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About 10,000 papers for “Geometric modeling”

Geometric Modeling

M.E. Mortenson · 1997

A comprehensive, up-to-date presentation of all the indispensable core concepts of geometric modelling. Now completely updated to reflect the most recent developments in the field, Geometric Modelling clearly presents and compares all the important mathematical approaches to modelling curves, surfaces, and solids, and shows how to shape and assemble these elements into more complex models. Its thorough coverage also includes the concomitant geometric processing necessary, e.g., the computation of intersections, offsets, and fillets. Written in a style that is virtually free of the jargon of special applications, this unique book focuses on the essence of geometric modelling and treats it as a discipline in its own right. This integrated approach allows the reader to focus on the principles and logic of geometric modelling without requiring background knowledge of CAD/CAM, computer graphics, or computer programming. Supported by more than 300 illustrations, Geometric Modelling appeals to the reader's visual and intuitive skills in a way that makes understanding the more abstract concepts much easier. This new edition features a host of new application areas, including topology, special effects in cinematography, the design and control of type fonts, and virtual reality, as well as numerous application examples. For computer graphics specialists, application designers and developers, scientific programmers, and advanced students, Geometric Modelling, Second Edition will serve as a complete and invaluable guide to the entire field.

Cited by 0

Geometric modeling

Mortensen, M E · CERN Document Server (European Organization for Nuclear Research) · 1996

Cited by 0

Geometric modeling

David Cox · Regional conference series in mathematics · 2020

Cited by 0

Geometric modeling

Sarfraz, Muhammad · CERN Document Server (European Organization for Nuclear Research) · 2010

Cited by 0

Geometric Texture Modeling

G. Elber · IEEE Computer Graphics and Applications · 2005

Texture mapping has become an essential tool in any synthetic rendering scheme that aims at photorealism. Texture mapping typically associates any point on the surface of the rendered object with a location in the texture space. The surface point is then assigned rendering attributes, such as color or translucency from the respective location found in the texture space. Texture mapping techniques have also been used in attempts to emulate highly detailed geometry on the surfaces of objects. The proposed surface detail synthesis approach closes the loop from modeling to rendering using computer graphics texture mapping techniques, bringing them back into the geometric modeling phase. This article focuses primarily on texturing techniques that relate to shape modeling and surface geometry alteration.

Cited by 35

Fuzzy Geometric Modeling

Abd. Fatah Wahab, Jamaludin Md. Ali, Ahmad Abd. Majid · 2009

Fuzzy geometric modeling provides a useful tool to introduce uncertainty into mathematical spline model. In this paper a new concept of a geometric modeling is presented, based on the theory of fuzzy numbers. By the notion of fuzzy number we introduce fuzzy control point for fuzzy curve and fuzzy surface model for CAGD. We study the properties concerning approximation of fuzzy control points by means of fuzzy Bezier, fuzzy B-spline and fuzzy NURBS.

Cited by 32

CAD: geometric modeling

Yvon Gardan · Cairn.info · 2026

En marche sur le chemin de Saint-Jacques, l’auteur s’arrête à Saint-Alban et évoque l’hôpital François Tosquelles, ce qui fut inventé en cet endroit et la fin des activités psychiatriques dans ce haut lieu de la psychothérapie institutionnelle, où il ne reste plus que le cimetière des fous.

Cited by 0

Geometric surface modeling

Adámková, Barbora · Brno University of Technology Digital Library (Brno University of Technology) · 2015

Tato bakalářská práce se zabývá zobrazením geometrických ploch na počítači v rovnoběžném a středovém promítání. Práce obsahuje část matematické teorie potřebnou pro zavedení daných zobrazení. Jsou zde definovány důležité pojmy jako euklidovský a projektivní prostor, plochy a základní operace. Dále práce obsahuje popis tvorby aplikace pro zobrazení geometrických ploch za~použití vlastních procedur a funkcí (tzv. knihovny) v Delphi 7 a za použití knihovny OpenGL. Výsledkem práce je vlastní realizace popsaných postupů formou vytvoření aplikačního softwaru.

Cited by 0Open access

Algebra-Geometric and Differential Geometric Methods in Solid Geometric Modeling

Peter F. Stiller · Defense Technical Information Center (DTIC) · 1992

This research seeks to address problems in geometric modeling that require sophisticated and powerful techniques from two traditional mathematical disciplines: differential geometry and algebraic geometry. It also concerns the search for algorithms to effectively implement theoretical results in these disciplines.

Cited by 0

Interference-aware geometric modeling

David Harmon, Daniele Panozzo, Olga Sorkine et al. · ACM Transactions on Graphics · 2011

While often a requirement for geometric models, there has been little research in resolving the interaction of deforming surfaces during real-time modeling sessions. To address this important topic, we introduce an interference algorithm specifically designed for the domain of geometric modeling. This algorithm is general, easily working within existing modeling paradigms to maintain their important properties. Our algorithm is fast, and is able to maintain interactive rates on complex deforming meshes of over 75K faces, while robustly removing intersections. Lastly, our method is controllable, allowing fine-tuning to meet the specific needs of the user. This includes support for minimum separation between surfaces and control over the relative rigidity of interacting objects.

Cited by 49

Geometric modeling from sketches

Nicolas Chérin · theses.fr (ABES) · 2015

La modélisation à l'aide de croquis a pour but de construire une forme tridimensionnelle à partir d'un dessin en deux dimensions. L'utilisateur dessine la silhouette de l'objet à reconstruire sur le plan de dessin, puis un algorithme génère automatiquement une forme en 3D à partir de ce croquis. La modélisation par croquis à l’avantage d’être plus simple et plus rapide que la modélisation classique qui requiert l’utilisation de logiciels complexes comme 3DS Max, Maya, Blender, etc. Les applications liées à la modélisation par croquis seraient nombreuses : dans le domaine de l'infographie, la modélisation géométrique pour les jeux vidéo le dessin industriel, les effets spéciaux, etc., serait plus rapide et moins coûteuse. La modélisation à l’aide de croquis pourrait être utilisée par tout le monde. Nous avons tous, un jour ou l’autre, fait un croquis pour expliquer le chemin à prendre pour aller à un lieu précis, un croquis pour l’agencement d’une cuisine et d’une salle de séjour, ou un croquis pour expliquer le fonctionnement d’une machine, etc. Dans ce mémoire de thèse, nous nous intéressons dans un premier temps au problème de la génération de courbes en 3D constituées d’hélices à partir de croquis. Nous présentons deux algorithmes qui traitent ce problème. Puis dans un second temps, nous nous intéressons à la génération de surfaces à partir de croquis et plus particulièrement à la génération de bas-reliefs, ces surfaces ayant l’avantage de ne pas présenter de parties cachées.

Cited by 0Open access

Undulation pipeline geometric modeling.

Weiqing Xu (1279959), Yongwei An (20378325), Shuangjie Yan (20378328) et al. · Figshare · 2024

<div><p>Hydrogen is a clean energy source, and blending it with natural gas in existing pipeline networks is a key transition solution for transportation cost reduction. However, during the transportation process, a non-uniform distribution of hydrogen concentration occurs in the pipeline due to gravity. Therefore, it is necessary to study the hydrogen concentration distribution law of hydrogen-blended natural gas in pipelines. The undulation and ball valve pipelines, which are common in transport pipelines, were constructed in this study. The effects of the undulation angle, height, pipeline diameter, ball valve opening, and temperature on the distribution of the hydrogen concentration were investigated using computational fluid dynamic (CFD) methods. The results indicated that the hydrogen concentration gradient changed gently with the larger diameter of the undulating pipeline, minimizing hydrogen accumulation. Higher undulation angle and smaller height differences reduces the hydrogen accumulation risk. Increasing vertical height difference of the pipeline from 5 m to 15 m increased the hydrogen volume fraction gradient by1.3 times. In the ball valve pipeline, the velocity fluctuation decreased as the ball valve opening increased. However, the hydrogen accumulation phenomenon was obvious. The opening increased from 25% to 100% and the hydrogen volume fraction gradient increased more than two times. Selecting delivery conditions with low hydrogen blending ratios, high temperatures, low pressures, and high flow rates reduces the occurrence of hydrogen buildup in the pipeline.</p></div>

Cited by 0Open access

Geometric modeling research seminar.

Lida Mariana Castañeda Cabrera, Ricardo Calderon Sierra, Andres Mauricio Vera · Universidad Industrial de Santander · 2010

El modelamiento geométrico es el proceso mediante el cual se puede representar gráficamente un objeto utilizando para ello las herramientas de la geometría. Tradicionalmente, el dibujo de objetos con partes curvadas se había apoyado en las que se podrían denominar curvas analíticas para las que existían procedimientos exactos de dibujo. Las cónicas, por ejemplo, fueron incorporadas incluso a sistemas de modelado tridimensional computacionales, dando lugar al término lofting cónico, basado en definir secciones de una superficie mediante cónicas para luego recubrir estas secciones. Gracias al trabajo de unos pocos pioneros provenientes de la industria automotriz se elaboraron los modernos métodos de modelamiento y se adoptó una nueva filosofía de modelamiento basado en curvas no analíticas. También contribuyó el empleo de computadores digitales potentes para que se utilizaran curvas polinomiales compuestas, y aun racionales, descartando otros sistemas de representación. Los ingenieros P. De Casteljau de Citroén y P. Bézier de Renault, desarrollaron separadamente y de forma simultánea, lo que pasaron a llamarse Curvas de Bézier, que fueron publicadas en 1966 por el ingeniero de Renault. En los años 70, algunos autores encontraron la estrecha relación entre las curvas de Bézier y las splines, ya que las primeras eran casos particulares de las conocidas B- Spines. Con esto, se unificó de manera importante la teoría que había hasta el momento.

Cited by 0Open access