Reconstruction and higher-dimensional geometry
نویسنده
چکیده
Tutte proved that, if two graphs, both with more than two vertices, have the same collection of vertex-deleted subgraphs, then the determinants of the two corresponding adjacency matrices are the same. In this paper, we give a geometric proof of Tutte’s theorem using vectors and angles. We further study the lowest eigenspaces of these adjacency matrices.
منابع مشابه
Target detection The Simulation Analysis of the Effect of Imaging Sidelap/Overlap on the Quality of 3D Reconstruction in UAV Photogrammetry and Determination of their Optimal Values
The selection of effective and optimal sidelap/overlap of images according to the quality, speed, cost and purpose of each UAV photogrammetric project is considered as an important parameter. Since two decades ago, several researches have been carried out based on a trial and error strategy for this purpose, in which different drones and cameras have been utilized for imaging with different sid...
متن کاملA Time-Domain Method for Shape Reconstruction of a Target with Known Electrical Properties (RESEARCH NOTE)
This paper uses a method for shape reconstruction of a 2-D homogeneous object with arbitrary geometry and known electrical properties. In this method, the object is illuminated by a Gaussian pulse, modulated with sinusoidal carrier plane wave and the time domains’ footprint signal due to object presence is used for the shape reconstruction. A nonlinear feedback loop is used to minimize the diff...
متن کاملThree-dimensional reconstruction of New Zealand rabbit antebrachium by multidetector computed tomography
The aim of this study was to reveal biometric peculiarities of New Zealand white rabbit antebrachium (radius and ulna) by means of three-dimensional (3D) reconstruction of multidetector computed tomography (MDCT) images. Under general anesthesia, the antebrachiums of a total of sixteen rabbits of both sexes were scanned with a general diagnostic MDCT. Biometric measurements of the reconstructed...
متن کاملAnalysis of the Geometry of the Distal Femur and Proximal Tibia in the Osteoarthritic Knee: A 3D Reconstruction CT Scan Based Study of 449 Cases
Background: The aim of this study is to evaluate the geometry of the distal femur and the proximal tibia in the osteoarthritic knee using 3D reconstructive CT scan imaging. Methods: 449 patients with knee osteoarthritis were treated surgically in our center with patient-specific technology total knee arthroplasty. Preoperatively, all the patients underwent a CT scan according to a standard ...
متن کاملReconstructing Internal Temperature Distributions from Ultrasonic Time-of-Flight Tomography and Dimensional Resonance Measurements
Two ultrasonic techniques for reconstructing the internal temperature distribution in metal bodies-timeof-flight tomography and dimensional resonance profiling-are described. An analysis of the tomographic reconstruction of temperature (including ray refraction effects) in a cylindrical body is presented together with initial experimental results. Dimensional resonance profiling is a new techni...
متن کاملCone-Beam Reconstruction Using Filtered Backprojection
The art of medical computed tomography is constantly evolving and the last years have seen new ground breaking systems with multi-row detectors. These tomographs are able to increase both scanning speed and image quality compared to the single-row systems more commonly found in hospitals today. This thesis deals with three-dimensional image reconstruction algorithms to be used in future generat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. Comb. Theory, Ser. B
دوره 97 شماره
صفحات -
تاریخ انتشار 2007