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A scale model for fitting object shapes from fixed location data |
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| Authors: | Javier Cabrera Kwok-Leung Tsui Ravindra S Goonetilleke |
| Affiliation: | a Department of Statistics, 471 Hill Center, Busch Campus, Rutgers University, Piscataway, NJ, USA b School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA c Department of Industrial Engineering and Engineering Management, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong |
| Abstract: | In this paper we present a scale model for fitting an ideal shape to an object. The measurements of the object are taken corresponding to a fixed coordinate system at a set of well-defined locations on the surface of the object. We propose an algorithm to estimate the model parameters and hypothesis tests to make statistical inferences about several possible special cases of the general model. The model is tested with an example that analyzes data on the feet of people in Hong Kong. |
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