System and method for estimating synthetic quantitative health values from medical images
11151722 · 2021-10-19
Inventors
Cpc classification
G06F18/214
PHYSICS
A61B5/055
HUMAN NECESSITIES
G06T7/143
PHYSICS
G06F18/2113
PHYSICS
International classification
G06T7/143
PHYSICS
A61B5/00
HUMAN NECESSITIES
A61B5/055
HUMAN NECESSITIES
Abstract
A computer-implemented method, an apparatus, and a system for estimating synthetic values of quantitative metrics are provided. They involve calculating new, more accurate boundaries using a classifier based on local intensity and spatial estimators, for the segmentation mask provided by a non-local means patch-based segmentation in a test image, and estimating for the pixels of interest at least one synthetic value of a quantitative metric using a given value of the quantitative metric assigned to the reference images and the boundaries. The method, apparatus, and system provide the advantage of generating synthetic values directly comparable against known values for given subjects or against predetermined scales for diagnostic or prognostic purposes. In the specific case of Alzheimer's disease, the invention stretches the predictive range up to two full decades, which constitutes a significant advance in the field of medical diagnostics.
Claims
1. An apparatus for processing medical images including a test image initially segmented to provide a segmentation mask having boundaries comprising pixels/voxels of interest, comprising: a processor; memory comprising program code that, when executed by said processor, cause said processor to: calculate classifier-driven boundaries on said segmentation mask in said test image and to reassign classes of said pixels/voxels of interest as a function of local tissue intensity using a classifier to produce label values for each one of said pixels/voxels of interest, and generate an a posteriori map; estimate, for pixels/voxels of said a posteriori map of said test image, at least one synthetic value of a quantitative metric as a function of said label values using a given value of said quantitative metric assigned to reference images.
2. The apparatus as claimed in claim 1, wherein said memory further comprises program code that, when executed by said processor, further cause said processor to calculate an overall synthetic value for said test image from said at least one synthetic value.
3. The apparatus as claimed in claim 2, wherein said memory further comprises program code that, when executed by said processor, further cause said processor to calculate a mean value of said at least one synthetic value, and said overall synthetic value is said mean value.
4. The apparatus as claimed in claim 2, wherein said memory further comprises program code that, when executed by said processor, further cause said processor to determine a state of health from said overall synthetic value.
5. The apparatus as claimed in claim 4, wherein said memory further comprises program code that, when executed by said processor, further cause said processor to compare said overall synthetic value against a predetermined scale specific to said quantitative metric in determining said state of health.
6. The apparatus as claimed in claim 4, wherein said memory further comprises program code that, when executed by said processor, further cause said processor to compare the difference between said overall synthetic value and a real value associated with said test image against a predetermined scale specific to the difference between synthetic and real values for said quantitative metric in determining said state of health.
7. The apparatus as claimed in claim 1, wherein said quantitative metric is the cortical age of a brain.
8. The apparatus as claimed in claim 1, wherein said classifier is a support vector machine classifier.
9. The apparatus as claimed in claim 8, wherein said classifier comprises assigning for each one of said pixels/voxels of interest a vector of predictors of length N using the formula:
X.sub.k=[μ.sub.kσ.sub.k{tilde over (μ)}.sub.k.sup.3{tilde over (μ)}.sub.k.sup.4{tilde over (μ)}.sub.k.sup.5|∇I|.sub.k∇.sup.2I.sub.k∇.sub.94.sup.2I.sub.k] wherein: μ.sub.k and σ.sub.k are the local mean and standard deviation of the intensity in a neighbourhood centered at pixel/voxel k,
10. The apparatus as claimed in claim 9, wherein said classifying further comprises calculating said label values using a formula:
11. The apparatus as claimed in claim 1, wherein said pixels/voxels of interest define a region of interest of said test image, said region of interest comprising a structure that changes with said quantitative metric.
12. The apparatus as claimed in claim 11, wherein said memory further comprises program code that, when executed by said processor, further cause said processor to isolate said region of interest from said test image.
13. The apparatus of claim 11, wherein said structure comprises one or more of a left hippocampus, a right hippocampus, a left entorhinal cortex, and a right entorhinal cortex.
14. The apparatus as claimed in claim 1, wherein a reference patch used in said calculating is selected according to its relatedness to a test patch surrounding said pixels/voxels of interest.
15. The apparatus as claimed in claim 14, wherein said relatedness is determined by a mean and a standard deviation of intensity values of said test patch pixels/voxels and said reference patch pixels/voxels.
16. The apparatus as claimed in claim 1, wherein said estimating further comprises estimating at least one synthetic value using the formula:
17. The apparatus of claim 1, wherein a patch size of said pixels/voxels of interest is between 1×1×1 voxels and 100×100×100 voxels.
18. A system for processing medical images comprising: a medical imager for generating a test image; an apparatus for processing medical images comprising: a processor; and memory storing program code that, when executed by said processor, cause said processor to: calculate classifier-driven boundaries on a segmentation mask in said test image and to reassign classes of pixels/voxels of interest as a function of local tissue intensity using a classifier to produce label values for each one of said pixels/voxels of interest, and generate an a posteriori map; and estimate, for said pixels/voxels of said a posteriori map of said test image, at least one estimation of a synthetic value of a quantitative metric as a function of said label values using a given value of said quantitative metric assigned to said reference images; a client application configured to receive and present data provided by said apparatus; wherein said imager, apparatus, and client application communicate data over a network and return to said client application said overall synthetic value.
19. The system as claimed in claim 18 wherein said medical imager is an MRI scanner.
20. A computing device for processing medical images including a test image initially segmented to provide a segmentation mask having boundaries comprising pixels/voxels of interest, comprising: a processor that is configured to implement: calculating classifier-driven boundaries on said segmentation mask in said test image and reassigning classes of said pixels/voxels of interest as a function of local tissue intensity using a classifier to produce label values for each one of said pixels/voxels of interest, and generating an a posteriori map; and estimating, for pixels/voxels of said a posteriori map of said test image, at least one synthetic value of a quantitative metric as a function of said label values using a given value of said quantitative metric assigned to reference images.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The invention will be better understood by way of the following detailed description of embodiments of the invention with reference to the appended drawings, in which:
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DETAILED DESCRIPTION
(10) The present invention relates generally to medical image processing. More specifically, the invention relates to methods, apparatuses, and systems for determining synthetic health values from medical images.
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(12) In Coupé et al. [Coupé, P., Manjon, J. V., Fonov, V., Pruessner, J., Robles, M., Collins, D. L., 2010. Nonlocal patch-based label fusion for hippocampus segmentation. Med Image Comput Assist Interv 13, 129-136.], the nonlocal means estimator was introduced in the context of segmentation by averaging labels instead of intensities. By using a training library of N subjects whose segmentations of structures are known, the weighted label fusion is estimated as follows:
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(14) where l(x.sub.s,j) is the label (i.e., 0 for background and 1 for structure) given by the expert to the voxel x.sub.s,j at location j in training subject s. With a label set of {0,1} voxels with value v(x.sub.i)≥0.5 are considered as belonging to the considered structure and the remaining voxels as background. In Coupé et al, the authors showed that accurate segmentations of anatomical structures can be obtained using this simple patch-based label fusion framework. We will refer to this segmentation as the original patch-based segmentation.
(15) In the current invention, the applicants are the first to introduce the use of local intensity-based refinement of label segmentation using a classifier. The current embodiment uses support vector machine (SVM), but other embodiments could use different classifiers, such as graph cuts.
(16) The SVM classifier is used to reassign voxel classes (or re-label voxels). For each voxel k that needs to be classified, a vector of predictors of length N is assigned. In this embodiment, an 8-dimensional vector is assigned:
X.sub.k=[μ.sub.kσ.sub.k{tilde over (μ)}.sub.k.sup.3{tilde over (μ)}.sub.k.sup.4{tilde over (μ)}.sub.k.sup.5|∇I|.sub.k∇.sup.2I.sub.k∇.sub.σ.sup.2I.sub.k] (4)
(17) where μ.sub.k and σ.sub.k are the local mean and standard deviation of the intensity in a neighbourhood centered at the voxel, here set at 3×3×3 but which could be of a different size, and which could be anisotropic. The next components are a variety of local metrics within the neighbourhood. This could comprise moments, operators, textures, bags of intensities, or other well-known metrics for the art. In this embodiment a set of three components are the normalized, central moments (NCM) of the probability distribution function (PDF) of intensities:
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(19) where the I.sub.i are the voxel intensities in the same cubic neighbourhood. Another component is the norm of the local intensity gradient. It is computed by convolving the image with an operator (for example edge operators). In this embodiment the 3×3×3 Sobel operator is used to evaluate each of the partial derivatives, from which the norm of the local gradient is computed. Two other components are from kernels, in this embodiment the 3×3×3 Laplacian kernel and the 7×7×7 Laplacian of a Gaussian kernel with a standard deviation of 40 mm. Other kernels with other dimensions and standard deviations can be used. It has been found that the best choice of predictors is a combination of those related to the local intensity PDF the spatial intensity distribution (local slope and curvature at different scales).
(20) The initial class of the voxel k, assigned by the patch-based technique is the observation Y.sub.k that corresponds to the vector of predictors X.sub.k (see Eq. 4). Combining the data from all the N voxels in the mask defined by the original patch-based segmentation and its outer shell, for example the hippocampus, an N×8 observation matrix X and N×1 column vector Y are obtained. A coarse Gaussian classifier is applied to this (X, Y) dataset, using cross validation to minimize the rate of misclassification of the new predicted vector Y′. The updated mask can be recreated using the Y′ vector that holds the new class of each one of the N voxels.
(21) From local intensity-based refinement to post-processing of the SVM a posteriori map. For each voxel, the SVM classifier provides the a posteriori probability that the voxel belongs to class 1. Thus a 3D probability map is generated, which is subsequently smoothed using a procedure based on a penalized least squares method and the discrete cosine transform. This method provides a robust 3D smoothing. The new mask voxels are found by thresholding above 50% the smoothed a posteriori 3D probability map generated by the SVM classifier. Only the largest segmented connected object is kept in order to remove remaining binary noise and disconnected components, which are generally much smaller than the region of interest. Removing fragments of the segmented region in coarse resolution images can generate false negatives. However, one should keep in mind that the experts generated continuous segmentations for most features. Overall, the new segmentation mask should be composed of voxels from only one object, bar small inclusions of different tissues (e.g. lesions within brain; different tumor regions). In the example of the hippocampus, these are small clumps of CSF found beside 75% of the HC in the reference segmentations; 95% of them were smaller than 37 mm.sup.3 (i.e. 37 voxels). After the patch segmentation, 95% of the remaining clumps were smaller than 5 mm.sup.3. After using the SVM classifier, only 1% of the HC were still found associated with CSF and 95% of the clumps were smaller than 4 mm.sup.3. Hence, keeping only the largest segmented object for a given label has minimal consequences given the volumes of the features of interest.
(22) From post-processing of the SVM a posteriori map to combining multiple a posteriori maps. The refining step involving the SVM classifier is repeated for every label to segment in the test image. The assignment of labels based on the smoothed probability maps, that extend beyond their original patch masks and thus overlap their neighbouring masks, must be done with great care. Bayes theorem is used to sort out each voxel class:
C.sub.k=arg.sub.C max{p(X.sub.k|C)N.sub.C} (6)
(23) where p(X.sub.k|C) is the (smoothed) a posteriori probability that the voxel k belongs to class C, and N.sub.C is the number of voxels involved in the corresponding SVM classification. Implementation of the class sorting is then performed by generating a map of the product p(X.sub.k|C)N.sub.c for each label processed and then compared, for each voxel, to the maximum value of the maps generated for the previous labels. The voxels for which the maximum change are assigned the new label. The steps presented herein above yield classifier-driven boundaries that can be used for grading purposes as explained herein below.
(24) According to one embodiment of the present invention, the refining step involving the SVM classifier is repeated for all structures and the resulting a posteriori maps are consolidated to arrive at a pixel classification that is more likely to reflect reality than one derived from a posteriori maps generated for a subset of structures.
(25) It is important to note that while the classifier-driven boundaries are described as calculated using the steps presented herein above, they may alternatively be calculated using other combinations of image processing steps. For instance, while the classifier-driven boundaries are described as calculated on segmentation masks generated using the patch-based technique, they can alternatively be calculated on segmentation masks generated using other techniques.
(26) From segmentation to grading. For each patch of the subject under study, a comparison is performed with all the patches constituting the selected training subjects. This way, the simultaneous segmentation and grading of the studied structure is obtained. The final grading value, or structure-based synthetic value, corresponds to the average value over the estimated segmentation. This procedure is achieved for each studied structure, such as left and right HC, and left and right entorhinal complex (EC). This is similar to the procedure in US. Pat. Pub. No. 20140226882 A1.
(27) From grading to calculating an overall synthetic value. Applicants extend this segmentation method to efficiently aggregate a quantitative brain health metric in order to estimate the proximity (in the nonlocal means sense) of each voxel compared to the populations constituting the training library.
(28) It will be appreciated that in the specification, the term “quantitative metric” refers to any semi-quantitative or fully quantitative metric deemed pertinent for the purposes of determining a state of health of a test subject. Semi-quantitative metrics are scales that follow abnormal distributions. They include clinical scales such as the Geriatric Depression Scale (GDS), neuropsychological scales such as those associated with the MMSE and the Montreal Cognitive Assessment (MoCA), as well as pathological scales such as those associated with Braak, Thal, and the Consortium to Establish a Registry for Alzheimer's Disease (CERAD). Conversely, fully quantitative metrics are scales that follow a standard distribution, such as age and blood cholesterol levels.
(29) Several strategies can be used to fuse the average grading of studied structures. First, if there are two structures, each structure can be used separately. Second, it is possible to assign the same weight to both structures. In this embodiment, the left and right HC and entorhinal cortices (e.g.,
(30) Experiment confirming the present invention's ability to estimate synthetic values for quantitative metrics. The experiment consisted in using the method to estimate synthetic values of a specific, quantitative health metric: the cortical age of a brain from an MRI. For the purposes of the experiment, 101 semi-automated cortical labels provided in the MindBoggle dataset (Klein 2012) and included in the Freesurfer software were used. These labels come from individuals aged 19 to 61 years old. Using the method of the present invention, the Applicant segmented each cortical area in a leave-one-out fashion, calculated a cortical area age for each cortical area, and calculated a brain age as the mean of all cortical area ages. Preliminary data on 67 randomly chosen individuals out of the 101 in the MindBoggle are shown in
(31) Interpreting the overall synthetic value to determine a state of health. In some embodiments, the overall synthetic value is compared against a classification scale specific to the quantitative metric in order to determine a state of health of the structure under study. For instance, if the quantitative metric is the Braak scale score, the overall synthetic value corresponds to a Braak scale score calculated by comparing an image of a test subject's brain against images of reference subjects' brains, the reference subjects having known Braak scale scores from post-mortem examinations. The overall synthetic value can then be directly used to classify the severity of disease cognitive impairment.
(32) In other embodiments, the overall synthetic value can be compared against a known value to assess the difference, or delta, between the values, for the test subject, and subsequently compare the difference assessed for the test subject against differences assessed for reference subjects presenting different health profiles. For instance, if the quantitative metric is the cortical age of a brain, the overall synthetic value corresponds to an age calculated by comparing an image of a test subject's brain against images of reference subjects' brains, the reference subjects having known chronological ages. The calculated brain age can be compared against the chronological age of the test subject to assess the difference therebetween. The difference is subsequently compared against differences assessed for AD, MCI, and CTRL reference subjects of the same chronological age. If the difference assessed for the test subject is closer to the differences assessed for AD reference subjects of the same age, the state of health of the test subject would reflect a likelihood of AD. In another example, the difference could be used to assess the relative effect of an intervention aimed to reduce this synthetic age discrepancy.
(33) A second experiment was conducted to exemplify such use of the overall synthetic value. For the purposes of the second experiment, the Applicant analysed released data from the Hippocampus Harmonization project (www.hippocampal-protocol.net), namely images and hippocampal labels for 119 individuals with the best reference model registration, out of the 135 ADNI participants in the Harmonization project (35 CTRL, 41 MCI, 43 AD). The Applicant performed leave-one-out patch-based segmentation and calculated hippocampal ages for all subjects. The reported score was calculated as the weighted sum of all CTRL template subject's chronological ages used by the patch segmentation, over the total sum of the weights from all (CTRL and AD) templates. The delta (Δ) hippocampal age score is the difference between this calculated hippocampal age and chronological age. Shown in
(34) In yet other embodiments, the overall synthetic value can be compared against a known value to assess the difference, or delta, therebetween, for the test subject, and subsequently compare the difference assessed for the test subject against values interpolated from differences assessed for reference subjects presenting different health profiles. This type of interpretation of the overall synthetic value will now be described with reference to
(35) While the state of health has been described as derived from the overall synthetic value, it can alternatively be derived from a combination of relevant metrics including the overall synthetic value to improve accuracy. For instance, if the overall synthetic value corresponds to the cortical age of a brain, the combination fo relevant metrics can also include the test subject's known Braak score and blood test results.
(36) Referring now to
(37) Referring now to
(38) Referring now to
(39) Referring now to
(40) Within the segmentation module 821, a patch-based segmentation module 805 generates a test image with patch-based labels for the pixels, an SVM classifier 807 adjusts the labels as a function of local tissue intensity and generates a posteriori maps for the pixels, and a map combinator 809 combines maps generates for each pixel to provide a test image with labeled pixels. A structure label calculator 811 calculates structure-based labels for each structure and provides the test image along with the structure-based labels to a quantitative metric aggregator 817.
(41) Within the quantitative metric module 823, a test image grade calculator 813 estimates synthetic values or grades for the pixels and provides the test image along with the pixel-based synthetic values to a structure grade calculator 815. The structure grade calculator 815 calculates structure-based synthetic values from the pixel-based synthetic values and provides the test image along with the structure-based synthetic values to the quantitative metric aggregator 817.
(42) The quantitative metric aggregator 817 generates an overall synthetic value from the structure-based labels provided by the structure label calculator 811 and the structure-based synthetic values provided by the structure grade calculator 815. A quantitative metric interpreter 819 derives a state of health of the subject from the overall synthetic value, and in some cases, from a combination of the overall synthetic value and other known metric values of the test subject. The state of health can consist in a diagnosis, a prognosis, or both.
(43) It will be appreciated that non-local mean refers to the method of Buades for denoising images presented in Buades et al. [Buades, A., Coll, B., Morel, J. M., 2005. A non-local algorithm for image denoising. 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Vol 2, Proceedings, 60-65.]. Also, while the present invention has been described as involving a patch-based segmentation enhanced through the use of SVM classifiers, it can alternatively perform a patch-based segmentation without any such enhancement or with other enhancements as provided by graph-based procedures or linear regression tools. Furthermore, it will be appreciated that other structures can be used to improve the estimation of synthetic values and the present invention can be applied to other diseases.
(44) It is understood that the term “structure” is not limited to the brain and can be any structure identified in an image. For instance, the structure can correspond to HC, EC, a nucleus, an organ, a muscle, a breast, a blood vessel, a gland, a cartilage, a ligament, or a bone. In some embodiments, the structure can actually be void of any tissue and thus defined by its inner or outer surface. The structure can also be a space filled with a fluid (cerebro-spinal fluid) such the ventricles.
(45) It will be appreciated that throughout this description, the term “state of health” includes a current state of health in some cases, and a predicted state of health in others, depending on the manner in which the synthetic values are interpreted. For segmentation purposes, the term “label” refers to an indication as to whether a pixel belongs to a structure of interest. Labels can have binary values whereas states of health can have values reflecting a continuum from completely healthy to completely diseased. As mentioned previously, it will be appreciated that, in some embodiments, the state of health can be prognostic rather than diagnostic. The method, apparatus, and system of the present invention can be used in longitudinal or multi-modal studies in order to determine, for example, tumor size/growth rate/progression.
(46) It will be appreciated that the term “subject” refers to any person whose image has been processed as per the method, by the apparatus, or by the system of the present invention. The subject can be healthy or diseased. Reference images can be obtained, among others, from a template library, from a collection of pre-labelled datasets, from a collection of datasets from subjects with known quantitative metric values.
(47) Although the specification presents one way of selecting and weighing patches, other methods can be used instead. For example, patch selection and weighting can be based on subject's age, gender or other clinical data such as cognitive scores, genetic phenotype, or other clinical data. It is important to note that averaging a grade (g) within a structure may be sub-optimal for some quantitative metrics or diseases and alternative inter or intra-structural weight distribution schemes (e.g. multi-variate logistic regression) can be used to obtain better results. For instance, the anterior part of HC may prove to be more useful for diagnostic purposes than other parts of HC.
(48) The terms “pixel” and “voxel” are used interchangeably in the specification and the invention works in 2 dimensions (2D), 3 dimensions (3D) and n dimensions using either a single modality or multiple modalities. The image can be multi-dimensional, for example a 2D set of pixels, a 3D set of voxels, a 3D dataset comprising of 2D pixels acquired over time, a 4D dataset of 3D voxels over time, a 4D dataset of 3D voxels where each voxel is represented by a spectrogram. The terms “grade” and “synthetic values” are used interchangeably in the specification.
(49) The term “network” should be understood as including internal networks, the Internet and any displacement of any type of physical media such as CDs and flash memory from one place to another. The term “image” in the present invention refers to any image such as an image generated in a magnetic resonance imaging (MRI), positron-emission tomography (PET), computerized tomography (CT), fluoroscopy, X-ray, etc. The term “pre-processing” refers to at least one of image format conversion, denoising, regridding, correction of intensity inhomogeneity, registration to a library image, isotropic resampling, intensity clamping, intensity standardization, and non-linear alignment.
(50) Among the advantages of the present invention for medical professionals are increasing productivity, increasing confidence in diagnosis, increasing confidence in treatment plans, leveraging state-of-the-art knowledge, enabling personalized medicine, allowing to predict if a patient will benefit from a particular drug. Among the advantages of the present invention for pharmaceutical companies are allowing to determine if a patient will benefit from a particular drug, using the present invention as a selection and an enrichment tool for clinical trials, such as decreasing sample size or targeting responders.
(51) While the invention has been described in connection with specific embodiments thereof, it will be understood that it is capable of further modifications and this application is intended to cover any variations, uses, or adaptations of the invention following, in general, the principles of the invention and including such departures from the present disclosures as come within known or customary practice within the art to which the invention pertains and as may be applied to the essential features herein before set forth, and as follows in the scope of the appended claims.