eprintid: 689 rev_number: 15 eprint_status: archive userid: 14 dir: disk0/00/00/06/89 datestamp: 2016-05-16 13:07:58 lastmod: 2016-05-16 13:12:49 status_changed: 2016-05-16 13:12:49 type: report metadata_visibility: show creators_name: Bodurov, V creators_name: Dimov, D. creators_name: Evtimov, G creators_name: Georgiev, I. creators_name: Harizanov, S creators_name: Nikolov, G creators_name: Pirinski, V title: The 2D/3D Best-Fit Problem ispublished: pub subjects: machines subjects: tech_dev studygroups: esgi113 companyname: Sirma Group full_text_status: public abstract: In computer systems, the best-fit problem can be described as a search for the best transformation matrix to transform input mea- sured points from their coordinate system into a CAD model coordinate system using a criteria function for optimization. For example, if the criterion is Mini- mum Sum of Deviations, we search for a transformation matrix M that minimizes the sum of all distances from an matrix-transformed measure points to a CAD model. date: 2014-09 citation: Bodurov, V and Dimov, D. and Evtimov, G and Georgiev, I. and Harizanov, S and Nikolov, G and Pirinski, V (2014) The 2D/3D Best-Fit Problem. [Study Group Report] document_url: http://miis.maths.ox.ac.uk/miis/689/1/2D_3D%20Best-Fit%20Problem.pdf