Methods and apparatuses for correcting a mammogram with an implant, and for segmenting an implant
First Claim
1. A method of segmenting an implant in a radiographic image of a portion of a patient'"'"'s body that contains the implant, the method comprising:
- (a) smoothing the image by a lowpass first filter for reducing noise in order to obtain a smoothed image;
(b) applying a non-directional spatial derivative second filter to the smoothed image in order to obtain a filtered image;
(c) hysteresis thresholding pixels of the filtered image in order to obtain a thresholded image, the hysteresis thresholding comprising;
(i) retaining pixels having a brightness value greater than or equal to a high first threshold,(ii) discarding pixels having a brightness value less than a low second threshold, and(iii) retaining pixels having a brightness value lying between the high first threshold and the low second threshold providing they are adjacent to at least one pixel having a brightness value greater than or equal to the high first threshold;
(d) selecting an outline obtained in the thresholded image, thereby defining a segmented portion of the image corresponding to the implant;
(e) modifying the low second threshold used during the hysteresis thresholding if the segmented portion obtained does not satisfy a calculated criterion, and reapplying the hysteresis thresholding and electing an outline in order to obtain a new segmented portion of the image; and
if the calculated criterion is not satisfied after a predetermined number of modifications or after lowering the low second threshold to a minimum, then dilatations are performed followed by erosions of increasing size on the thresholded image until a closed outline is obtained defining the segmented portion,wherein prior to the smoothing at least one anisotropic filtering is applied to the image in order to decrease noise, andwherein the anisotropic filtering applies a filter to the preceding pixels of the image, which filter delivers at the following iteration for the pixel of coordinates s, a new pixel of coordinates s, defined by the equation;
u(s,t+Δ
t)=u(s,t)+Δ
t*div (f (∥
∇
u(s,t)∥
)·
∇
u(s,t))where;
∇
designates the gradient operator;
div designates the divergence operator;
f is a decreasing non-uniformity function; and
Δ
t is a positive and non-zero predetermined increment.
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Abstract
The invention relates to a method of correcting a digital mammogram of a breast containing an implant. According to the invention, brightnesses situated at and around the implant peak (PI) in the low frequency component of the image (XLP) are attenuated (ATT) as compared with a function (P1) that is applied to the other brightnesses, thereby attenuating the implant.
The invention also provides a method of segmenting an implant in a radiographic image, the method being characterized by the following steps: smoothing the image by a noise-reducing lowpass filter, applying a non-directional spatial derivative filter, pixel thresholding, and selecting an outline to define the segmented portion of the image that corresponds to the implant.
85 Citations
28 Claims
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1. A method of segmenting an implant in a radiographic image of a portion of a patient'"'"'s body that contains the implant, the method comprising:
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(a) smoothing the image by a lowpass first filter for reducing noise in order to obtain a smoothed image; (b) applying a non-directional spatial derivative second filter to the smoothed image in order to obtain a filtered image; (c) hysteresis thresholding pixels of the filtered image in order to obtain a thresholded image, the hysteresis thresholding comprising; (i) retaining pixels having a brightness value greater than or equal to a high first threshold, (ii) discarding pixels having a brightness value less than a low second threshold, and (iii) retaining pixels having a brightness value lying between the high first threshold and the low second threshold providing they are adjacent to at least one pixel having a brightness value greater than or equal to the high first threshold; (d) selecting an outline obtained in the thresholded image, thereby defining a segmented portion of the image corresponding to the implant; (e) modifying the low second threshold used during the hysteresis thresholding if the segmented portion obtained does not satisfy a calculated criterion, and reapplying the hysteresis thresholding and electing an outline in order to obtain a new segmented portion of the image; and if the calculated criterion is not satisfied after a predetermined number of modifications or after lowering the low second threshold to a minimum, then dilatations are performed followed by erosions of increasing size on the thresholded image until a closed outline is obtained defining the segmented portion, wherein prior to the smoothing at least one anisotropic filtering is applied to the image in order to decrease noise, and wherein the anisotropic filtering applies a filter to the preceding pixels of the image, which filter delivers at the following iteration for the pixel of coordinates s, a new pixel of coordinates s, defined by the equation;
u(s,t+Δ
t)=u(s,t)+Δ
t*div (f (∥
∇
u(s,t)∥
)·
∇
u(s,t))where; ∇
designates the gradient operator;div designates the divergence operator; f is a decreasing non-uniformity function; and Δ
t is a positive and non-zero predetermined increment.- View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16)
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5. The method according to claim 1, wherein zero-crossings are looked for in the filtered image, as subjected to the gradient norm calculated on said filtered image, in order to preselect at least one outline.
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6. The method according to claim 1, wherein the criterion is at least one of the group constituted by:
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the area of the segmented portion belongs to a range of areas relative to the estimated area of the portion of the body in the image; and the variance of the segmented portion is below a variance threshold.
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7. The method according to claim 1, wherein the selecting at least one outline obtained in the thresholded image is performed automatically by comparison with region models defined by prerecorded reference functions.
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8. The method according to claim 1, wherein processing is applied to the resulting segmented image portion, which processing consists in applying a mask for blocking out said segmented portion from the initial image.
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9. The method according to claim 1, wherein processing is applied to the resulting segmented portion of the image, which processing consists in identifying its outline in the initial image.
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10. The method according to claim 1, wherein prior to the smoothing, a dynamic linearization is applied to the image, for expanding the dynamic range of pale zones relative to the dynamic range of dark zones in the image.
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11. The method according to claim 10, wherein the dynamic linearization applies a cumulative distribution function to the histogram of the image.
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12. The method according to claim 1 wherein the decreasing non-uniformity function f is a Gaussian function.
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13. The method according to claim 12, wherein the new pixel of the following iteration is given by:
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14. The method according to claim 1, wherein the predetermined increment Δ
- t is greater than 0 and less than 0.25.
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15. The method according to claim 1, wherein a mask region is grown inside the boundaries of the resulting segmented portion, the region being grown from at least one selected starting point, by iterating at least one growth step, each growth step including within the mask region those pixels that are adjacent to the region obtained at the preceding iteration and that have brightness values that are sufficiently close to those of the region obtained at the preceding iteration.
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16. The method according to claim 15, wherein the starting point for growth of the mask region is obtained by:
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simple thresholding of the image above a brightness threshold that is less than the maximum brightness of the pixels of the image so as to obtain a first image zone; and eroding and then dilating the first zone so as to obtain a second zone, with the center of gravity of the second zone then being taken as the starting point for growing the mask region.
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17. A method of segmenting an implant and for correcting a digital mammogram of a breast containing an implant, information being represented in the mammogram by pixels of brightness greater than or less than a background, the method comprising:
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detecting, in the histogram of brightnesses of the mammogram, an adipose first peak, calculating a first brightness value corresponding to the adipose first peak, detecting a second peak in the histogram of brightnesses of the mammogram, said second peak corresponding to the presence of the implant, and calculating a second brightness value corresponding to the implant second peak; resolving the mammogram into a low frequency image component and a high frequency image component; applying a first correction function to the low frequency image component, in order to obtain a processed low frequency image component, the first correction function comprising; in a first configuration where breast information is represented in the mammogram by pixels of brightness greater than that of a background, an implant attenuation for brightnesses situated at least at and around the implant peak relative to a first function applied to the other brightnesses situated between the first value and the second value; a second configuration in which breast information is represented in the mammogram by pixels having brightnesses lower than that of a background, an implant amplification for brightnesses situated at least at and around the implant peak relative to a first function applied to the other brightnesses situated between the first value and the second value; and restoring the corrected mammogram on the basis of the high frequency component and of the processed low frequency component. - View Dependent Claims (18, 19, 20, 21, 22, 23, 24, 25)
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26. An apparatus for segmenting an implant and for correcting a mammogram of a breast containing an implant, the apparatus comprising:
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means for detecting an adipose first peak in a histogram of pixel brightness of the mammogram; means for calculating a first brightness value corresponding to the adipose first peak; means for detecting an implant second peak in the histogram of pixel brightness of the mammogram; means for calculating a second brightness value corresponding to the implant second peak; means for separating the mammogram into a low frequency image component and into a high frequency image component; means for applying a correction function to the low frequency image component in order to obtain a processed low frequency image component; and means for combining the high frequency component and the processed low frequency component into a corrected mammogram. - View Dependent Claims (27, 28)
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Specification