Abstract:Shape analysis is important in anthropology, bioarchaeology and forensic science for interpreting useful information from human remains. In particular, teeth are morphologically stable and hence well-suited for shape analysis. In this work, we propose a framework for tooth morphometry using quasi-conformal theory. Landmark-matching Teichmüller maps are used for establishing a 1-1 correspondence between tooth surfaces with prescribed anatomical landmarks. Then, a quasi-conformal statistical shape analysis model… Show more
“…With the weaker assumption on the global surface correspondence, our approach is applicable to a wider class of shape analysis problems. Figure 8A comparison between our inconsistent surface registration approach and the global landmark-matching quasi-conformal Teichmüller mapping method [54]. Here, the source mesh (leftmost) and the target mesh (second left) are inconsistently segmented.…”
Section: Methodsmentioning
confidence: 99%
“…A comparison between our inconsistent surface registration approach and the global landmark-matching quasi-conformal Teichmüller mapping method [54]. Here, the source mesh (leftmost) and the target mesh (second left) are inconsistently segmented.…”
Section: Methodsmentioning
confidence: 99%
“…For comparison, we consider clustering the 50 specimens into five groups using the Procrustes method [2], the ICP method [64], the TPS method [3], the non-rigid ICP method [65] and the global Teichmüller mapping method [54]. More specifically, we apply the methods to compute the 50 × 50 pairwise mappings and form dissimilarity matrices.…”
In this work, we develop a framework for shape analysis using inconsistent surface mapping. Traditional landmark-based geometric morphometr- ics methods suffer from the limited degrees of freedom, while most of the more advanced non-rigid surface mapping methods rely on a strong assumption of the global consistency of two surfaces. From a practical point of view, given two anatomical surfaces with prominent feature landmarks, it is more desirable to have a method that automatically detects the most relevant parts of the two surfaces and finds the optimal landmark-matching alignment between these parts, without assuming any global 1–1 correspondence between the two surfaces. Our method is capable of solving this problem using inconsistent surface registration based on quasi-conformal theory. It further enables us to quantify the dissimilarity of two shapes using quasi-conformal distortion and differences in mean and Gaussian curvatures, thereby providing a natural way for shape classification. Experiments on Platyrrhine molars demonstrate the effectiveness of our method and shed light on the interplay between function and shape in nature.
“…With the weaker assumption on the global surface correspondence, our approach is applicable to a wider class of shape analysis problems. Figure 8A comparison between our inconsistent surface registration approach and the global landmark-matching quasi-conformal Teichmüller mapping method [54]. Here, the source mesh (leftmost) and the target mesh (second left) are inconsistently segmented.…”
Section: Methodsmentioning
confidence: 99%
“…A comparison between our inconsistent surface registration approach and the global landmark-matching quasi-conformal Teichmüller mapping method [54]. Here, the source mesh (leftmost) and the target mesh (second left) are inconsistently segmented.…”
Section: Methodsmentioning
confidence: 99%
“…For comparison, we consider clustering the 50 specimens into five groups using the Procrustes method [2], the ICP method [64], the TPS method [3], the non-rigid ICP method [65] and the global Teichmüller mapping method [54]. More specifically, we apply the methods to compute the 50 × 50 pairwise mappings and form dissimilarity matrices.…”
In this work, we develop a framework for shape analysis using inconsistent surface mapping. Traditional landmark-based geometric morphometr- ics methods suffer from the limited degrees of freedom, while most of the more advanced non-rigid surface mapping methods rely on a strong assumption of the global consistency of two surfaces. From a practical point of view, given two anatomical surfaces with prominent feature landmarks, it is more desirable to have a method that automatically detects the most relevant parts of the two surfaces and finds the optimal landmark-matching alignment between these parts, without assuming any global 1–1 correspondence between the two surfaces. Our method is capable of solving this problem using inconsistent surface registration based on quasi-conformal theory. It further enables us to quantify the dissimilarity of two shapes using quasi-conformal distortion and differences in mean and Gaussian curvatures, thereby providing a natural way for shape classification. Experiments on Platyrrhine molars demonstrate the effectiveness of our method and shed light on the interplay between function and shape in nature.
“…The described above algorithms, especially referring to orientation (as there are examples of irreversibly destructive sectioning of teeth in "pre-digital" period of anthropological and dental research), work only with 3D images, and they cannot be implemented on real teeth with expectations of comparable stability and accuracy. Though it is not a unique feature of this very methodthere are others: based on shape analysis (Bailey et al, 2014), traditional visual studies (Ortiz et al, 2012) as well as other approaches (Berthaume et al, 2019;Choi et al, 2019). Nevertheless, in line with strong digital component, aDo at the same time preserves relevance to substantive dental morphological structures.…”
Section: Automated Digital Odontometry (Ado)mentioning
Abstract. 3D imaging techniques, which started to be exact in regard to the current study with photogrammetry, have brought to development of measurement method – automated digital odontometry (aDo) – with wider opportunities in terms of understanding morphological characteristics of human (or, non-human) teeth and dentition. Revealing them through odontometric parameters, not as visual descriptions, as it has been accepted for decades and is widespread till today, digital measurement methods provide for various previously unattainable detailed objective studies including descriptions or comparisons. These types of studies, carried out for dental and anthropological applications, are of high demand in palaeoanthropology, especially in cases of rare combination of finding uniqueness and preservation degree with considerations of unusual morphology. Thus odontological samples from the Upper Palaeolithic Sunghir’ (individual C2) are of particular interest in the current study which is aimed to detect distinctive parameters related to morphological features and to compare the degree of feature expression on antimere teeth and teeth with lower degree of that feature expression.
“…At a minimum it is possible to use general advantages of digital methods by application of traditional techniques to 3D reconstructions of tooth surfaces [12]. However more profound surface analysis methods have been used as well in odontological research [13,14,15,16].…”
Morphological studies are carried out predominantly in dental or anthropological research not just because these disciplines are directly related to teeth: dental structures are able to provide a wide-range of important information. Traditional odontological (related to teeth) study techniques can be associated, in general, to descriptive and measuring approaches. Descriptive techniques have been always more developed and compensating scarceness of odontometrics, as traditional manual measurements provide definitely insufficient information for morphological assessments – only approximate size evaluations are possi- ble. However, the presented in the article new non-contact odontometric technique has proved its capability to overcome barriers and to improve dental measuring research through obtaining dense and accurate data of significant diversity and amount to turn quantitative assessments of dental structures into qualitative and related to morphology. The method itself is based on improved interpretation of dental morphology providing two basic stages: orientation of 3D models of teeth and measurements on series of its sections. At the final stage odontometric data is captured, re-calculated and subjected to analyses.
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