Fragmented skull modeling using heat kernels

Yu, Wei; Li, Maoqing; Li, Xin

doi:10.1016/j.gmod.2012.03.011

Cited by 37 publications

(18 citation statements)

References 32 publications

(35 reference statements)

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“…Recently, Chowdhury et al (2009) and Chowdhury and Bhandarkar (2011) attempted to reconstruct a highly fractured mandible based on the automatic registration of manually identified opposing fracture surfaces on the broken bone fragments. Yu et al (2012) proposed an automatic reassembly method for cranial fragments that used a cranium template to guide the reassembly process. The heat kernel signature was used to perform the initial matching between the template and fragments, and the fragments were then repositioned based on fracture curve matching.…”

Section: Introductionmentioning

confidence: 99%

Computerized assembly of neurocranial fragments based on surface extrapolation

Kikuchi

Ogihara

2013

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Fossil crania are often fractured and fragmented due to compaction and diagenesis. To restore the antemortem appearance of a fossil cranium, it is necessary to correctly assemble the fragments into their original anatomical positions. In this study, we propose a concept for computerized reconstruction that employs surface extrapolation to aid the assembly of fossil neurocranial fragments. Specifically, we approximate the surface of each neurocranial fragment using a bicubic Bézier surface to extrapolate the surface and mathematically predict the shape of adjacent fragments. The positions and orientations of adjacent fragments were calculated by minimizing the fitting errors. To evaluate the usefulness of this concept, we virtually divided modern human and chimpanzee neurocrania into pieces and used the proposed method to reassemble the generated virtual fragments. The neurocranial fragments were smoothly and correctly assembled. Comparison of the results obtained using the proposed method and conventional manual assembly revealed that the proposed method delivered similar performance in terms of differences between the original and reassembled shapes. However, the accuracy of the reassembly was found to be worse in the chimpanzee case because the fragments were more curved than those for the human cranium. Although there are some methodological limitations, the proposed concept may be useful for development of digital reassembly of fossil neurocranial fragments.

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Section: Introductionmentioning

confidence: 99%

Computerized assembly of neurocranial fragments based on surface extrapolation

Kikuchi

Ogihara

2013

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“…Skull as a special complex 3D shape, researchers used 3D shape descriptors to extract the characteristics of skulls [19][20][21]. Jin et al [19] used canny operator and the sliding window method for edge detection and boundary tracking to measure the skull similarity measurement.…”

Section: Related Workmentioning

confidence: 99%

“…Jin et al [19] used canny operator and the sliding window method for edge detection and boundary tracking to measure the skull similarity measurement. Yu et al [20] used the heat kernel signature to express and repair the 3D digital skull model. e heat kernel signature (HKS) [21] is derived from the eigenvalues λ i and eigenfunctions ϕ i of the Laplace-Beltrami operator (LBO) [22] on the surface of a Riemann manifold.…”

Section: Related Workmentioning

confidence: 99%

A Synthetic Feature Skull Descriptor for 3D Skull Similarity Measurement

Zhang

Wang

2019

Mathematical Problems in Engineering

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3D skull similarity measurement is a challenging and meaningful task in the fields of archaeology, forensic science, and anthropology. However, it is difficult to correctly and directly measure the similarity between 3D skulls which are geometric models with multiple border holes and complex topologies. In this paper, based on the synthetic feature method, we propose a novel 3D skull descriptor, synthetic wave kernel distance distribution (SWKDD) constructed by the laplace-beltrami operator. By defining SWKDD, we obtain a concise global skull representation method and transform the complex 3D skull similarity measurement into a simple 1D vector similarity measurement. First, we give the definition and calculation of SWKDD and analyse its properties. Second, we represent a framework for 3D skull similarity measurement using the SWKDD of 3D skulls and details of the calculation steps involved. Finally, we validate the effectiveness of our proposed method by calculating the similarity measurement of 3D skulls based on the real craniofacial database.

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“…According to these inflection points, each contour is divided into several segments. Supposed there are N inflection points on a contour, �,�, .. PN'P; = (x ; ,y J , k; is the curvature of contour at point P; , as show in Equation (13). (14) After calculating the curvature of every point on the contour, we compute the curvature difference.…”

Section: Adjacency Detection By Geometric Contoursmentioning

confidence: 99%

“…Funkhouser et al [6], investigated a machine learning method which computes the probability of the matching correctness, combining multiple effective features. In [11,12,13], the authors developed assembly and completion algorithms for 3D fragmented skulls based on template-fragment shape matching and symmetry pattern detection. Their reassembly algorithms can effectively reassemble irregular 3D pieces when template models are available and complete damaged regions on 3D objects with inherent symmetry.…”

Section: Introductionmentioning

confidence: 99%

Color and contour based reconstruction of fragmented image

Youguang

2013

2013 8th International Conference on Computer Science &Amp; Education

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This paper studies the restoration of fragmented 2D digital pictures. Automatic reassembly of image fragments can facilitate many tasks in archaeology, forensics, and digital media. We propose an integrated algorithm for this important yet challenging problem. Our algorithm first determines the adjacency relationship among fragments, then effectively matches subpieces and refines the reassembly iteratively.

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Fragmented skull modeling using heat kernels

Cited by 37 publications

References 32 publications

Computerized assembly of neurocranial fragments based on surface extrapolation

Computerized assembly of neurocranial fragments based on surface extrapolation

A Synthetic Feature Skull Descriptor for 3D Skull Similarity Measurement

Color and contour based reconstruction of fragmented image

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