Eigenfunction of the Laplace operator in +1-dimentional simplex

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mandible shape modeling using the second eigenfunction of the Laplace-Beltrami operator

The second Laplace-Beltrami eigenfunction provides an intrinsic geometric way of establishing natural coordinates for elongated 3D anatomical structures obtained from medical images. The approach is used to establish the centerline of the human mandible from CT and provides automated anatomical landmarks across subjects. These landmarks are then used to quantify the growth pattern of the mandib...

متن کامل

Partial Shape Matching of 3D Models Based on the Laplace-Beltrami Operator Eigenfunction

The comparison and matching based on partial description of the 3D model is the current focus of study in the shape analysis. The partial description based on the eigenfunction of the Laplace-Beltrami operator is an important way. A large number of eigenfunction values of any point on the surface of the model form a eigenvector; based on this vector, K-means clustering method will be used to qu...

متن کامل

Eigenfunctions of the Laplace operator

The study of the Laplace operator and its corresponding eigenvalue problem is crucial to understand the foundations of 3D shape analysis. For that reason the most important mathematical properties of the Laplace operator in Euclidean spaces, its eigenvalues and eigenfunctions are summarized and explained in this report. The basic definitions and concepts of infinite dimensional function spaces,...

متن کامل

Adaptive Discrete Laplace Operator

Diffusion processes capture information about the geometry of an object such as its curvature, symmetries and particular points. The evolution of the diffusion is governed by the Laplace-Beltrami operator which presides to the diffusion on the manifold. In this paper, we define a new discrete adaptive Laplacian for digital objects, generalizing the operator defined on meshes. We study its eigen...

متن کامل

Generalized Eigenfunction Expansions for Operator Algebras^)

A generalized eigenfunction expansion may be regarded as a representation for the spectral theorem by a transform technique. These representations have been presented in many forms, an early version of which was the von Neumann "direct integral" decomposition for a class of operator algebras [l9]. In 1953 [17], Mautner applied the von Neumann technique to the class of operators acting in an L2-...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Vestnik MGSU

سال: 2014

ISSN: 1997-0935,2304-6600

DOI: 10.22227/1997-0935.2014.11.68-73