scholarly journals Matching pursuit-based shape representation and recognition using scale-space

2006 ◽  
Vol 16 (5) ◽  
pp. 162-180 ◽  
Author(s):  
François Mendels ◽  
Pierre Vandergheynst ◽  
Jean-Philippe Thiran
Keyword(s):  
Matching Pursuit ◽  
Shape Representation ◽  
Scale Space

Application of the curvature scale space transform to the representation of three-dimensional models

2013 ◽  
Vol 18 (1) ◽  
pp. 23-29
Author(s):  
Dariusz Frejlichowski
Keyword(s):  
Computer Aided Design ◽  
Shape Representation ◽  
Three Dimensional ◽  
Shape Descriptor ◽  
3D Models ◽  
Scale Space ◽  
3D Shape ◽  
Three Dimensional Objects ◽  
Curvature Scale Space ◽  
Planar Shapes

Abstract In this paper an algorithm for the representation of 3D models is described and experimentally evaluated. Three-dimensional objects are becoming very popular recently and they are processed in various ways - analysed, retrieved, recognised, and so on. Moreover, they are employed in various aplications, such as virtual reality, entertainment, Internet, Computer Aided Design, or even in biometrics or medical imaging. That is why the development of appropriate algorithms for the representation of 3D objects is so important recently. These algorithms - so called 3D shape descriptors - are assumed to be invariant to particular transformations and deformations. One of the possible approaches is based on the projections of a 3D object into planar shapes and representation of them using a 2D shape descriptor. An algorithm realising this idea is described in this paper. Its first stage is based on the rendering of 20 2D projections, from various points of view. Later, the obtained projections are stored in a form of bitmaps and the Curvature Scale Space algorithm is applied for the description of the planar shapes extracted from them. The proposed approach is experimentally compared with several other 3D shape representation methods.

scholarly journals A confident scale-space shape representation framework for cell migration detection

2008 ◽  
Vol 231 (3) ◽  
pp. 395-407 ◽  
Author(s):  
K. ZHANG ◽  
H. XIONG ◽  
X. ZHOU ◽  
L. YANG ◽  
Y.-L. WANG ◽  
...  
Keyword(s):  
Cell Migration ◽  
Shape Representation ◽  
Scale Space

MTAR: A ROBUST 2D SHAPE REPRESENTATION

2006 ◽  
Vol 06 (03) ◽  
pp. 421-443 ◽  
Author(s):  
IBRAHIM EL RUBÉ ◽  
NAIF ALAJLAN ◽  
MOHAMED S. KAMEL ◽  
MAHER AHMED ◽  
GEORGE H. FREEMAN
Keyword(s):  
Wavelet Transform ◽  
Shape Representation ◽  
Scale Space ◽  
Object Image ◽  
Affine Transformations ◽  
Scale Level ◽  
Image Library ◽  
Curvature Scale Space ◽  
Robust To Noise ◽  
General Affine

In this paper, a new 2D shape Multiscale Triangle-Area Representation (MTAR) method is proposed. This representation utilizes a simple geometric principle, that is, the area of the triangles formed by the shape boundary points. The wavelet transform is used for smoothing and decomposing the shape boundaries into multiscale levels. At each scale level, a TAR image and the corresponding Maxima-Minima lines are obtained. The resulting MTAR is more robust to noise, less complex, and more selective than similar methods such as the curvature scale-space (CSS). Furthermore, the MTAR is invariant to the general affine transformations. The proposed MTAR is tested and compared to the CSS method using MPEG-7 CE-shape-1 part B and Columbia Object Image Library (COIL-20) datasets. The results show that the proposed MTAR outperforms the CSS method for the conducted tests.

Sign in / Sign up

Export Citation Format

Share Document