Pedro F. Gouveia, Hélder P. Oliveira, João P. Monteiro, João F. Teixeira, Nuno L. Silva, David Pinto, Carlos Mavioso, João Anacleto, Marta Martinho, Inês Duarte, Jaime S. Cardoso, Fatima Cardoso, Maria João Cardoso
KEYWORDS
Breast cancer · Breast volume · 3D surface scan · Breast MRI · Experimental study · Surgery
ABSTRACT
Introduction: Breast volume estimation is considered crucial for breast cancer surgery planning. A single, easy, and reproducible method to estimate breast volume is not available. This study aims to evaluate, in patients proposed for mastectomy, the accuracy of the calculation of breast volume from a low-cost 3D surface scan (Microsoft Kinect) compared to the breast MRI and water displacement technique. Material and Methods: Patients with a Tis/T1–T3 breast cancer proposed for mastectomy between July 2015 and March 2017 were assessed for inclusion in the study. Breast volume calculations were performed using a 3D surface scan and the breast MRI and water displacement technique. Agreement between volumes obtained with both methods was assessed with the Spearman and Pearson correlation coefficients. Results: Eighteen patients with invasive breast cancer were included in the study and submitted to mastectomy. The level of agreement of the 3D breast volume compared to surgical specimens and breast MRI volumes was evaluated. For mastectomy specimen volume, an average (standard deviation) of 0.823 (0.027) and 0.875 (0.026) was obtained for the Pearson and Spearman correlations, respectively. With respect to MRI annotation, we obtained 0.828 (0.038) and 0.715 (0.018). Discussion: Although values obtained by both methodologies still differ, the strong linear correlation coefficient suggests that 3D breast volume measurement using a low-cost surface scan device is feasible and can approximate both the MRI breast volume and mastectomy specimen with sufficient accuracy. Conclusion: 3D breast volume measurement using a depth-sensor low-cost surface scan device is feasible and can parallel MRI breast and mastectomy specimen volumes with enough accuracy. Differences between methods need further development to reach clinical applicability. A possible approach could be the fusion of breast MRI and the 3D surface scan to harmonize anatomic limits and improve volume delimitation.
© 2021 S. Karger AG, Basel
INTRODUCTION
Breast volume estimation is considered crucial when performing breast cancer surgery planning, as the ratio between tumor volume and breast volume is the swinging pendulum between breast cancer conservative surgery and mastectomy [1, 2]. In cases where mastectomy and immediate breast reconstruction are proposed, breast volume estimation could also be important to address preoperative choices in implant and autologous reconstruction.
In clinical practice, a single, easy, and reproducible method to estimate breast volume is not available. A surgeon’s evaluation is made by subjective observation of the patient’s anatomy. Several methods have been described to calculate breast volume; the anthropomorphic method [3, 4] uses standardized measurements of the thoracic region,
while the Archimedean method [5] is based on water displacement techniques. The Grossman-Roudner measurement device is an alternative, with an adjustable geometrical conical disk into which the breast is placed [6]. Mammograms are a readily available option and have been used with multiple formulas to estimate breast volume [7–10], including measuring and recording height, diameter, and compression thickness. Computed tomography (CT) [11, 12] and magnetic resonance imaging (MRI) [8, 13, 14] are also possible, but have the disadvantage of not being routinely performed for breast cancer diagnosis, thus adding extra cost. 3D photography has been used for volume and projection estimation, mainly for esthetic surgery [15]. The 3D surface scan is a more recent viable option [13, 16–18], but commercially proposed options are still very expensive and its clinical applicability has not been properly tested. The purpose of this work was to evaluate the accuracy of breast volume calculation, in patients proposed for mastectomy, with a low-cost 3D surface scan (Microsoft Kinect) compared to the breast MRI and water displacement technique (the Archimedean method).
MATERIALS & METHODS
Patients with Tis/T1–T3 breast cancer proposed for mastectomy treatment at the Champalimaud Clinical Center, Portugal, between July 2015 and March 2017, were assessed for inclusion in the study (according to the mastectomy specimen volume calculation at baseline). Contraindications included T4 cancer, inflammatory carcinoma, and breast recurrence post-breast conservative treatment. All patients were proposed for image acquisition with breast MRI and 3D surface scanning.
The 3D surface scan was conducted with the patient in the standing position, with hands on hips, capturing the patient’s torso by means of the Microsoft Kinect Sensor® v1.0. Scan acquisition was performed with the sensor in a fixed position with the patient rotating through the sagittal axis plane.



Annotation of the 3D surface scan data was performed by 3 independent raters (A–C), i.e., breast surgeons (Fig. 1). The annotators performed this task with no knowledge of the other measures (i.e., specimen and breast MRI volumes).
Volume calculations were performed considering correspondences between positions in color (RGB) – depth camera space and world space, paired with a convex hull approach to estimate posterior wall of the 3D breast surface scan.
MRI with gadolinium contrast was performed according to institutional protocol, with the patient in the prone position with arms up; annotation, segmentation, and volume computation of the MRI tissue portions with T1 image sequences (Fig. 2) were performed
and validated by 2 radiologists using Horos R software v2.4.0 (breast contour, breast tissue, pectoralis major muscle, anterior border of the latissimus dorsi muscle as the breast external limit, sternum lateral border as the breast internal limit, and clavicle) (Fig. 3).
Surgical specimens were measured, orientated, and weighted in the operating room. Intraoperative volume measurement was performed using the water displacement technique (Archimedean method).
Statistical Analysis
Data are presented as mean and standard deviation (SD) or relative and absolute frequencies. The agreement between the volumes obtained with both methods was assessed with the Pearson and Spearman correlation coefficients. The coefficient of reliability for each rater (intrarater reliability) was calculated. All statistical analyses were calculated with SPSS software v20.0.
RESULTS
Patients
Eighteen patients with invasive breast cancer were included in the study and submitted to mastectomy (bilateral in 1 case), either nipple-sparing (3 patients and 4 specimens), Wise pattern (7 patients), or modified radical mastectomy (8 patients). Their mean age was 57.4 (range 30–86) years.

Volumetric Analysis
The average volume of the 19 mastectomy specimens by water displacement was 393.7 mL (range 95–1,000 mL) (Table 1). Average calculated volumes for breast MRI annotation were 1,008.04 mL (range 178.27–2,233.42 mL). The average breast volume of the 3D reconstructed model was 667.71 (range 121.11–1,587.50), 605.50 (range 100.27–1,585.27), and 625.15 (range 92.07–1,625.01) mL for rater A, B, and C, respectively.
To validate the methodology and the coherence between each rater for the 3D breast surface scan annotation, the level of agreement between them was evaluated by means of the Pearson and Spearman correlation coefficients; an average (SD) of 0.960 (0.020) and 0.914 (0.046), respectively, was obtained, proving that each rater annotated coherently.

The level of agreement of the raters’ calculation of values from the surface scan, surgical specimen, and MRI annotation was also evaluated (Table 2). For mastectomy specimen volume, an average (SD) of 0.823 (0.027) and 0.875 (0.026) was obtained for the Pearson and Spearman correlations, respectively. Concerning MRI annotation, we obtained 0.828 (0.038) and 0.715 (0.018).
The metrics used, as well as the average and SD values obtained, demonstrate a very high consistency by the 3 raters in the baseline volume annotation and when this was compared with the volumes obtained from mastectomy specimens and the MRI data (Table 2). This high level of agreement provided us with great confidence in the designed methodology.
DISCUSSION
Estimating breast volume with different modalities has long been a research focus for improved breast cancer surgery planning, with breast MRI having been considered the gold standard [13]. However, since 3D surface scanning has become available, it is reported to be a valid method for estimating breast volume.
Breast MRI volume calculation is based on breast contour segmentation in each of the MRI slices, and it relies on easily recognizable anatomical structures as reference points. In our series of patients, deploying all 3 methods, the average volume calculated from breast MRI was higher (1,008.04 mL) than that calculated from the 3D surface scan (667.71 mL) and the Archimedean (393.7 mL) method. These results are in line with previous reports, but the mean deviation is higher in our series [10, 13, 19]. The discrepancy in this overestimation is easily explained by annotation constraints of breast MRI external and internal limits. The anterior border of the latissimus dorsi muscle used as an anatomical reference to mark the external limits of the breast does not always correlate with the visible external contouring using the 3D surface scan (Fig. 3). This means that a middle point between the anterior border of the latissimus dorsi muscle and the true external breast contour is very hard to determine, and is thus not a reproducible reference. Previous authors did not describe their methodology or differ on how to define breast boundaries applied to MRI segmentation [10, 13, 19, 20]. The same applies to the inner breast limit and the superior pole limit. This is an important limitation to the automation of breast MRI volume estimation.
Breast volume estimation with the 3D surface scan method between the 3 raters had a highly significant interrater reliability coefficient (Pearson = 0.960; Spearmann = 0.875), confirming previous reports [17, 18]. The average volume calculation from the different raters varied between a maximum of 667.71 mL (rater A) and a minimum of 605.50 mL (rater B). Chest wall estimation is the main constrain when using this method to calculate
breast volume since the convex hull approach may not always accurately detect the anterior chest wall curvature, and it cannot simulate the major and minor pectoralis muscles. As the inframammary fold is not always visible, adopting the lowest visible point in the breast is a viable option (Fig. 1). The upper pole limit can also be difficult to define with a 3D surface scan reconstruction, despite a good agreement between different raters being achieved.
The average volume calculation of the mastectomy surgical specimens attained the lowest estimation of all the methods, i.e., 393.7 mL. Residual breast tissue after mastectomy may explain these differences, along with different mastectomy techniques that will resect different quantities of skin.
Although values obtained by both methodologies still differ, the strong linear correlation coefficient suggests that 3D breast volume measurement using a low-cost surface scanning device, the Microsoft Kinect 1, is feasible and can approximate both the MRI breast volume and mastectomy specimen with sufficient accuracy. These results are aligned with previous reports, and the need for further developments is also conclusion reached by all authors [13, 18, 20–22]. It is well accepted that the influence of the patient’s position on volume calculation is an important limitation when correlating different volume calculations with different imaging modalities. This means that shape analysis needs to be added in the assessment of morphological results to address proper surgical planning. A possible approach could be the fusion of a breast MRI to a 3D surface scan of the patient’s torso, to achieve proper synchronization and a volumetric alignment of the 2 methods [23]. A breast MRI pose-related transformation from the prone to the standing position for acquisition needs to be performed to match the 3D scan shape [23]. This development could pave the way for new clinical applications like breast cancer surgery with augmented reality technology [24].
CONCLUSION
3D breast volume measurement using a depth sensor low-cost surface scan device like Microsoft Kinect is feasible, and it paralleled MRI breast and mastectomy specimen volumes by obtaining an average Pearson coefficient 0.8 in both cases. Differences between methods need further developments to reach clinical applicability in breast cancer surgery with improved planning. A possible approach could be the fusion of a breast MRI to a 3D surface scan to harmonize anatomic limits and improve volume delimitation.
STATEMENT OF ETHICS
This study (reference: Breast 3D) was approved by the Champalimaud Foundation Ethics Committee. Participants’ written informed consent in compliance with the Helsinki Declaration was received. Participants’ written informed consent to publish photos and radiologic images relating to their person was obtained.
CONFLICT OF INTEREST STATEMENT
Fátima Cardoso reports personal financial interest in form of consultancy role for: Amgen, Astellas/Medivation, AstraZeneca, Celgene, Daiichi-Sankyo, Eisai, GE Oncology, Genentech, Glaxo-SmithKline, Macrogenics, Medscape, Merck-Sharp, Merus BV, Mylan, Mundipharma, Novartis, Pfizer, Pierre-Fabre, prIME Oncology, Roche, Samsung Bioepis, Sanofi, Seagen, Teva.
All authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
FUNDING SOURCES
This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.
AUTHOR CONTRIBUTIONS
Study concept: P.F.P.G. Study design: P.F.P.G. and H.P.O. Data acquisition: P.F.P.G., N.L.S., D.P., C.M., J.A., and M.M. Quality control of data and algorithms: P.F.P.G., H.P.O., J.P.M., J.F.T., and I.D. Data analysis and interpretation: P.F.P.G., H.P.O., J.P.M., J.F.T., and I.D. Statistical analysis: P.F.P.G., H.P.O., and I.D. Manuscript preparation and editing: P.F.P.G. and H.P.O. Manuscript review: J.S.C., F.C., and M.J.C.
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