Khalifa Saad Mohamed (20 results)

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Taschenbuch. Condition: Neu. Neuware -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.…

Taschenbuch. Condition: Neu. Neuware - 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.…

Taschenbuch. Condition: Neu. Intersection Curves of Special Surfaces in Euclidean Space | Mohamed Khalifa Saad (u. a.) | Taschenbuch | 128 S. | Englisch | 2016 | Noor Publishing | EAN 9783330797772 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. …

Taschenbuch. Condition: Neu. Differential Geometry | Computational Differential Geometry of Curves and Surfaces and its Applications | Mohamed Khalifa Saad | Taschenbuch | 192 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783844315448 | Verantwortliche Person für die EU: LAP Lambert Academic Publishing, Brivibas Gatve 197, 1039 RIGA, LETTLAND, customerservice[at]vdm-vsg[dot]de | Anbieter: preigu.…

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Taschenbuch. Condition: Neu. Neuware -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. 192 pp. Englisch.…

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In differential geometry of curves, there are many important properties and consequences. In the light of the existing studies, researchers always introduce new curves. Although, the differential geometry of curves in E^3 can be found in many textbooks and in the contemporary literature on geometric modeling, there is little literature in E^3 and hardly in E^4 and E^n in the study of differential geometry of intersection curves. Some intersection curves have been studied by many geometers and obtained some interesting results. Here, we work with one of the important classes of surfaces which are called the implicit surfaces in a four- dimensional Euclidean space E^4. And we present formulas for computing the differential geometry properties of the tangential intersection curve of three implicit surfaces in Euclidean 4-space E^4. These properties include (the tangent T, the principle normal N, the binormal vectors (B1;B2) and the curvatures (1; 2; 3) of the intersection curve). Furthermore, we give examples to explain our main results. 128 pp. Englisch.…

Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Khalifa Saad MohamedLecturer of Computational-Differential Geometry, Mathematics Department, Faculty of Science, Sohag University, Egypt & Mathematics Department, Faculty of Science, Islamic University in Madina, KSA.Dr. H. S. Abdel .…

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 192 pp. Englisch.…

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 192 pp. Englisch.…

Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Khalifa Saad MohamedM.Khalifa Saad: Lecture of Differential-Computational Geometry, Mathematics Department, Sohag University, Sohag,EgyptIn reverse engineering the detection of special classes of curves and surfaces generated by .…

Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In differential geometry of curves, there are many important properties and consequences. In the light of the existing studies, researchers always introduce new curves. Although, the differential geometry of curves in E^3 can be found in many textbooks and in the contemporary literature on geometric modeling, there is little literature in E^3 and hardly in E^4 and E^n in the study of differential geometry of intersection curves. Some intersection curves have been studied by many geometers and obtained some interesting results. Here, we work with one of the important classes of surfaces which are called the implicit surfaces in a four- dimensional Euclidean space E^4. And we present formulas for computing the differential geometry properties of the tangential intersection curve of three implicit surfaces in Euclidean 4-space E^4. These properties include (the tangent T, the principle normal N, the binormal vectors (B1;B2) and the curvatures (1; 2; 3) of the intersection curve). Furthermore, we give examples to explain our main results.Books on Demand GmbH, Überseering 33, 22297 Hamburg 128 pp. Englisch.…

Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 192 pp. Englisch.…