4105
We pose point set matching under rigid and non-rigid transformations in this framework and solve for the transformations using standard nonlinear optimization techniques .
 used for: rigid and non-rigid transformations, point set matching; used for: framework, point set matching; used for: nonlinear optimization techniques, transformations
Given options, please tell me the relationships of all the listed entity pairs.Output format is "relation1: word1, word2; relation2: word3, word4". 
Option: conjunction, feature of, hyponym of, used for, part of, compare, evaluate for 
Text: {0} 
 Entity Pairs:  rigid and non-rigid transformations, point set matching; framework, point set matching; nonlinear optimization techniques, transformations 
Answer:
 used for: rigid and non-rigid transformations, point set matching; used for: framework, point set matching; used for: nonlinear optimization techniques, transformations