Idealized landmark-based geometric reconstructionsof poorly preserved fossil material: A case study of an early tetrapod vertebra

Three-dimensional (3D) digital models of bone morphology are used frequently in paleontology and anthropology. Because fossils are often fragmentary or distorted, it often becomes necessary, for either aesthetic or practical reasons, to create an idealized version of digital skeletons. We propose a method for building landmark-based geometric reconstructions of fossil bones in 3D graphics software using CT or laser scan data as a template. This method does not require specialized software or artistic expertise. It allows control of local mesh density, specification of important landmarks and major planes, elimination of large holes and extraneous structures, and interactive adjustment of 3D shape by moving a small number of vertices to correct minor taphonomic deformation. The result is a simple, illustrative, and accurate model that can be used for diverse analytical and visualization applications, including reconstructions of incomplete fossils, watertight models for mass and center of mass approximation, base meshes for thin plate spline warping, and intermediates in an incomplete series via “morphing.” To demonstrate the method, we applied it to reconstruct a dorsal vertebra from the basal tetrapod Acanthostega gunnari. We validated our methodology with linear and geometric morphometric comparisons of our reconstructions both against the original scan data and between three different operators. Based upon four linear measurements, the average deviation of the models from the original was minimal, showing that the method preserves the proportions of the original fossil. We found no statistically significant shape difference between models built by different operators, demonstrating that the method is repeatable. Julia L. Molnar. Department of Veterinary Basic Sciences and Structure and Motion Laboratory, The Royal Veterinary College, AL97TA, United Kingdom. jmolnar@rvc.ac.uk Stephanie E. Pierce. University Museum of Zoology, Department of Zoology, University of Cambridge, Cambridge, CB2 3EJ, United Kingdom and Department of Veterinary Basic Sciences and Structure and Motion Laboratory, The Royal Veterinary College, AL97TA, United Kingdom spierce@rvc.ac.uk Jennifer A. Clack. Department of Zoology, University of Cambridge, Cambridge, CB2 3EJ, United Kingdom j.a.clack@zoo.cam.ac.uk PE Article Number: 15.1.2T Copyright: Palaeontological Association February 2012 Submission: 16 March 2011. Acceptance: 22 November 2011 Molnar, Julia L., Pierce, Stephanie E., Clack, Jennifer A., and Hutchinson, John R.. 2012. Idealized landmark-based geometric reconstructions of poorly preserved fossil material: a case study of an early tetrapod vertebra. Palaeontologia Electronica Vol. 15,

[1]  P. Ahlberg,et al.  The origin and early diversification of tetrapods , 1994, Nature.

[2]  Akinori Nagano,et al.  Neuromusculoskeletal computer modeling and simulation of upright, straight-legged, bipedal locomotion of Australopithecus afarensis (A.L. 288-1). , 2005, American journal of physical anthropology.

[3]  L. Witmer,et al.  Using CT to Peer into the Past: 3D Visualization of the Brain and Ear Regions of Birds, Crocodiles, and Nonavian Dinosaurs , 2008 .

[4]  Marcello Ruta,et al.  Fins to limbs: what the fossils say 1 , 2002, Evolution & development.

[5]  Emily J Rayfield,et al.  Patterns of morphospace occupation and mechanical performance in extant crocodilian skulls: A combined geometric morphometric and finite element modeling approach , 2008, Journal of morphology.

[6]  Heinrich Mallison,et al.  The Digital Plateosaurus II: An Assessment of the Range of Motion of the Limbs and Vertebral Column and of Previous Reconstructions using a Digital Skeletal Mount , 2010 .

[7]  K. Angielczyk,et al.  Investigation of simulated tectonic deformation in fossils using geometric morphometrics , 2007, Paleobiology.

[8]  Ian R. Grosse,et al.  The feeding biomechanics and dietary ecology of Australopithecus africanus , 2009, Proceedings of the National Academy of Sciences.

[9]  W. Sellers,et al.  Estimating dinosaur maximum running speeds using evolutionary robotics , 2007, Proceedings of the Royal Society B: Biological Sciences.

[10]  A. Russell,et al.  The Tyrannosaurid metatarsus: Bone strain and inferred ligament function , 2002 .

[11]  Mark D Sutton,et al.  Tomographic techniques for the study of exceptionally preserved fossils , 2008, Proceedings of the Royal Society B: Biological Sciences.

[12]  Heinrich Mallison,et al.  CAD assessment of the posture and range of motion of Kentrosaurus aethiopicus Hennig 1915 , 2010 .

[13]  Rebecca Snyder,et al.  Morphological changes in pedal phalanges through ornithopod dinosaur evolution: A biomechanical approach , 2007, Journal of morphology.

[14]  S. Wroe,et al.  The craniomandibular mechanics of being human , 2010, Proceedings of the Royal Society B: Biological Sciences.

[15]  J. Hutchinson,et al.  Analysis of hindlimb muscle moment arms in Tyrannosaurus rex using a three-dimensional musculoskeletal computer model: implications for stance, gait, and speed , 2005, Paleobiology.

[16]  David I. Lewin Computer-aided paleontology: a new look for dinosaurs , 2002, Comput. Sci. Eng..

[17]  Kent A. Stevens DinoMorph: Parametric modeling of skeletal structures , 2002 .

[18]  Christoph P. E. Zollikofer,et al.  Virtual Reconstruction: A Primer in Computer-Assisted Paleontology and Biomedicine , 2005 .

[19]  Stevens,et al.  Neck posture and feeding habits of two jurassic sauropod dinosaurs , 1999, Science.

[20]  William I. Sellers,et al.  Estimating Mass Properties of Dinosaurs Using Laser Imaging and 3D Computer Modelling , 2009, PloS one.

[21]  W. Sellers,et al.  Sensitivity Analysis in Evolutionary Robotic Simulations of Bipedal Dinosaur Running , 2010 .

[22]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[23]  S. Hoskins,et al.  The Rise of Amphibians: 365 Million Years of Evolution , 2011 .

[24]  William I. Sellers,et al.  Virtual palaeontology: Gait reconstruction of extinct vertebrates using high performance computing , 2009 .

[25]  N. Ogihara,et al.  Computerized restoration of nonhomogeneous deformation of a fossil cranium based on bilateral symmetry. , 2006, American journal of physical anthropology.

[26]  R. M. Alexander Dinosaur biomechanics , 2006, Proceedings of the Royal Society B: Biological Sciences.

[27]  William I. Sellers,et al.  HOW BIG WAS 'BIG AL'? QUANTIFYING THE EFFECT OF SOFT TISSUE AND OSTEOLOGICAL UNKNOWNS ON MASS PREDICTIONS FOR ALLOSAURUS (DINOSAURIA:THEROPODA) , 2009 .

[28]  Fred L. Bookstein,et al.  Landmark methods for forms without landmarks: morphometrics of group differences in outline shape , 1997, Medical Image Anal..

[29]  D. Henderson,et al.  Estimating the masses and centers of mass of extinct animals by 3-D mathematical slicing , 1999, Paleobiology.

[30]  John R. Hutchinson,et al.  Two applications of 3D semi-landmark morphometrics implying different template designs: the theropod pelvis and the shrew skull , 2010 .

[31]  Victor Ng-Thow-Hing,et al.  A 3D interactive method for estimating body segmental parameters in animals: application to the turning and running performance of Tyrannosaurus rex. , 2007, Journal of theoretical biology.

[32]  C Tristan Stayton,et al.  Application of Thin-Plate Spline Transformations to Finite Element Models, or, How to Turn a Bog Turtle into a Spotted Turtle to Analyze Both , 2009, Evolution; international journal of organic evolution.

[33]  R. Motani Estimating body mass from silhouettes: testing the assumption of elliptical body cross-sections , 2001, Paleobiology.

[34]  P. Gunz,et al.  Advances in Geometric Morphometrics , 2009, Evolutionary Biology.

[35]  Zoran Popovic,et al.  The space of human body shapes: reconstruction and parameterization from range scans , 2003, ACM Trans. Graph..

[36]  Marcelo R. de Carvalho,et al.  GAINING GROUND. THE ORIGIN AND EVOLUTION OF TETRAPODS , 2004, Copeia.

[37]  Emily J. Rayfield,et al.  Cranial design and function in a large theropod dinosaur , 2001, Nature.

[38]  Michael I. Coates,et al.  The Devonian tetrapod Acanthostega gunnari Jarvik: postcranial anatomy, basal tetrapod interrelationships and patterns of skeletal evolution , 1996, Transactions of the Royal Society of Edinburgh: Earth Sciences.

[39]  E. Rayfield,et al.  Shape and mechanics in thalattosuchian (Crocodylomorpha) skulls: implications for feeding behaviour and niche partitioning , 2009, Journal of anatomy.

[40]  Bernd Hamann,et al.  Evolutionary morphing , 2005, VIS 05. IEEE Visualization, 2005..

[41]  Martin Isenburg,et al.  Isotropic surface remeshing , 2003, 2003 Shape Modeling International..

[42]  William E. Lorensen,et al.  Decimation of triangle meshes , 1992, SIGGRAPH.

[43]  C. Zollikofer,et al.  New evidence from Le Moustier 1: Computer‐assisted reconstruction and morphometry of the skull , 1999, The Anatomical record.

[44]  R. Martin,et al.  Computer‐assisted paleoanthropology , 1998 .

[45]  THREE-DIMENSIONAL RE-EVALUATION OF THE DEFORMATION REMOVAL TECHNIQUE BASED ON "JIGSAW PUZZLING" , 2008 .

[46]  Gerhard W Weber,et al.  Principles for the virtual reconstruction of hominin crania. , 2009, Journal of human evolution.

[47]  Sibin Xia Isotropic surface remeshing for modern architecture , 2008 .

[48]  R. Motani New technique for retrodeforming tectonically deformed fossils, with an example for ichthyosaurian specimens , 2007 .

[49]  D. Lieberman,et al.  Virtual cranial reconstruction of Sahelanthropus tchadensis , 2005, Nature.

[50]  Todd C. Pataky,et al.  Evolutionary Robotic Approaches in Primate Gait Analysis , 2010, International Journal of Primatology.

[51]  Fred L. Bookstein,et al.  Principal Warps: Thin-Plate Splines and the Decomposition of Deformations , 1989, IEEE Trans. Pattern Anal. Mach. Intell..