Three-Dimensional Shape Analysis Using Moments and Fourier Descriptors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fundamental Limitations on Projective Invariants of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Method of Normalization to Determine Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital Picture Processing
Isoperimetric Normalization of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant Standrad Positions of Ordered Sets of Points
CAIP '95 Proceedings of the 6th International Conference on Computer Analysis of Images and Patterns
A New One-Parametric Fitting Method for Planar Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Orthogonal Distance Fitting of Implicit Curves and Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proceedings of the eighteenth annual symposium on Computational geometry
Computer Vision Interaction for Virtual Reality
IBERAMIA '98 Proceedings of the 6th Ibero-American Conference on AI: Progress in Artificial Intelligence
A New Framework of Invariant Fitting
CAIP '99 Proceedings of the 8th International Conference on Computer Analysis of Images and Patterns
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Measuring shape: ellipticity, rectangularity, and triangularity
Machine Vision and Applications
On the choice of consistent canonical form during moment normalization
Pattern Recognition Letters
Concatenate feature extraction for robust 3D elliptic object localization
Proceedings of the 2004 ACM symposium on Applied computing
Texture Analysis by Accurate Identification of Simple Markovian Models
Cybernetics and Systems Analysis
Salient feature extraction of industrial objects for an automated assembly system
Computers in Industry - Special issue: Machine vision
Determination of the Method of Construction of 1650 B.C. Wall Paintings
IEEE Transactions on Pattern Analysis and Machine Intelligence
A two-component rectilinearity measure
Computer Vision and Image Understanding
Salient feature extraction of industrial objects for an automated assembly system
Computers in Industry
Robust fitting of 3D objects by affinely transformed superellipsoids using normalization
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Direct ellipse fitting and measuring based on shape boundaries
PSIVT'07 Proceedings of the 2nd Pacific Rim conference on Advances in image and video technology
Towards artistic minimal rendering
NPAR '10 Proceedings of the 8th International Symposium on Non-Photorealistic Animation and Rendering
Journal on Computing and Cultural Heritage (JOCCH)
Ellipse detection through decomposition of circular arcs and line segments
ICIAP'11 Proceedings of the 16th international conference on Image analysis and processing: Part I
Computational Aesthetics'08 Proceedings of the Fourth Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging
Artistic minimal rendering with lines and blocks
Graphical Models
Simple art as abstractions of photographs
Proceedings of the Symposium on Computational Aesthetics
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The determination of invariant characteristics is an important problem in pattern recognition. Many invariants are known which have been obtained by the method of normalization. In this paper, we introduce a new approach of fitting planar objects by primitives using the method of normalization (for instance: fitting by lines, triangles, rectangles, circles, ellipses, super-quadrics, etc.). Objects and primitives are described by features, for example, by moments. The main advantage is that the normalization process provides us with a canonical frame of the object and the primitive. Therefore, the fit is invariant with respect to the transformation used. By this new method, an analytical fitting of non-analytical objects can be achieved, for example, fitting by polygons. Furthermore, the numerical effort can be reduced drastically by normalizing of the object and the primitive.