Topological Repair on Voxel-Based Quadrangular Meshes
نویسندگان
چکیده
In some neuroscience applications it is critical that the representation of anatomical structures is topologically faithful. This is especially important when the topology is known to be equivalent to a sphere. We propose a new approach to repair a voxel-based quadrangular mesh so that it becomes topologically equivalent to a sphere. The approach is graph-based and results in practice in an amount of change that is generally minimal. The algorithm was successfully applied to a database of 977 hand-segmented hippocampi from a study of ageing; spherical topology was achieved for all data sets.
منابع مشابه
Computing two dimensional cross fields - A PDE approach based on the Ginzburg-Landau theory
Cross fields are auxiliary in the generation of quadrangular meshes. A method to generate cross fields on surface manifolds is presented in this paper. Algebraic topology constraints on quadrangular meshes are first discussed. The duality between quadrangular meshes and cross fields is then outlined, and a generalization to cross fields of the Poincaré-Hopf theorem is proposed, which highlights...
متن کاملDiscrete Affine Surfaces based on Quadrangular Meshes
In this paper we are interested in defining affine structures on discrete quadrangular surfaces of the affine three-space. We introduce, in a constructive way, two classes of such surfaces, called respectively indefinite and definite surfaces. The underlying meshes for indefinite surfaces are asymptotic nets satisfying a non-degeneracy condition, while the underlying meshes for definite surface...
متن کاملMesh repair with user-friendly topology control
Limitations of current 3D acquisition technology often lead to polygonal meshes exhibiting a number of geometrical and topological defects which prevent them from widespread use. In this paper we present a new method for model repair which takes as input an arbitrary polygonal mesh and outputs a valid two-manifold triangle mesh. Unlike previous work, our method allows users to quickly identify ...
متن کاملBicubic G1 interpolation of arbitrary quad meshes using a 4-split
We present a piecewise bi-cubic parametric G1 spline surface interpolating the vertices of a quadrangular surface mesh of arbitrary topological type. While tensor product surfaces need a chess boarder parameterization they are not well suited to model surfaces of arbitrary topology without introducing singularities. Our spline surface consists of tensor product patches, but they can be assemble...
متن کاملRealization of Quadrilateral Meshes Partition Key Algorithms Based on Cloud Data
Quadrilateral meshes partition algorithm based on cloud data is proposed in the paper. Quadrangular meshes are generated by means of dynamic edges extending according to the types of the nodes. The strategies are set forth on detecting collisions, optimization process, edges process, the second optimization. The new algorithm improves the quality of meshes and increases the efficiency of the al...
متن کامل