Automatic Landmark Annotation and Dense Correspondence Registration for 3D Human Facial Images Jianya Guo, Xi Mei and Kun Tang*

Automatic Landmark Annotation and Dense Correspondence Registration for 3D Human Facial Images Jianya Guo, Xi Mei and Kun Tang*

Guo et al. BMC Bioinformatics 2013, 14:232 http://www.biomedcentral.com/1471-2105/14/232 METHODOLOGY ARTICLE Open Access Automatic landmark annotation and dense correspondence registration for 3D human facial images Jianya Guo, Xi Mei and Kun Tang* Abstract Background: Traditional anthropometric studies of human face rely on manual measurements of simple features, which are labor intensive and lack of full comprehensive inference. Dense surface registration of three-dimensional (3D) human facial images holds great potential for high throughput quantitative analyses of complex facial traits. However there is a lack of automatic high density registration method for 3D faical images. Furthermore, current approaches of landmark recognition require further improvement in accuracy to support anthropometric applications. Result: Here we describe a novel non-rigid registration method for fully automatic 3D facial image mapping. This method comprises two steps: first, seventeen facial landmarks are automatically annotated, mainly via PCA-based feature recognition following 3D-to-2D data transformation. Second, an efficient thin-plate spline (TPS) protocol is used to establish the dense anatomical correspondence between facial images, under the guidance of the predefined landmarks. We demonstrate that this method is highly accurate in landmark recognition, with an average RMS error of ~1.7 mm. The registration process is highly robust, even for different ethnicities. Conclusion: This method supports fully automatic registration of dense 3D facial images, with 17 landmarks annotated at greatly improved accuracy. A stand-alone software has been implemented to assist high-throughput high-content anthropometric analysis. Keywords: 3D face, Facial morphology, Registration, Landmark localization, Dense correspondence Background brain, which potentially allows functional analyses at Large-scale, high-throughput phenotyping is becoming individual neuron resolution [5]. The soft tissue of the increasingly important in the post-genomics era. Ad- human face is a complex geometric surface composed of vanced image processing technologies are used more many important organs, including eyes, nose, ears, mouth, and more for collecting deep and comprehensive mor- etc. Given its essential biological functions, the human face phological data from different organisms, such as yeast has been a key research subject in a wide range of fields in- [1], plants [2], worm [3] as well as mice [4]; and for dif- cluding anthropology [15], medical genetics [8,9,16,17], fo- ferent body parts such as brain [5,6], lung [7] and face rensics [18,19], psychology [20,21], aging [22,23] and the [8-13]. Especially for the brain 3D image registration, a upcoming quantitative genomics [24,25], etc.. Nonetheless, novel elastic registration (HAMMER) of magnetic reson- for a long period of time period the rich quantitative traits ance images of the brain has greatly facilitated the of face have not been made full use of. Previous anthropo- medical research of brain [6,14]. A recent work that metric studies have been largely based on tedious manual combined florescent labeling and non-rigid registration measurements of dozens of distances between a set of achieved registration accuracy up to 2 μm in drosophila landmarks, which were subjectively determined by the observers’ eyes and were thus error prone and sensitive * Correspondence: [email protected] to individual differences [26-28]. In the past few years, CAS-MPG Partner Institute and Key Laboratory for Computational Biology, Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences, efforts have been paid to discover the genetic determi- Shanghai, China nants of normal facial variations either by examining © 2013 Guo et al.; licensee BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Guo et al. BMC Bioinformatics 2013, 14:232 Page 2 of 12 http://www.biomedcentral.com/1471-2105/14/232 candidate genes or via genome-wide association studies other. A dense registration method has been developed [24,25,29-33]. Although high resolution 3D images were based on TPS, and was successfully used to detect many taken in some of these studies, the landmarks were still face dysmorphology caused by rare genetic defects such as manually annotated [25]; and simple landmark coordi- Noonan, 22q11 deletion, Bardet-Biedl and Smith-Magenis nates or landmark-distances were used as the major syndromes [8-13]. This approach therefore demonstrated phenotype data [24,25,33]. Such practices unavoidably great importance in biological and medical research. How- led to loss of resolution and statistic power. In short, ever, the TPS based registration has a key limitation that the lack of quantitative methods to capture the facial restrained its wide use in large-scale 3D facial datasets: morphology in high definition and full automation has A set of landmarks have to be localized as the anchoring hindered the biological researches in human face. In points before TPS can be carried out. Methods have fact, in the field of computer vision, many technologies been developed to combine ICP-based landmark anno- have been developed for landmark recognition and dense tation and TPS warping to fully automate the registra- point registration. Nonetheless, few have been successfully tion [40,41]. However, the landmark correspondences applied in the biological studies of human face. This is found by ICP are not exactly anatomically homologous, largely due to the different requirements between com- as previously discussed. puter vision and biological studies. Quantitative biological In this study, we develop an automatic registration analyses of face require the face registration to follow the method which combines a novel solution of landmark principle of anatomical correspondence and landmarks localization and an efficient protocol of TPS-based sur- have to be localized at high accuracies. However such rules face registration. The landmark localization mainly em- are often not satisfied in the computer vision methods. For ploys PCA to extract landmarks on surfaces by use of image registration, many methods rely on rigid transform- both shape and texture information. For the surface ation, such as the Iterative Closest Point (ICP) [34]. ICP registration, a new TPS warping protocol that avoids the uses affine transformations, including rotation and transla- complication of inverse TPS warping (a compulsory pro- tion to find the closest corresponding points between two cedure in the conventional registration method) is used surfaces. The registration based on ICP does not fully cap- to resample the meshes according to the reference mesh. ture the anatomical variability, especially when faces to be We show that this method is highly accurate and robust compared differ significantly in shape or expression. For accross different ethnicities. We also propose a new landmark localization, there exist many automatic methods spherical resampling algorithm for re-meshing surfaces [18,35-39]. Landmark localization methods based on ICP which efficiently removes the caveats and improves the suffer from the intrinsic incompatibility with anatomical mesh structure. Furthermore, the associated texture is correspondence [40,41]. At some point, many landmark also included in the registered data for visualization and localization approaches use local, curvature-based facial various analyses. features due to their invariance to surface translation and rotation. The two most frequently adopted features are the Methods HK curvature and the shape index [35-37,42]. However, Ethics statement curvature-based descriptors often suffer from surface ir- Sample collection in this study was carried out in ac- regularities, especially near eye and mouth corners [43]. cordance with the ethical standards of the ethics com- Other studies have used appearance-based methods mittee of the Shanghai Institutes for Biological Sciences where the facial features are modeled by basis vectors (SIBS) and the Declaration of Helsinki, and has been calculated from transformations such as Principal Com- specifically surveyed and approved by SIBS. A written ponent Analysis (PCA) [44,45], Gabor wavelets [46,47], statement of informed consent was obtained from every or the Discrete Cosine Transform (DCT) [39]. However, participant, with his/her authorizing signature. The par- the lowest mean localization errors (root mean square ticipants, whose transformed facial images are used in error, RMS) these approaches can achieve were around this study as necessary illustrations of our methodology, 3 ~ 5 mm [18,35-39], not accurate enough for high reso- have been shown the manuscript and corresponding lution morphometric analyses. figures. Aside from the informed consent for data sam- For biological inference, anatomical correspondence pling, a consent of publication was shown and explained has to be established. This can be achieved by non-rigid to each participant and their authorizing signature was transformations. A common method for deforming 3D sur- obtained as well. faces is the thin-plate spline (TPS) algorithm [48]. The process of using TPS warping involves minimizing a bend- The 3D face data set ing energy function for a transformation over a set of fidu- Three-dimensional

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