On The Computational Geometry Of Pocket Machining

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On the Computational Geometry of Pocket Machining

Author : Martin Held
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 43,7 Mb
Release : 1991-06-12
Category : Computers
ISBN : 3540541039

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On the Computational Geometry of Pocket Machining by Martin Held Pdf

In this monograph the author presents a thorough computational geometry approach to handling theoretical and practical problems arising from numerically controlled pocket machining. The approach unifies two scientific disciplines: computational geometry and mechanical engineering. Topics of practical importance that are dealt with include the selection of tool sizes, the determination of tool paths, and the optimization of tool paths. Full details of the algorithms are given from a practical point of view, including information on implementation issues. This practice-minded approach is embedded in a rigorous theoretical framework enabling concise statement of definitions and proof of the correctness and efficiency of the algorithms. In particular, the construction of Voronoi diagrams and their use for offset calculations are investigated in great detail. Based on Voronoi diagrams, a graph-like structure is introduced that serves as a high-level abstraction of the pocket geometry and provides the basis for algorithmically performing shape interrogation and path planning tasks. Finally, the efficiency and robustness of the approach is illustrated with figures showing pocketing examples that have been processed by the author's own implementation.

Computational Science and Its Applications - ICCSA 2003

Author : Vipin Kumar
Publisher : Springer Science & Business Media
Page : 982 pages
File Size : 43,7 Mb
Release : 2003-05-08
Category : Computers
ISBN : 9783540401568

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Computational Science and Its Applications - ICCSA 2003 by Vipin Kumar Pdf

The three-volume set, LNCS 2667, LNCS 2668, and LNCS 2669, constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2003, held in Montreal, Canada, in May 2003. The three volumes present more than 300 papers and span the whole range of computational science from foundational issues in computer science and mathematics to advanced applications in virtually all sciences making use of computational techniques. The proceedings give a unique account of recent results in computational science.

Advances in Discrete and Computational Geometry

Author : Bernard Chazelle,Jacob E. Goodman,Richard Pollack
Publisher : American Mathematical Soc.
Page : 463 pages
File Size : 51,8 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821806746

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Advances in Discrete and Computational Geometry by Bernard Chazelle,Jacob E. Goodman,Richard Pollack Pdf

This volume is a collection of refereed expository and research articles in discrete and computational geometry written by leaders in the field. Articles are based on invited talks presented at the AMS-IMS-SIAM Summer Research Conference, ``Discrete and Computational Geometry: Ten Years Later'', held in 1996 at Mt. Holyoke College (So. Hadley, MA). Topics addressed range from tilings, polyhedra, and arrangements to computational topology and visibility problems. Included are papers on the interaction between real algebraic geometry and discrete and computational geometry, as well as on linear programming and geometric discrepancy theory.

Handbook of Discrete and Computational Geometry, Second Edition

Author : Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Publisher : CRC Press
Page : 1557 pages
File Size : 43,8 Mb
Release : 2004-04-13
Category : Mathematics
ISBN : 9781420035315

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Handbook of Discrete and Computational Geometry, Second Edition by Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman Pdf

While high-quality books and journals in this field continue to proliferate, none has yet come close to matching the Handbook of Discrete and Computational Geometry, which in its first edition, quickly became the definitive reference work in its field. But with the rapid growth of the discipline and the many advances made over the past seven years, it's time to bring this standard-setting reference up to date. Editors Jacob E. Goodman and Joseph O'Rourke reassembled their stellar panel of contributors, added manymore, and together thoroughly revised their work to make the most important results and methods, both classic and cutting-edge, accessible in one convenient volume. Now over more then 1500 pages, the Handbook of Discrete and Computational Geometry, Second Edition once again provides unparalleled, authoritative coverage of theory, methods, and applications. Highlights of the Second Edition: Thirteen new chapters: Five on applications and others on collision detection, nearest neighbors in high-dimensional spaces, curve and surface reconstruction, embeddings of finite metric spaces, polygonal linkages, the discrepancy method, and geometric graph theory Thorough revisions of all remaining chapters Extended coverage of computational geometry software, now comprising two chapters: one on the LEDA and CGAL libraries, the other on additional software Two indices: An Index of Defined Terms and an Index of Cited Authors Greatly expanded bibliographies

CG International ’90

Author : Tat-Seng Chua,Tosiyasu L. Kunii
Publisher : Springer Science & Business Media
Page : 591 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9784431681236

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CG International ’90 by Tat-Seng Chua,Tosiyasu L. Kunii Pdf

In recent years, we have witnessed an increasing use of sophisticated graphics in designing and manufacturing complex architectural and engineering systems; in modeling, simulating and visualizing complicated physical processes; in generating, highly realistic images and animation; and, in most man-machine interfaces. These trends are made possible by the improvement in performance and the lowering of cost of hardware since the mid 1970s, and the continuing advances in many areas of computer graphics. The major advances in computer graphics include: greater sophistication and realism of image generation techniques, improved man-machine interaction techniques, superior geometric modeling techniques for the representation and modeling of complex physical and mathematical objects, sophisticated software systems for animation and modeling of incorporating latest AI and software engineering techniques, greater integration of CAD and CAM in CIM, and techniques to represent and visualize complicated physical processes. These advances are reflected in this present volume either as papers dealing with one particular aspect of research, or as multifaceted studies involving several different areas.

Algorithms - ESA 2006

Author : Yossi Azar
Publisher : Springer Science & Business Media
Page : 859 pages
File Size : 47,6 Mb
Release : 2006-08-31
Category : Computers
ISBN : 9783540388753

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Algorithms - ESA 2006 by Yossi Azar Pdf

This book constitutes the refereed proceedings of the 14th Annual European Symposium on Algorithms, ESA 2006, held in Zurich, Switzerland, in September 2006, in the context of the combined conference ALGO 2006. The 70 revised full papers presented together with abstracts of 3 invited lectures were carefully reviewed and selected from 287 submissions. The papers address all current subjects in algorithmics, reaching from design and analysis issues of algorithms over to real-world applications and engineering of algorithms in various fields.

Advanced Numerical Methods to Optimize Cutting Operations of Five Axis Milling Machines

Author : Stanislav S. Makhanov,Weerachai Anotaipaiboon
Publisher : Springer Science & Business Media
Page : 206 pages
File Size : 45,6 Mb
Release : 2007-04-18
Category : Mathematics
ISBN : 9783540711216

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Advanced Numerical Methods to Optimize Cutting Operations of Five Axis Milling Machines by Stanislav S. Makhanov,Weerachai Anotaipaiboon Pdf

This book presents new optimization algorithms designed to improve the efficiency of tool paths for five-axis NC machining of sculptured surfaces. The book covers both the structure of the SLAM problem in general and proposes a new extremely efficient approach. It can be used by undergraduate and graduate students and researchers in the field of NC machining and CAD/CAM as well as by corporate research groups for advanced optimization of cutting operations.

Computational Science - Iccs 2001

Author : Vassil Alexandrov
Publisher : Springer Science & Business Media
Page : 1294 pages
File Size : 40,7 Mb
Release : 2001-05-24
Category : Computers
ISBN : 9783540422327

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Computational Science - Iccs 2001 by Vassil Alexandrov Pdf

LNCS volumes 2073 and 2074 contain the proceedings of the International Conference on Computational Science, ICCS 2001, held in San Francisco, California, May 27 -31, 2001. The two volumes consist of more than 230 contributed and invited papers that reflect the aims of the conference to bring together researchers and scientists from mathematics and computer science as basic computing disciplines, researchers from various application areas who are pioneering advanced application of computational methods to sciences such as physics, chemistry, life sciences, and engineering, arts and humanitarian fields, along with software developers and vendors, to discuss problems and solutions in the area, to identify new issues, and to shape future directions for research, as well as to help industrial users apply various advanced computational techniques.

Sculptured Surface Machining

Author : Byoung K. Choi,Robert B. Jerard
Publisher : Springer Science & Business Media
Page : 377 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461552833

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Sculptured Surface Machining by Byoung K. Choi,Robert B. Jerard Pdf

This essential book documents the latest research progress and key issues affecting SSM software development. With a particular focus on the CAD/CAM environment, it provides a rich source of reference and covers a wide range of topics.

Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms

Author : Anonim
Publisher : SIAM
Page : 608 pages
File Size : 43,7 Mb
Release : 1996-01-01
Category : Mathematics
ISBN : 0898713668

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Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms by Anonim Pdf

This text covers the proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, which was held in Atlanta, Georgia, in January 1996.

CAD/CAM of Sculptured Surfaces on Multi-Axis NC Machine

Author : Stephen Radzevich
Publisher : Springer Nature
Page : 113 pages
File Size : 54,6 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031793127

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CAD/CAM of Sculptured Surfaces on Multi-Axis NC Machine by Stephen Radzevich Pdf

Many products are designed with aesthetic sculptured surfaces to enhance their appearance, an important factor in customer satisfaction, especially for automotive and consumer electronics products. In other cases, products have sculptured surfaces to meet functional requirements. Functional surfaces interact with the environment or with other surfaces. Because of this, functional surfaces can also be called dynamic surfaces. Functional surfaces do not possess the property to slide over itself, which causes significant complexity in machining of sculptured surfaces. The application of multiaxis numerically controlled (NC) machines is the only way for an efficient machining of sculptured surfaces. Reduction of machining time is a critical issue when machining sculptured surfaces on multiaxis NC machines. To reduce the machining cost of a sculptured surface, the machining time must be as short as possible. Table of Contents: Introduction / Analytical Representation of Scupltured Surfaces / Kinematics of Sculptured-Surface Machining / Analytical Description of the Geometry of Contact of the Sculptured Surface and of the Generating Surface of the Form-Cutting Tool / Form-Cutting Tools of Optimal Design / Conditions of Proper Sculptured-Surface Generation / Predicted Accuracy of the Machined Sculptured Surface / Optimal Sculptured-Surface Machining

Computational Line Geometry

Author : Helmut Pottmann,Johannes Wallner
Publisher : Springer Science & Business Media
Page : 572 pages
File Size : 41,9 Mb
Release : 2009-12-16
Category : Mathematics
ISBN : 9783642040184

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Computational Line Geometry by Helmut Pottmann,Johannes Wallner Pdf

From the reviews: " A unique and fascinating blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design. The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a shear pleasure to read, or even to just browse in." Mathematical Reviews

Machining Impossible Shapes

Author : Gustav J. Olling,Byoung K. Choi,Robert B. Jerard
Publisher : Springer
Page : 390 pages
File Size : 46,9 Mb
Release : 2013-03-20
Category : Technology & Engineering
ISBN : 9780387353920

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Machining Impossible Shapes by Gustav J. Olling,Byoung K. Choi,Robert B. Jerard Pdf

On November 9-11, 1998,85 participants, representing 17 countries, gathered in Aubum Hills, Michigan, at the Chrysler Tech Center, to attend a workshop "SSM'98" (or Sculptured Surface Machining '98) organized by IFIP Working Group 5.3. This was the first major workshop on sculptured surface machining since the CAM-I sponsored conference "Machining Impossible Surfaces" held in 1981. The purpose of the SSM'98 workshop, entitled "Machining Impossible Shapes", was to promote a cross-fertilization of ideas among three communities: industrial users, CAM software developers and academic researchers. There were 17 participants who were "industrial users", 15 represented CAM software developers, 4 were from the machine tool industry, with the remainder being academic researchers. The format of the meeting included 40 presentations in 9 sessions, 4 keynote speeches and a sufficient amount of time for informal discussion amongst the participants. One of the most valuable aspects of the workshop was the opportunity for participants to meet informally and to discuss their mutual interests. This led to two "participant organized" sessions on five axis machining and on machine tool controllers.

Geometric and Algorithmic Aspects of Computer-aided Design and Manufacturing

Author : Ravi Janardan,Michiel Smid,Debasish Dutta
Publisher : American Mathematical Soc.
Page : 372 pages
File Size : 48,5 Mb
Release : 2024-06-06
Category : Mathematics
ISBN : 0821871099

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Geometric and Algorithmic Aspects of Computer-aided Design and Manufacturing by Ravi Janardan,Michiel Smid,Debasish Dutta Pdf

Computer-Aided Design and Manufacturing (CAD/CAM) is concerned with all aspects of the process of designing, prototyping, manufacturing, inspecting, and maintaining complex geometric objects under computer control. As such, there is a natural synergy between this field and Computational Geometry (CG), which involves the design, analysis, implementation, and testing of efficient algorithms and data representation techniques for geometric entities such as points, polygons, polyhedra, curves, and surfaces. The DIMACS Center (Piscataway, NJ) sponsored a workshop to further promote the interaction between these two fields. Attendees from academia, research laboratories, and industry took part in the invited talks, contributed presentations, and informal discussions. This volume is an outgrowth of that meeting.

Handbook of Computational Geometry

Author : J.R. Sack,J. Urrutia
Publisher : Elsevier
Page : 1075 pages
File Size : 42,6 Mb
Release : 1999-12-13
Category : Mathematics
ISBN : 0080529682

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Handbook of Computational Geometry by J.R. Sack,J. Urrutia Pdf

Computational Geometry is an area that provides solutions to geometric problems which arise in applications including Geographic Information Systems, Robotics and Computer Graphics. This Handbook provides an overview of key concepts and results in Computational Geometry. It may serve as a reference and study guide to the field. Not only the most advanced methods or solutions are described, but also many alternate ways of looking at problems and how to solve them.