3D Objects Indexing with a Direct and Analytical Method for Calculating the Spherical Harmonics Coefficients
نویسندگان
چکیده
In this paper, we propose a new method for threedimensional object indexing based on D.A.M.C-S.H.C descriptor (Direct and Analytical Method for Calculating the Spherical Harmonics Coefficients). For this end, we propose a direct calculation of the coefficients of spherical harmonics with perfect precision. The aims of the method are to minimize, the processing time on the 3D objects database and the searching time of similar objects to a request object. Firstly we start by defining the new descriptor using a new division of 3-D object in a sphere. Then we define a new distance which will be tested and prove his efficiency in the search for similar objects in the database in which we have objects with very various and important size. Keywords—3D Object indexing, 3D shape descriptor, spherical harmonic, 3D Object similarity.
منابع مشابه
3D Models Recognition in Fourier Domain Using Compression of the Spherical Mesh up to the Models Surface
Representing 3D models in diverse fields have automatically paved the way of storing, indexing, classifying, and retrieving 3D objects. Classification and retrieval of 3D models demand that the 3D models represent in a way to capture the local and global shape specifications of the object. This requires establishing a 3D descriptor or signature that summarizes the pivotal shape properties of th...
متن کامل3D Objects Indexing Using Spherical Harmonic for Optimum Measurement Similarity
Abstract—In this paper, we propose a method for threedimensional (3-D)-model indexing based on defining a new descriptor, which we call new descriptor using spherical harmonics. The purpose of the method is to minimize, the processing time on the database of objects models and the searching time of similar objects to request object. Firstly we start by defining the new descriptor using a new di...
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 کاملVisualisation of Polynomials Used in Series Expansions
Boltzmann’s Equation describes a myriad of phenomena from gas and fluid flow to electrons in semiconductors and hence plays an essential role in todays physics. However, calculating a solution to this seven-dimensional partial differential equation is very difficult. The high dimensionality of the equation poses a problem for its solution as traversal mechanisms for these high dimensions are no...
متن کاملDetermination of Fiber Direction in High Angular Resolution Diffusion Images using Spherical Harmonics Functions and Wiener Filter
Diffusion tensor imaging (DTI) MRI is a noninvasive imaging method of the cerebral tissues whose fibers directions are not evaluated correctly in the regions of the crossing fibers. For the same reason the high angular resolution diffusion images (HARDI) are used for estimation of the fiber direction in each voxel. One of the main methods to specify the direction of fibers is usage of the spher...
متن کامل