Biomedical computation is an emerging field that includes the use of algorithmic approaches and optimization methods to solve challenging biomedical problems. The problems studied in this field originate from traditional medical image analysis, cancer therapy, computer aided surgery, and a variety of other areas. In this dissertation, we study several such problems motivated from important biomedical imaging applications.Problem 1 (Biplane Imaging Geometry Determination) Given a problem instance I , comprising of two sets of 2D points Left ... Oright and the relative rotation R and translation t relating the coordinate system of Right to the coordinate system of Left1. ... In this section, we review briefly and illustrate the concepts which are important for an appreciation of the solution ... However, in practice, error i will be present, and each acquired projection point (lacquiredpi or racquiredpi) will be at anbsp;...
|Title||:||On Several Geometric Optimization Problems in Biomedical Computation|
|Publisher||:||ProQuest - 2007|