Segmentation of Heterochromatin Foci Using a 3D Spherical Harmonics Intensity Model
نویسندگان
چکیده
We introduce a 3D model-based approach for automatic segmentation of 3D fluorescent heterochromatin foci from 3D microscopy images. The approach employs a new 3D parametric intensity model based on a spherical harmonics (SH) expansion and can represent foci of regular and highly irregular shapes. By solving a least-squares optimization problem, the model is directly fitted to the 3D image data, and the model parameters including the SH expansion coefficients are estimated. The approach has been successfully applied to real 3D microscopy image data. A visual comparison and a quantitative evaluation show that the new approach yields better results than previous approaches.
منابع مشابه
Frequency-Based Representation of 3D Models using Spherical Harmonics
3D meshes are the most common representation of 3D models. However, surfaces represented by 3D meshes may contain noise or some unrequired details. Multiresolution representations and filtering techniques are very useful in this case. In this paper, we propose a new and compact representation for the surface of a general 3D mesh using the spherical harmonics. This representation can be useful i...
متن کاملDetection of Deformable Objects in 3D Images Using Markov-Chain Monte Carlo and Spherical Harmonics
We address the problem of segmenting 3D microscopic volumetric intensity images of a collection of spatially correlated objects (such as fluorescently labeled nuclei in a tissue). This problem arises in the study of tissue morphogenesis where cells and cellular components are organized in accord with biological role and fate. We formulate the image model as stochastically generated based on bio...
متن کاملNovel Spectral Descriptor for Object Shape
In this paper, we propose a novel descriptor for shapes. The proposed descriptor is obtained from 3D spherical harmonics. The inadequacy of 2D spherical harmonics is addressed and the method to obtain 3D spherical harmonics is described. 3D spherical harmonics requires construction of a 3D model which implicitly represents rich features of objects. Spherical harmonics are used to obtain descrip...
متن کاملShape analysis of left ventricle using spherical harmonics functions
This paper presents an approach for the parameterization of 3D triangular mesh surfaces of spherical topology objects. Our approach is decomposed in two steps. The first step consists in parameterizing the surface by defining a continuous one-to-one mapping from the surface of the object to the surface of a unit sphere [10]. The optimization of initial parameterization is formulated as a constr...
متن کاملThree-Dimensional Finite Element Analysis of Stress Intensity Factors in a Spherical Pressure Vessel with Functionally Graded Coating
This research pertains to the three-dimensional (3D) finite element analysis (FEA) of the stress intensity factors (SIFs) along the crack front in a spherical pressure vessel coated with functionally graded material (FGM). The vessel is subjected to internal pressure and thermal gradient. The exponential function is adopted for property of FGMs. SIFs are obtained for a wide variety of crack sha...
متن کامل