Classification of Partial 2-D Shapes Using Fourier Descriptors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital typography: an introduction to type and composition for computer system design
Digital typography: an introduction to type and composition for computer system design
Off-Line Cursive Script Word Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
An algebra of polygons through the notion of negative shapes
CVGIP: Image Understanding
Advanced Engineering Mathematics: Maple Computer Guide
Advanced Engineering Mathematics: Maple Computer Guide
Shape understanding system: 3D interpretation as a part of the visual concept formation
Machine Graphics & Vision International Journal
Configuration products in geometric modeling
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Computer Aided Geometric Design
Applying signal processing techniques to facilitate shape modeling in industrial design
AEE'05 Proceedings of the 4th WSEAS international conference on Applications of electrical engineering
Configuration products and quotients in geometric modeling
Computer-Aided Design
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A simple algebra of shapes with 2D planar regions is developed. The fact that a 2D region can be completely described by a one-dimensional, closed-boundary curve if it is homogeneous is used in the presented approach, which first converts the spatial description of the closed curve into an equivalent Fourier series description and then uses the Fourier-description to define binary composition operations that combine two planar shapes to form another planar shape. It is shown how the geometric system comprising the set of all planar shapes and the composition operations can be mapped onto the algebraic system of linear/vector space.