over-exposure image, (b) extraction result in over-exposure image.

<p>(a) Over-exposure image, (b) extraction result in over-exposure image.</p

(a) Image of a bar-shaped, (b) image of a parabolic, and (c) image of a Gaussian line with equal line widths.

<p>(a) Image of a bar-shaped, (b) image of a parabolic, and (c) image of a Gaussian line with equal line widths.</p

Perspective distortion in the camera model.

<p>Perspective distortion in the camera model.</p

Typical projective model of a camera.

<p>Typical projective model of a camera.</p

Perspective distortion as a function of the shooting angle.

<p>Perspective distortion as a function of the shooting angle.</p