Connectivity Preserving Voxel Transformation
نویسندگان
چکیده
A three dimensional digital binary image is B26 connected if its set of black voxels is 26-connected, i.e. for all black voxels there exists at least one black voxel among its 26 neighbors. We show that any two such images I and J of c1 and c2 number of connected components respectively and n voxels each, can be transformed into one another maintaining the B26 connectivity of the black voxels by O((c1 + c2)n ) interchanges.
منابع مشابه
Resting-state Functional Connectivity During Controlled Respiratory Cycles Using Functional Magnetic Resonance Imaging
Introduction: This study aimed to assess the effect of controlled mouth breathing during the resting state using functional magnetic resonance imaging (fMRI). Methods: Eleven subjects participated in this experiment in which the controlled “Nose” and “Mouth” breathings of 6 s respiratory cycle were performed with a visual cue at 3T MRI. Voxel-wise seed-to-voxel maps and whole-brain region of i...
متن کاملSignal and noise of Fourier reconstructed fMRI data.
In magnetic resonance imaging, complex-valued measurements are acquired in time corresponding to spatial frequency measurements in space generally placed on a Cartesian rectangular grid. These complex-valued measurements are transformed into a measured complex-valued image by an image reconstruction method. The most common image reconstruction method is the inverse Fourier transform. It is know...
متن کاملOn Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric
Let be an n-dimensional Riemannian manifold, and be its tangent bundle with the lift metric. Then every infinitesimal fiber-preserving conformal transformation induces an infinitesimal homothetic transformation on . Furthermore, the correspondence gives a homomorphism of the Lie algebra of infinitesimal fiber-preserving conformal transformations on onto the Lie algebra of infinitesimal ...
متن کاملA Voxel-based Rendering Pipeline for Large 3D Line Sets
We present a voxel-based rendering pipeline for large 3D line sets that employs GPU ray-casting to achieve scalable rendering including transparency and global illumination effects that cannot be achieved with GPU rasterization. Even for opaque lines we demonstrate superior rendering performance compared to GPU rasterization of lines, and when transparency is used we can interactively render la...
متن کاملIntrinsic Connectivity Contrast: A Novel Contrast Mechanism for Investigating a Wide Range of Brain Disorders
Introduction Functional connectivity mapping using fMRI, first described over 10 years ago by Biswal, has recently gained in popularity. This approach utilizes BOLD fMRI signals obtained with subjects in the resting-state. Brain regions with high resting state connectivity are thought to be involved in the same network and the more well-formed the network, the stronger the connectivity. All of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008