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Differential Geometry

 

Marketed By :  LAP LAMBERT Academic Publishing   Sold By :  Kamal Books International  
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  • Product Description
 

In reverse engineering the detection of special classes of curves and surfaces generated by Computer Aided Curve and Surface Design often is based on the line congruence of normals and the GAUSS-image of such a surface. For surfaces with a “kinematic generation”, the congruence of normals belongs to a linear complex and this fact allows the detection via a line geometric treatment. Patch detection in case of general spline surfaces is not yet solved successfully. While the patch generation is at most invariant with respect to affine transformation, the normal congruence of the patch is an Euclidean concept. Therefore we can expect that connections between the patch and its congruence turn to be rather complicated already for (algebraic) Bézier surfaces. The analysis of the patch''s normal congruence is only the first step of the far more difficult investigation of a reflection or refraction congruence with respect to a given patch. This problem belonging to geometric optics would have explicit industrial applications, but is not the topic of this book. We restrict ourselves to an analysis of the normal congruence of Bézier patches.

Product Specifications
SKU :COC93749
AuthorMohamed Khalifa Saad
LanguageEnglish
BindingPaperback
Number of Pages192
Publishing Year2011-03-04T00:00:00.000
ISBN978-3844315448
Edition1 st
Book TypeGeometry
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-14 00:00:00