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Baba H, et al. : <strong>Development</strong> <strong>of</strong> <strong>the</strong> FLR <strong>Assist</strong>ance <strong>for</strong> <strong>the</strong> <strong>Strain</strong> <strong>Ratio</strong> <strong>Measurement</strong> in Breast Elastography. MEDIX 58, 42-45, 2013 (in Japanese) .<br />

Technical Report<br />

<strong>Development</strong> <strong>of</strong> <strong>Assist</strong> <strong>Strain</strong> <strong>Ratio</strong> <strong>for</strong><br />

<strong>the</strong> <strong>Strain</strong> <strong>Ratio</strong> <strong>Measurement</strong> in Breast Elastography<br />

Hirotaka Baba<br />

Kouji Waki<br />

Naoyuki Murayama<br />

Takashi Iimura<br />

Yusuke Miyauchi<br />

Hitachi Aloka Medical, Ltd. Medical Systems Engineering Division<br />

We have developed <strong>Assist</strong> <strong>Strain</strong> <strong>Ratio</strong>. This is intended to improve <strong>the</strong> convenience and objectivity <strong>for</strong> one <strong>of</strong> <strong>the</strong><br />

features <strong>of</strong> a <strong>Strain</strong> <strong>Ratio</strong> measurement <strong>of</strong> elastography. And that is what is measured semi-automatically strain ratio <strong>of</strong> a<br />

tumor area and a fat area in <strong>the</strong> mammary glandFLR : Fat Lesion <strong>Ratio</strong>. In comparison with <strong>the</strong> value measured by <strong>the</strong><br />

user manually, <strong>the</strong> average value is 0.87±0.06SD in terms <strong>of</strong> <strong>the</strong> radius <strong>of</strong> <strong>the</strong> overlapping ratio <strong>of</strong> <strong>the</strong> tumor ROI and <strong>the</strong><br />

fat ROI. We visually confirmed that <strong>the</strong> ROI on <strong>the</strong> fat layer <strong>of</strong> 93 cases in 99 cases. There was a strong positive<br />

correlation between <strong>the</strong> semi-automatic measurements and manual measurements (r 0.84, p 0.0001). Thus, this<br />

system is a promising tool to improve <strong>the</strong> throughput <strong>of</strong> <strong>Strain</strong> <strong>Ratio</strong> <strong>Measurement</strong>.<br />

Key Words: <strong>Assist</strong> <strong>Strain</strong> <strong>Ratio</strong>, <strong>Strain</strong> <strong>Ratio</strong>, Fat Lesion <strong>Ratio</strong>, FLR, Real-time Tissue Elastography, Ascendus<br />

1. Introduction<br />

Elastography is a method that exploits <strong>the</strong> elasticity <strong>of</strong><br />

tissue—<strong>the</strong> s<strong>of</strong>ter <strong>the</strong> tissue, <strong>the</strong> more de<strong>for</strong>mable it is; <strong>the</strong><br />

stiffer <strong>the</strong> tissue, <strong>the</strong> less de<strong>for</strong>mable it is—to measure <strong>the</strong><br />

displacement <strong>of</strong> tissue in minute areas and visualize <strong>the</strong><br />

strain calculated from <strong>the</strong> measurements 1)2) . This technology,<br />

equipped with real-time display capability and incorporated<br />

into a practical system, is named Real-time Tissue<br />

Elastography *1 (hereinafter referred to as elastography) 3)4) . In<br />

general, strain depends on stress (compression velocity) and<br />

is <strong>the</strong>re<strong>for</strong>e difficult to quantify. However, by taking<br />

advantage <strong>of</strong> <strong>the</strong> fact that strain changes linearly in a range<br />

<strong>of</strong> 2 to 3% 5) , we have developed <strong>Strain</strong> <strong>Ratio</strong> (SR), a measure<br />

<strong>for</strong> quantifying strain based on <strong>the</strong> ratio <strong>of</strong> strain between<br />

different tissues 6) .<br />

The elasticity score, a semi-quantitative assessment <strong>of</strong><br />

tissue elasticity in <strong>the</strong> breast region scored by <strong>the</strong> examiner,<br />

is reported to have greater sensitivity and a higher correct<br />

diagnosis rate than diagnosis using B-mode images 7) , and has<br />

been widely introduced as a new tool to support<br />

conventional diagnostic in<strong>for</strong>mation. A method has been<br />

developed to provide quantitative assessment <strong>of</strong> SR in <strong>the</strong><br />

breast region using <strong>Strain</strong> <strong>Ratio</strong> <strong>of</strong> fat to lesion, Fat Lesion<br />

<strong>Ratio</strong> (FLR), as shown in <strong>for</strong>mula (1), and FLR has been<br />

-1-<br />

reported to have sufficient clinical capability <strong>for</strong> objective<br />

diagnosis 8) .<br />

Mean fat strain<br />

FLR = (1)<br />

Mean lesion strain<br />

Generally speaking, changes in tissue elasticity due to <strong>the</strong><br />

estrous cycle and individual differences are considered less<br />

pronounced in fat than in <strong>the</strong> normal mammary gland, which<br />

is why FLR serves as an index to estimate <strong>the</strong> degree <strong>of</strong><br />

strain in a lesion in relation to that in fat. Since fat is s<strong>of</strong>t<br />

and <strong>the</strong> strain is large, <strong>the</strong> SR value is <strong>of</strong>ten greater than 1,<br />

and <strong>the</strong> harder and less de<strong>for</strong>mable <strong>the</strong> lesion is, <strong>the</strong> greater<br />

<strong>the</strong> SR value.<br />

2. Problems <strong>of</strong> conventional operation<br />

Conventional procedures <strong>of</strong> SR measurement involve<br />

visualizing an elastography image and setting regions <strong>of</strong><br />

interest (ROIs) manually on <strong>the</strong> mass and fat layer<br />

respectively. When setting ROIs, visual inspection and<br />

careful manual handling are required because <strong>the</strong> examiner<br />

needs to identify a hypoechoic area in <strong>the</strong> B-mode image,<br />

set a circular ROI that roughly inscribes <strong>the</strong> identified area,<br />

and repeat <strong>the</strong> same procedure in <strong>the</strong> fat layer.<br />

MEDIX-E004


3. Operating procedure and automated<br />

algorithm <strong>of</strong> <strong>Assist</strong> <strong>Strain</strong> <strong>Ratio</strong><br />

To solve <strong>the</strong> problems <strong>of</strong> operation, we have automated<br />

almost <strong>the</strong> entire process <strong>of</strong> operation involved in <strong>the</strong><br />

setting <strong>of</strong> ROIs and named this capability <strong>Assist</strong> <strong>Strain</strong><br />

<strong>Ratio</strong>. The operating procedure and algorithm are described<br />

below.<br />

3.1 Operating procedure<br />

After <strong>the</strong> elastography image is visualized, when <strong>the</strong> user<br />

roughly specifies <strong>the</strong> center <strong>of</strong> <strong>the</strong> area on which to set a<br />

mass ROI, <strong>the</strong> algorithm automatically sets <strong>the</strong> mass and fat<br />

layer ROIs, calculates <strong>the</strong> SR value, and displays it on <strong>the</strong><br />

screen.<br />

3.2 Algorighm <strong>for</strong> <strong>the</strong> automated setting <strong>of</strong> mass ROIs<br />

First, <strong>the</strong> algorithm calculates <strong>the</strong> margin <strong>of</strong> a tumor mass<br />

visualized on a B-mode image. Then it places an ROI circle<br />

that roughly inscribes <strong>the</strong> mass margin with its center set in<br />

<strong>the</strong> neighborhood <strong>of</strong> <strong>the</strong> point specified by <strong>the</strong> user. We say<br />

<strong>the</strong> ROI circle inscribes <strong>the</strong> mass margin “roughly” because<br />

sometimes <strong>the</strong> mass margin is invisible under <strong>the</strong> shadow <strong>of</strong><br />

<strong>the</strong> nipple or <strong>the</strong> mass. Also, <strong>the</strong> algorithm searches <strong>for</strong> <strong>the</strong><br />

center <strong>of</strong> <strong>the</strong> ROI circle in <strong>the</strong> "neighborhood" <strong>of</strong> <strong>the</strong> point<br />

specified by <strong>the</strong> user—ra<strong>the</strong>r than setting it exactly at that<br />

point—to maximize <strong>the</strong> area <strong>of</strong> <strong>the</strong> ROI. We wanted to make<br />

this process easier, thus we have <strong>the</strong> algorithm search this<br />

way because it is difficult <strong>for</strong> <strong>the</strong> user to visually specify on<br />

<strong>the</strong> image <strong>the</strong> optimal center that maximizes <strong>the</strong> radius <strong>of</strong><br />

<strong>the</strong> ROI. The user only has to roughly indicate <strong>the</strong> center <strong>of</strong><br />

<strong>the</strong> mass; <strong>the</strong> exact location <strong>of</strong> <strong>the</strong> center and setting <strong>of</strong> <strong>the</strong><br />

optimal ROI are automatically processed by <strong>the</strong> algorithm.<br />

Detection <strong>of</strong> <strong>the</strong> mass margin is achieved by function f as<br />

shown in <strong>for</strong>mula (2). Function f takes up <strong>the</strong> points that<br />

have gradient directions (A) going away from <strong>the</strong><br />

user-specified point (U) and returns <strong>the</strong> points that have<br />

sharp and large gradient lengths (L) as <strong>the</strong> legion margin (R).<br />

The gradient direction (A) is <strong>the</strong> direction <strong>of</strong> <strong>the</strong> change in<br />

brightness (<strong>for</strong>mula (3)), and <strong>the</strong> gradient length (L)<br />

represents <strong>the</strong> sharpness <strong>of</strong> <strong>the</strong> change in brightness<br />

(<strong>for</strong>mula (4)). The gradient <strong>of</strong> brightness (G) is a vector<br />

consisting <strong>of</strong> x and y components, which is calculated by<br />

partial differentiation <strong>of</strong> <strong>the</strong> brightness <strong>of</strong> <strong>the</strong> B-mode image<br />

(I) (<strong>for</strong>mula (5)). An example <strong>of</strong> <strong>the</strong> mass margin calculated<br />

from a phantom image is shown in Figure 1.<br />

Figure 1: Example <strong>of</strong> <strong>the</strong> calculated mass margin<br />

B-mode image <strong>of</strong> a phantom (top) and gradient vectors (middle, blue<br />

arrows); Gradient length (middle, monotone image); Mass margin<br />

(bottom, blue dots)<br />

The detection <strong>of</strong> <strong>the</strong> mass margin (R) is followed by <strong>the</strong><br />

determination <strong>of</strong> <strong>the</strong> optimal center <strong>of</strong> <strong>the</strong> ROI (C) from <strong>the</strong><br />

pixels (c) neighboring <strong>the</strong> user-specified point. The<br />

algorithm proceeds as follows. First, it calculates <strong>the</strong><br />

distance from each (c k<br />

) <strong>of</strong> <strong>the</strong> neighboring pixels (c) to all<br />

<strong>the</strong> pixels at <strong>the</strong> mass margin, and determines <strong>the</strong> minimum<br />

distances (J k<br />

) <strong>of</strong> all <strong>the</strong> distances (<strong>for</strong>mula (6)). Then it<br />

selects <strong>the</strong> maximum <strong>of</strong> <strong>the</strong> minimum distances as index K<br />

(<strong>for</strong>mula (7)), and has <strong>the</strong> central location (c K<br />

) serve as <strong>the</strong><br />

center <strong>of</strong> <strong>the</strong> ROI (<strong>for</strong>mula (8)). An example <strong>of</strong> <strong>the</strong> calculated<br />

ROI is shown in Figure 2.<br />

Minimum distance J k = argmin(|Rj – c k |)<br />

Index K, <strong>the</strong> maximum <strong>of</strong> <strong>the</strong> minimum distances = augmax(J k<br />

k<br />

Calculated center <strong>of</strong> <strong>the</strong> ROI = cK<br />

(6)<br />

(7)<br />

(8)<br />

R = f ( U, A, L )<br />

(2)<br />

A = angle ( G )<br />

(3)<br />

L = | G |<br />

(4)<br />

G<br />

=<br />

∂I<br />

∂I<br />

+ i<br />

(5)<br />

∂x<br />

∂y<br />

-2-<br />

Figure 2: Example <strong>of</strong> <strong>the</strong> calculated ROI<br />

User-specified point (U) (red point) and calculated ROI (yellow circle and<br />

yellow point); Pixels neighboring <strong>the</strong> user-specified point (c) (green dots);<br />

Minimum distance (Jk) (red line)<br />

MEDIX-E004


3.3 Algorighm <strong>for</strong> <strong>the</strong> automated setting <strong>of</strong> a fat layer ROI<br />

Since it is difficult with <strong>the</strong> current technology to identify a<br />

fat layer, we took <strong>the</strong> approach <strong>of</strong> not setting an ROI in an<br />

area that is obviously not a fat layer. The procedure consists<br />

<strong>of</strong> <strong>the</strong> following 3 steps:<br />

1) Calculate distributions in which areas that are<br />

obviously not a fat layer are given low values<br />

(hereinafter referred to as “possibility distribution” ).<br />

2) Have <strong>the</strong> area with <strong>the</strong> highest value <strong>of</strong> possibility<br />

distribution serve as <strong>the</strong> tentative center <strong>of</strong> a fat layer ROI.<br />

Draw an ROI circle that has a radius extending from <strong>the</strong><br />

area neighboring <strong>the</strong> tentative center to <strong>the</strong> margin <strong>of</strong><br />

3) <strong>the</strong> fat layer in <strong>the</strong> same manner used <strong>for</strong> drawing a<br />

mass ROI.<br />

An explanation <strong>of</strong> this important concept <strong>of</strong> possibility<br />

distribution follows. Possibility distribution has <strong>the</strong> same<br />

field as <strong>the</strong> elastography image. Each pixel in this field is<br />

given a value <strong>of</strong> 0 if it is “obviously not a fat layer,” and a<br />

value greater than 0 but not greater than 1 if it is not<br />

“obviously not a fat layer.” In o<strong>the</strong>r words, an area likely to<br />

be a fat layer has a value closer to 1, and an area that is<br />

unlikely to be a fat layer has a value closer to 0. Since <strong>the</strong>se<br />

values are difficult to determine based on a single condition,<br />

<strong>the</strong>y are determined based on multiple conditions.<br />

Possibility distribution (P) is calculated as <strong>the</strong> product <strong>of</strong><br />

distributions P1, P2 and P3 as shown in <strong>for</strong>mula (9).<br />

Examples <strong>of</strong> <strong>the</strong>se distributions are shown in Figure 3, and<br />

each type <strong>of</strong> distribution is explained as follows:<br />

-<br />

-<br />

-<br />

P1: distribution in which areas with low brightness <strong>of</strong> a<br />

B-mode image (I) are given a possibility value <strong>of</strong> 0, and<br />

<strong>the</strong> o<strong>the</strong>rs are given 1 (<strong>for</strong>mula (10))<br />

P2: distribution in which <strong>the</strong> higher <strong>the</strong> gradient length<br />

(L), <strong>the</strong> lower <strong>the</strong> possibility (<strong>for</strong>mula (11))<br />

P3: distribution in which areas with low strain<br />

distribution (E) are given a possibility value <strong>of</strong> 0, and<br />

<strong>the</strong> o<strong>the</strong>rs are given 1 (<strong>for</strong>mula (12))<br />

Possibility distribution P = P 1 ∙ P 2 ∙ P3<br />

Non-low-intensity distribution P 1 =<br />

B-image intensity (I) ><br />

Low-intensity decision threshold<br />

Non-structure distribution P 2 = 1 -<br />

Non-de<strong>for</strong>mation distribution P3 =<br />

Gradient length (L)<br />

Max (gradient length (L))<br />

<strong>Strain</strong> distribution (E) ><br />

<strong>Strain</strong> threshold<br />

(9)<br />

(10)<br />

(11)<br />

(12)<br />

3.4 Assessment method<br />

Among patients who underwent <strong>the</strong> SR measurements by<br />

means <strong>of</strong> <strong>the</strong> HI VISION Ascendus diagnostic ultrasound<br />

scanner *2 in a breast sonography examination at Kawasaki<br />

Hospital and Tsukuba Medical Center Hospital, 99 patients<br />

with a mass image-<strong>for</strong>ming mass were subjected to<br />

assessment. The assessment involved a quantitative<br />

determination <strong>of</strong> how closely <strong>the</strong> user-set ROIs and <strong>the</strong><br />

measured SR values were approximated by those determined<br />

semi-automatically by <strong>the</strong> algorithm with <strong>the</strong> input <strong>of</strong> <strong>the</strong><br />

user-specified centers <strong>of</strong> ROIs. Mass ROIs were evaluated<br />

by radius-converted overlap rate. Fat layer ROIs were<br />

visually examined to determine whe<strong>the</strong>r <strong>the</strong> ROI set by <strong>the</strong><br />

algorithm was located on <strong>the</strong> fat layer. An overall evaluation<br />

was made using <strong>the</strong> correlation coefficients <strong>of</strong> <strong>the</strong> SR values<br />

measured by <strong>the</strong> user and those measured semi-automatically.<br />

The radius-converted overlap rate was calculated by <strong>for</strong>mula<br />

(13), where α is <strong>the</strong> radius <strong>of</strong> an ROI set by <strong>the</strong> user, β is<br />

<strong>the</strong> radius <strong>of</strong> an ROI set semi-automatically, and γ is <strong>the</strong><br />

radius converted from <strong>the</strong> overlapped area. The<br />

radius-converted overlap rate is 1 if both ROIs overlap<br />

completely with each o<strong>the</strong>r, and 0 if <strong>the</strong>re is no overlap.<br />

Radius-converted overlap rate =<br />

2γ<br />

α + β<br />

4. Results and Discussion<br />

The mean radius-converted overlap rate <strong>for</strong> mass ROIs was<br />

0.87 ± 0.06 SD. Figure 4 shows examples <strong>of</strong><br />

radius-converted overlap rates <strong>of</strong> 0.81, 0.87, and 0.93.<br />

Visual inspection <strong>of</strong> <strong>the</strong> fat ROIs revealed that <strong>the</strong> ROI was<br />

located on <strong>the</strong> fat layer in 93 <strong>of</strong> <strong>the</strong> 99 cases. The SR values<br />

measured by <strong>the</strong> user and those measured semi-automatically<br />

were strongly positively correlated (r=0.84, p


These results suggest that <strong>the</strong> probability is comparable to<br />

that <strong>of</strong> <strong>the</strong> SR values determined with <strong>the</strong> conventional<br />

manual method. Since replacing <strong>the</strong> manual measurement<br />

with semi-automatic measurement reduces <strong>the</strong> trouble<br />

involved, <strong>the</strong> introduction <strong>of</strong> this technology will hopefully<br />

improve <strong>the</strong> throughput <strong>of</strong> examination. To attain this<br />

improvement it is necessary to clearly visualize <strong>the</strong> margin <strong>of</strong><br />

a mass on a B-mode image and achieve good reproducibility<br />

when obtaining elastographic images.<br />

5. Limitations<br />

With this technology it is difficult to detect accurate margin<br />

in<strong>for</strong>mation from masses that do not have a distinct tumor<br />

shape, such as masses with ambiguous margins on B-mode<br />

images or non-mass image-<strong>for</strong>ming masses. It is also<br />

necessary to check <strong>the</strong> validity <strong>of</strong> <strong>the</strong> set ROI and correct it<br />

manually if it turns out to be invalid.<br />

6. Future challenges<br />

Fur<strong>the</strong>r reducing <strong>the</strong> difficulty in measurement will require<br />

automated detection <strong>of</strong> <strong>the</strong> center <strong>of</strong> a lesion ROI. If this<br />

becomes possible, <strong>the</strong> user will be able to obtain results with<br />

just one press <strong>of</strong> a button on <strong>the</strong> console, eliminating a<br />

significant amount <strong>of</strong> steps in <strong>the</strong> examination and thus<br />

contributing to improved throughput.<br />

References<br />

1)<br />

2)<br />

3)<br />

4)<br />

5)<br />

6)<br />

7)<br />

8)<br />

Shiina T, et al. : <strong>Strain</strong> Imaging Using Combined RF and<br />

Envelope Autocorrelation Processing. Proc. <strong>of</strong> 1996<br />

IEEE Ultrasonics Symp, 4 : 1331-1336, 1996.<br />

Matsumura T, et al. : <strong>Development</strong> <strong>of</strong> Freehand<br />

Ultrasound<br />

Elasticity Imaging System and in vivo Results. First<br />

International Conference on <strong>the</strong> Ultrasonic <strong>Measurement</strong><br />

and Imaging <strong>of</strong> Tissue Elasticity, 1 : 80, 2002.<br />

Matsumura T, et al. : <strong>Development</strong> <strong>of</strong> Real-time Tissue<br />

Elastography. MEDIX 41, 30-35, 2004.<br />

Matsumura T, et al. : Diagnostic results <strong>for</strong> breast<br />

disease by real-time elasticity imaging system.<br />

Proceedings<br />

<strong>of</strong> 2004 IEEE Ultrasonics Symposium : 1484-1487, 2004.<br />

N.Nitta, T.Shiina : Estimation <strong>of</strong> Nonlinear Parameter<br />

<strong>of</strong> Tissues by Ultrasound. Japanese Journal <strong>of</strong> Applied<br />

Physics, 41, Part 1, 5B, 3572-3578, 2002.<br />

Waki K, et al. : INVESTIGATION OF STRAIN RATIO<br />

USING ULTRASOUND ELASTOGRAPHY<br />

TECHNIQUE. Proc.ISICE 2007 p449-452<br />

Itoh A, et al. : Clinical application <strong>of</strong> US elastography <strong>for</strong><br />

diagnosis. Radiology, 239 (2) , 341-350, 2006.<br />

Ueno E, et al. : New quantitative method in breast<br />

elastography : Fat Lesion <strong>Ratio</strong> (FLR). Abstracts <strong>of</strong><br />

RSNA 2007 ; LL-BR2123-H04, 2007.<br />

7. Acknowledgments<br />

The assessment <strong>of</strong> <strong>the</strong> clinical usability <strong>of</strong> this technology<br />

during <strong>the</strong> development process—from prototype design to<br />

integration into <strong>the</strong> practical system—has been undertaken<br />

as a collaborative research with Dr. Kazutaka Nakashima <strong>of</strong><br />

Kawasaki Hospital and Dr. Ei Ueno <strong>of</strong> Tsukuba Medical<br />

Center Hospital. We would like to thank everyone<br />

concerned in both hospitals <strong>for</strong> <strong>the</strong>ir contribution to this<br />

project.<br />

*1 Real-time Tissue Elastography; *2 HI VISION Ascendus and<br />

Ascendus are registered trademarks <strong>of</strong> Hitachi Medical Corporation<br />

in Japan and o<strong>the</strong>r countries.<br />

-4-<br />

MEDIX-E004

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