Image Reconstruction from Multiscale Critical Points
نویسندگان
چکیده
A minimal variance reconstruction scheme is derived using derivatives of the Gaussian as filters. A closed form mixed correlation matrix for reconstructions from multiscale points and their local derivatives up to the second order is presented. With the inverse of this mixed correlation matrix, a reconstruction of the image can be easily calculated. Some interesting results of reconstructions from multiscale critical points are presented. The influence of limited calculation precision is considered, using the condition number of the mixed correlation matrix.
منابع مشابه
Content Based Image Retrieval Using Multiscale Top Points
A feasibility study for a new method for content based image retrieval is presented. First, an image representation using multiscale top points is introduced. This representation is validated using a minimal variance reconstruction algorithm. The image retrieval problem can now be translated into comparing distances between point sets. For this purpose the proportional transportation distance (...
متن کاملContent Based Image Retrieval Using Multiscale Top Points A Feasibility Study
A feasibility study for a new method for content based image retrieval is presented. First, an image representation using multiscale top points is introduced. This representation is validated using a minimal variance reconstruction algorithm. The image retrieval problem can now be translated into comparing distances between point sets. For this purpose the proportional transportation distance (...
متن کاملOn Image Reconstruction from Multiscale Top Points
Image reconstruction from a fiducial collection of scale space interest points and attributes (e.g. in terms of image derivatives) can be used to make the amount of information contained in them explicit. Previous work by various authors includes both linear and non-linear image reconstruction schemes. In this paper, the authors present new results on image reconstruction using a top point repr...
متن کاملStochastic Image Reconstruction from Local Histograms of Gradient Orientation
Many image processing algorithms rely on local descriptors extracted around selected points of interest. Motivated by privacy issues, several authors have recently studied the possibility of image reconstruction from these descriptors, and proposed reconstruction methods performing local inference using a database of images. In this paper we tackle the problem of image reconstruction from local...
متن کاملMultiscale methods in signal processing for adaptive optics. (Méthode multi-échelles en traitement du signal pour optique adaptative)
In this thesis, we introduce a new approach to wavefront phase reconstruction in Adaptive Optics (AO) from the low-resolution gradient measurements provided by a wavefront sensor, using a non-linear approach derived from the Microcanonical Multiscale Formalism (MMF). MMF comes from established concepts in statistical physics, it is naturally suited to the study of multiscale properties of compl...
متن کامل