Minimum Distance between Pattern Transformation Manifolds: Algorithm and Applications

نویسندگان
چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Separable Distance Transformation and its Applications

Metric based description and analysis of shapes a fundamental notion in image analysis and processing. Among classical tools, the distance transform (DT) [54, 39] of a binary image I : Zd → {0,1} consists in labeling each point of a digital object E, defined as pixels with value 1 for instance on I, with its shortest distance to the complement of E. In the literature, DT has been widely used as...

متن کامل

On the Curvature of Pattern Transformation Manifolds: Numerical Estimation and Applications

This paper addresses the numerical estimation of the principal curvature of pattern transformation manifolds. When a visual pattern undergoes a geometric transformation, it forms a (sub)manifold in the ambient space, which is usually called the transformation manifold. The manifold curvature is an important property characterizing the manifold geometry, with several applications in manifold lea...

متن کامل

Transformation Invariance in Pattern Recognition - Tangent Distance and Tangent Propagation

In pattern recognition, statistical modeling, or regression, the amount of data is the most critical factor a ecting the performance. If the amount of data and computational resources are near in nite, many algorithms will provably converge to the optimal solution. When this is not the case, one has to introduce regularizers and a-priori knowledge to supplement the available data in order to bo...

متن کامل

Learning Pattern Transformation Manifolds with Parametric Atom Selection

We address the problem of building a manifold in order to represent a set of geometrically transformed images by selecting a good common sparse approximation of them with parametric atoms. We propose a greedy method to construct a representative pattern such that the total distance between the transformation manifold of the representative pattern and the input images is minimized. In the progre...

متن کامل

Transformation invariance in pattern recognition: Tangent distance and propagation

In pattern recognition, statistical modeling, or regression, the amount of data is a critical factor affecting the performance. If the amount of data and computational resources are unlimited, even trivial algorithms will converge to the optimal solution. However, in the practical case, given limited data and other resources, satisfactory performance requires sophisticated methods to regularize...

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

ژورنال

عنوان ژورنال: IEEE Transactions on Pattern Analysis and Machine Intelligence

سال: 2009

ISSN: 0162-8828

DOI: 10.1109/tpami.2008.156