Modeling nuclear shape with boundary representation of object

The nucleus shape is of greatly importance for disease diagnosis and cell function. In this paper, a new model for nucleus shape is proposed to more accurately represent it, which mainly contains two components: boundary axis representation and weighted least-squares B-spline fitting. Boundary axis representation is achieved by segmenting the nuclear object extracted from original images into two parts with the major axis and recognizing the object boundary of each part. Then weighted least-squares B-spline fitting is employed to obtain two curves to represent the nucleus shape. Experiments and comparisons demonstrate the effectiveness of the proposed model. Moreover, outliers can be discarded by using weighted idea to remarkably improve the fitting accuracy.