Describing and Matching 2D Shapes by Their Points of Mutual Symmetry

نویسندگان

  • Arjan Kuijper
  • Ole Fogh Olsen
چکیده

A novel shape descriptor is introduced. It groups pairs of points that share a geometrical property that is based on their mutual symmetry. The descriptor is visualized as a diagonally symmetric diagram with binary valued regions. This diagram is a fingerprint of global symmetry between pairs of points along the shape. The descriptive power of the method is tested on a well-known shape data base containing several classes of shapes and partially occluded shapes. First tests with simple, elementary matching algorithms show good results.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Analyzing Symmetry of Objects using Elastic Deformations

We introduce a framework for analyzing symmetry of 2D and 3D objects using elastic deformations of their boundaries. The basic idea is to define spaces of elastic shapes and to compute shortest (geodesic) paths between the objects and their reflections using a Riemannian structure. Elastic matching, based on optimal (nonlinear) re-parameterizations of curves, provides a better registration of p...

متن کامل

On Extending Symmetry Sets for 2D Shapes

Many attempts have been made to represent families of 2D shapes in a simpler way. These approaches lead to so-called structures as the Symmetry Set (SS) and a subset of it, the Medial Axes (MA). While the latter is commonly used, the former is still in the mathematical research stage. One reason for this is that in contrast to the SS, the MA can be computed efficiently and fast, and yields one ...

متن کامل

Ultra-Fast All-Optical Symmetry 4×2 Encoder Based on Interface Effect in 2D Photonic Crystal

This paper deals with the design and simulation of all-optical 4×2 encoderusing the wave interference effect in photonic crystals. By producing 4 opticalwaveguides as input and two waveguides as output, the given structure was designed.The size of the designed structure is 133.9 μm2. The given all-optical encoder has acontrast ratio of 13.2 dB, the response time of 0.45 ...

متن کامل

Delayed shape matching benefits from simplicity and symmetry

The aim of this study was to evaluate the influence of complexity and symmetry on shape recognition, by measuring the recognition of unfamiliar shapes (created using Fourier Boundary Descriptors, FBDs) through a delayed matching task. Between complexity levels the shapes differed in the frequency of the FBDs and within complexity levels in their phase. Shapes were calibrated to be physically eq...

متن کامل

شکل‌گیری فضا در اثر پیوند مفهومی «موسیقی – ریاضی» و معماری (مطالعه‌ی موردی: جلوخان و آسمانهِ گنبدخانهِ مسجدِ شیخ‌لطف‌الله اصفهان)

In traditional architecture, the adherence of architects to the rules and proportions in numbers, geometry and music is present in designing and shaping many public monuments, and mathematical proportions, artistic ratios, or musical proportions are used in geometry of these buildings. Extracting and matching mathematical rules and proportions and examining them in the architecture of the tradi...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006