
{"publication_number": "US-2006045347-A1", "abstract": "a method of registering and modeling a deformable shape in a digitized image is provided , comprising the steps of providing a measurement matrix w of n measurements of p points of a d - dimensional deformable shape , determining a basis number k for the n measurements , wherein k & lt ; n , and selecting k measurements of said measurement matrix w as a basis set , decomposing said measurement matrix w into a matrix product mx \u2203 b , wherein m is a proposed scaled rotation matrix and b is a proposed basis matrix , computing a matrix q k defined by m i \u2062 q k \u2062 m j t = \u2208 \u03c6 , where \u03c6 stands for | i = 1 , . . . , k ; j = 1 , . . . , n , i\u03b3k 