Geometric Analysis of Constrained Curves for Image Understanding

نویسندگان

  • Anuj Srivastava
  • Washington Mio
  • Eric Klassen
  • Xiuwen Liu
چکیده

We offer an overview a novel, comprehensive approach to the computational differential geometry of curves, with applications to shape analysis and discovery/recognition of objects in images. The main idea is to specify a space of curves with constraints suited to the application, and exploit the differential geometry of this space to solve optimization and inference problems. Applications of this approach include the statistical analysis of planar shapes, curve interpolations with elasticae, and the Bayesian discovery of contours of objects in noisy images.

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

An Image Analysis-Based Methodology for Chromite Exploration through Opto-Geometric Parameters; a Case Study in Faryab Area, SE of Iran

Traditional methods of chromite exploration are mostly based on geophysical techniques and drilling operations. They are expensive and time-consuming. Furthermore, they suffer from several shortcomings such as lack of sufficient geophysical density contrast. In order to overcome these drawbacks, the current research work is carried out to introduce a novel, automatic and opto-geometric image an...

متن کامل

Constrained Multi-Objective Optimization Problems in Mechanical Engineering Design Using Bees Algorithm

Many real-world search and optimization problems involve inequality and/or equality constraints and are thus posed as constrained optimization problems. In trying to solve constrained optimization problems using classical optimization methods, this paper presents a Multi-Objective Bees Algorithm (MOBA) for solving the multi-objective optimal of mechanical engineering problems design. In the pre...

متن کامل

Modeling the Operational Speed of Tangents and Curves in Four-lane Highways Based on Geometric and Roadside Factors

Operational speed is an index that represents drivers’ speeding behaviors and shows the comfort and safety levels they experience. Many models had been proposed to predict operational speed in tangent and curve segments of highways. Most of these works had used geometric, with few of them conducted using roadside variables to predict operational speed. Also, the operational speed study in multi...

متن کامل

Best Constrained Multi - degree Reduction of WSGB Curves in L 2 - norm ?

This paper presents a multi-degree reduction approximation algorithm for a usable type of curves in Computer Aided Geometric Design, generalized Ball curves of Wang-Said type in L2-norm, which has many advantages such as explicit expression, endpoint constrains, best approximation and error prediction. The basic idea is by deriving and using the conversion formulas between the WSGB basis and th...

متن کامل

A Gradient Descent Procedure for Variational Dynamic Surface Problems with Constraints

Many problems in image analysis and computer vision involving boundaries and regions can be cast in a variational formulation. This means that m-surfaces, e.g. curves and surfaces, are determined as minimizers of functionals using e.g. the variational level set method. In this paper we consider such variational problems with constraints given by functionals. We use the geometric interpretation ...

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 2003