Geodesic
Shape Computing: A New Geometric Computing Mechanism
Journal for geometry and graphics, Tome 26 (2022) no. 1, pp. 101-114.

Voir la notice de l'article provenant de la source Heldermann Verlag

Graph/image has become an important computing source, object and representing result, and it is also pursued as a representing form for the solution. The processing work of graph/image is mainly geometric computing. A geometrized computing mechanism named �Shape Computing� is proposed. It considers the representation of shape and the generation of graph more from the perspective of geometry itself, which is more conducive to the processing of geometric relations. Hence the algorithm framework can be built from a more macroscopic view, and the computing process is more structured, intuitive and simplified. The general ideas and main strategies of this mechanism are expounded, the framework and implementing strategies are then constructed, application examples along with comparative analysis of computing performance are also given. Compared with current �numeric computing�, Shape Computing is better designed for the fusion of multi-dimensional spaces of �three-dimensional conceptual thinking, two-dimensional graphic construction, one-dimensional numerical calculation�. Theoretical analysis and application examples demonstrate that the proposed Shape Computing contributes to improve the readability, to reduce computational complexity, and to deal with computing robustness.
Classification : 68U05
Mots-clés : Shape computing, geometry, geometric computing, algebraic computing, graphic construction 
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     title = {Shape {Computing:} {A} {New} {Geometric} {Computing} {Mechanism}},
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Y. He; H. Yu; H. Cai; Z. Peng; W. Liu; Z. Hu . Shape Computing: A New Geometric Computing Mechanism. Journal for geometry and graphics, Tome 26 (2022) no. 1, pp. 101-114. http://geodesic.mathdoc.fr/item/JGG_2022_26_1_JGG_2022_26_1_a11/