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Titlebook: Geometric Constraint Solving and Applications; Beat Brüderlin,Dieter Roller Book 1998 Springer-Verlag Berlin Heidelberg 1998 3D.3D graphic

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Development Aid and Ripeness in Context,We describe a new approach for geometric shape design which his centered around a 2D and 3D geometric constraint solver. This approach enables so-called non-history based modeling providing more flexibility to the designer. The modeler combines geometric and topological constraints, direct manipulation, sketching and Boolean set operations.
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Results and hypotheses assessment,We have developed a formalism to simplify the expression of 3D constraints and their solving. Our formalism makes a strong distinction between metric and projective properties. We represent points, lines and planes in projective space by tensors and use Cayley’s algebra, with the . and . operators, to express projective properties.
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https://doi.org/10.1007/978-1-349-05541-8Curves and surfaces designed in a computer graphics environment have many applications, including the design of cars, airplanes, shipbodies and modelling robots. These free-form objects are an essential part of powerful CAD-systems.
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Desargues: A Constraint-based System for 3D Projective GeometryWe have developed a formalism to simplify the expression of 3D constraints and their solving. Our formalism makes a strong distinction between metric and projective properties. We represent points, lines and planes in projective space by tensors and use Cayley’s algebra, with the . and . operators, to express projective properties.
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