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Generalizes Procrustes Surface Analysis: A Landmark-Free Approach to Superimposition and Shape Analysis

The tools and techniques used in shape analysis have constantly evolved, but their objective remains fixed: to quantify the differences in shape between two objects in a consistent and meaningful manner. The hand-measurements of calipers and protractors of the past have yielded to laser scanners and landmark-placement software, but the process still involves transforming an object's physical shape into a concise set of numerical data that can be readily analyzed by mathematical means [Rohlf 1993]. In this paper, we present a new method to perform this transformation by taking full advantage of today's high-power computers and high-resolution scanning technology. This method uses surface scans to calculate a shape-difference metric and perform superimposition rather than relying on carefully (and tediously) placed manual landmarks. This is accomplished by building upon and extending the Iterative Closest Point algorithm. We also examine some new ways this data may be used; we can, for example, calculate an averaged surface directly and visualize point-wise shape information over this surface. Finally, we demonstrate the use of this method on a set of primate skulls and compare the results of the new methodology with traditional geometric morphometric analysis. / A Thesis submitted to the Department of Scientific Computing in partial fulfillment of the requirements for the
degree of Master of Science. / Fall Semester, 2013. / October 11, 2013. / GPSA, Heat Maps, ICP, Morphometrics, Procrustes / Includes bibliographical references. / Dennis Slice, Professor Directing Thesis; Peter Beerli, Committee Member; Sachin Shanbhag, Committee Member.

Identiferoai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_253519
ContributorsPomidor, Benjamin (authoraut), Slice, Dennis (professor directing thesis), Beerli, Peter (committee member), Shanbhag, Sachin (committee member), Department of Scientific Computing (degree granting department), Florida State University (degree granting institution)
PublisherFlorida State University, Florida State University
Source SetsFlorida State University
LanguageEnglish, English
Detected LanguageEnglish
TypeText, text
Format1 online resource, computer, application/pdf
RightsThis Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them.

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