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Fix mistakes in formula #8607

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Aug 23, 2022
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Fix mistakes in formula #8607

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4 changes: 2 additions & 2 deletions mmdet/models/utils/gaussian_target.py
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Original file line number Diff line number Diff line change
Expand Up @@ -104,7 +104,7 @@ def gaussian_radius(det_size, min_overlap):
.. math::
\cfrac{(w-r)*(h-r)}{w*h+(w+h)r-r^2} \ge {iou} \quad\Rightarrow\quad
{r^2-(w+h)r+\cfrac{1-iou}{1+iou}*w*h} \ge 0 \\
{a} = 1,\quad{b} = {-(w+h)},\quad{c} = {\cfrac{1-iou}{1+iou}*w*h}
{a} = 1,\quad{b} = {-(w+h)},\quad{c} = {\cfrac{1-iou}{1+iou}*w*h} \\
{r} \le \cfrac{-b-\sqrt{b^2-4*a*c}}{2*a}

- Case2: both two corners are inside the gt box.
Expand All @@ -128,7 +128,7 @@ def gaussian_radius(det_size, min_overlap):
.. math::
\cfrac{(w-2*r)*(h-2*r)}{w*h} \ge {iou} \quad\Rightarrow\quad
{4r^2-2(w+h)r+(1-iou)*w*h} \ge 0 \\
{a} = 4,\quad {b} = {-2(w+h)},\quad {c} = {(1-iou)*w*h}
{a} = 4,\quad {b} = {-2(w+h)},\quad {c} = {(1-iou)*w*h} \\
{r} \le \cfrac{-b-\sqrt{b^2-4*a*c}}{2*a}

- Case3: both two corners are outside the gt box.
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