2010•Cehui dili xinxiRequires access

3D RECTANGULAR COORDINATE TRANSFORMATION ADAPTED TO ARBITRARY ROTATION ANGLE BASED ON TOTAL LEAST-SQUARES REGRESSION

Xiong Shaolong

Abstract

We propose a simple model for solving 3D rectangular coordination transformation adapted to arbitrary rotation,and give the method based on total least-squares and least-squares to solve this model.A simulation example proves the validity of the model,and different results between total least-squares and least-squares are analyzed.

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Available abstract

Key concepts: Total least squares, Least-squares function approximation, Generalized least squares, Non-linear least squares, Rotation (mathematics), Transformation (genetics), Mathematics, Linear least squares