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Assessment of Shape Changes of Mistletoe Berries: A New Software Approach to Automatize the Parameterization of Path Curve Shaped Contours
Authors:Renatus Derbidge  Linus Feiten  Oliver Conradt  Peter Heusser  Stephan Baumgartner
Affiliation:1. Centre for Integrative Medicine, University of Witten/Herdecke, Witten, Germany.; 2. Research Institute at the Goetheanum, Science Section, Dornach, Switzerland.; 3. Faculty of Engineering, Chair of Computer Architecture, University of Freiburg, Freiburg, Germany.; 4. Section for Mathematics and Astronomy, Goetheanum, Dornach, Switzerland.; 5. Hiscia Institute, Society for Cancer Research, Arlesheim, Switzerland.; Pennsylvania State University, United States of America,
Abstract:Photographs of mistletoe (Viscum album L.) berries taken by a permanently fixed camera during their development in autumn were subjected to an outline shape analysis by fitting path curves using a mathematical algorithm from projective geometry. During growth and maturation processes the shape of mistletoe berries can be described by a set of such path curves, making it possible to extract changes of shape using one parameter called Lambda. Lambda describes the outline shape of a path curve. Here we present methods and software to capture and measure these changes of form over time. The present paper describes the software used to automatize a number of tasks including contour recognition, optimization of fitting the contour via hill-climbing, derivation of the path curves, computation of Lambda and blinding the pictures for the operator. The validity of the program is demonstrated by results from three independent measurements showing circadian rhythm in mistletoe berries. The program is available as open source and will be applied in a project to analyze the chronobiology of shape in mistletoe berries and the buds of their host trees.
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