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检索条件"任意字段=Curves and Surfaces in Computer Vision and Graphics 1990"

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curves and surfaces 1

引用

丛书名： UNITEXT

1000年

作者： Marco Abate Francesca Tovena

ISBN: (数字)9788847019416

ISBN: (纸本)9788847019409

The book provides an introduction to Differential Geometry of curves and surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theorem of the local theory of curves. Then, after a self-contained presentation of degree theory for continuous self-maps of the circumference, we study the global theory of plane curves, introducing winding and rotation numbers, and proving the Jordan curve theorem for curves of class C2, and Hopf theorem on the rotation number of closed simple curves. The local theory of surfaces begins with a comparison of the concept of parametrized (i.e., immersed) surface with the concept of regular (i.e., embedded) surface. We then develop the basic differential geometry of surfaces in R3: definitions, examples, differentiable maps and functions, tangent vectors (presented both as vectors tangent to curves in the surface and as derivations on germs of differentiable functions; we shall consistently use both approaches in the whole book) and orientation. Next we study the several notions of curvature on a surface, stressing both the geometrical meaning of the objects introduced and the algebraic/analytical methods needed to study them via the Gauss map, up to the proof of Gauss’ Teorema Egregium. Then we introduce vector fields on a surface (flow, first integrals, integral curves) and geodesics (definition, basic properties, geodesic curvature, and, in the complementary material, a full proof of minimizing properties of geodesics and of the Hopf-Rinow theorem for surfaces). Then we shall present a proof of the celebrated Gauss-Bonnet theorem, both in its local and in its global form, using basic properties (fullyproved

关键词： Mathematics, general Differential Geometry Geometry Computational Science and Engineering computer Imaging, vision, Pattern Recognition and graphics

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Image Synthesis 1

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丛书名： computer Science Workbench

1000年

作者： Nadia Magnenat-Thalmann Daniel Thalmann

ISBN: (数字)9784431680604

ISBN: (纸本)9784431680628

is the first book completely dedicated to the numerous techniques of image synthesis. Both theoretical and practical aspects are treated in detail. Numerous impressive computer-generated images are used to explain the most advanced techniques in image synthesis. The book contains a detailed description of the most fundamental algorithms; other less important algorithms are summarized or simply listed. This volume is also a unique handbook of mathematical formulae for image synthesis. The four first chapters of the book survey the basic techniques of computer graphics which play an important role in the design of an image: geometric models, image and viewing transformations, curves and surfaces and solid modeling techniques. In the next chapters, each major topic in image synthesis is presented. The first important problem is the detection and processing of visible surfaces, then two chapters are dedicated to the central problem of light and illumination. As aliasing is a major problem in image rendering, the fundamental antialiasing and motion blur techniques are explained. The most common shadow algorithms are then presented as well as techniques for producing soft shadows and penumbrae. In the last few years, image rendering has been strongly influenced by ray tracing techniques. For this reason, two chapters are dedicated to this important approach. Then a chapter is completely dedicated to fractals from the formal Mandelbrot theory to the recursive subdivision approaches. Natural phenomena present a particularly difficult challenge in image synthesis. For this reason, a large portion of the book is devoted to latest methods to simulate these phenomena: particle systems, scalar fields, volume density scattering models. Various techniques are also described for representing terrains, mountains, water, waves, sky, clouds, fog, fire, trees, and grass. Several techniques for combining images are also explained: adaptive rendering, montage and composite methods. The l

关键词： Image Processing and computer vision computer graphics computer-Aided Engineering (CAD, CAE) and Design

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computer graphics and Geometric Modeling 1

引用

1000年

作者： Max K. Agoston

ISBN: (数字)9781846281082

ISBN: (纸本)9781852338183

Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion.;, covers the computer graphics part of the field of geometric modelling and includes all the standard computer graphics topics. The first part deals with basic concepts and algorithms and the main steps involved in displaying photorealistic images on a computer. The second part covers curves and surfaces and a number of more advanced geometric modelling topics including intersection algorithms, distance algorithms, polygonizing curves and surfaces, trimmed surfaces, implicit curves and surfaces, offset curves and surfaces, curvature, geodesics, blending etc. The third part touches on some aspects of computational geometry and a few special topics such as interval analysis and finite element methods. The volume includes two companion programs.

关键词： Simulation and Modeling computer Imaging, vision, Pattern Recognition and graphics computer graphics Symbolic and Algebraic Manipulation Algebraic Geometry Manifolds and Cell Complexes (incl. Diff.Topology)

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Image Analysis Applications and computer graphics 1

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丛书名： Lecture Notes in computer Science

1000年

ISBN: (数字)9783540492986

ISBN: (纸本)9783540606970

This volume constitutes the refereed proceedings of the Third International computer Science Conference, ICSC '95, held in Hong Kong in December 1995.;ICSC '95 was devoted to computer graphics and image analysis applications. The 55 revised full papers presented together with 21 posters were selected from a total of 155 submissions. The papers are organized in sections on robot navigation and tracking, scientific visualization, feature matching and detection, geometric modeling, document processing and character recognition, rendering, 3D image analysis, image synthesis, biomedical imaging, simulation and animation, curves and surfaces, application systems, and human models.

关键词： computer Applications Theory of Computation computer graphics Image Processing and computer vision Pattern Recognition computer-Aided Engineering (CAD, CAE) and Design

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Advances in computer graphics 1

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丛书名： Focus on computer graphics

1000年

作者： Gérald Garcia Ivan Herman

ISBN: (数字)9783642762864

ISBN: (纸本)9783642762888

This book is a collection of several tutorials from the EUROgraphics '90 conference in Montreux. The conference was held under the motto "IMAGES: Synthesis, Analysis and Interaction", and the tutorials, partly presented in this volume, reflect the conference theme. As such, this volume provides a unique collection of advanced texts on 'traditional' com puter graphics as well as of tutorials on image processing and image reconstruction. As with all the volumes of the series "Advances in computer graphics", the contributors are leading experts in their respective fields. The chapter Design and Display of Solid Models provides an extended introduction to interactive graphics techniques for design, fast display, and high-quality rendering of solid models. The text focuses on techniques for Constructive Solid Geometry (CSG). The follow ing topics are treated in depth: interactive design techniques (specification of curves, surfaces and solids; graphical user interfaces; procedural languages and direct manipulation) and display techniques (depth-buffer, scan-line and ray-tracing techniques; CSG classification techniques; efficiency-improving methods; software and hardware implementations).

关键词： computer graphics Image Processing and computer vision Pattern Recognition computer-Aided Engineering (CAD, CAE) and Design Software Engineering/Programming and Operating Systems

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Combinatorial Image Analaysis 1

引用

丛书名： Lecture Notes in computer Science

1000年

作者： Reneta P. Barneva Valentin E. Brimkov Jake K. Aggarwal

ISBN: (数字)9783642347320

ISBN: (纸本)9783642347313

This volume constitutes the refereed proceedings of the 15th International Workshop on Combinatorial Image Analysis, IWCIA 2012, held in Austin, TX, USA in November 2012. The 23 revised full papers presented were carefully reviewed and selected from numerous submissions. The topics covered include digital geometry, combinatorics in digital spaces, digital curves and surfaces; digital topologyl grammars, transformation, applications; grammars and models in image analysis; picture transformations, morphologic operations, image segmentation; and discrete tomography, applications.

关键词： Image Processing and computer vision computer graphics Pattern Recognition Algorithm Analysis and Problem Complexity Discrete Mathematics in computer Science Numeric Computing

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Mathematical Methods for curves and surfaces 1

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丛书名： Lecture Notes in computer Science

1000年

作者： Morten Dæhlen Tom Lyche Michael Floater Jean-Louis Merrien Knut Mørken Larry L. Schumaker

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Mathematical Methods for curves and surfaces 1

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丛书名： Lecture Notes in computer Science

1000年

作者： Michael Floater Tom Lyche Marie-Laurence Mazure Knut Mørken Larry L. Schumaker

ISBN: (数字)9783642543821

ISBN: (纸本)9783642543814

This volume constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Mathematical Methods for curves and surfaces, MMCS 2012, held in Oslo, Norway, in June/July 2012. The 28 revised full papers presented were carefully reviewed and selected from 135 submissions. The topics range from mathematical analysis of various methods to practical implementation on modern graphics processing units. The papers reflect the newest developments in these fields and also point to the latest literature.

关键词： computer Imaging, vision, Pattern Recognition and graphics computer graphics Simulation and Modeling computer-Aided Engineering (CAD, CAE) and Design Image Processing and computer vision Discrete Mathematics in computer Science

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Geometric Continuity of curves and surfaces 1

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丛书名： Synthesis Lectures on Visual Computing: computer graphics, Animation, Computational Photography and Imaging

1000年

作者： Przemysław Kiciak

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A Blossoming Development of Splines 1

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丛书名： Synthesis Lectures on Visual Computing: computer graphics, Animation, Computational Photography and Imaging

1000年

作者： Stephen Mann

ISBN: (数字)9783031795169

ISBN: (纸本)9783031795152

In this lecture, we study Bézier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bézier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bézier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces.

关键词： Mathematics, general computer Imaging, vision, Pattern Recognition and graphics

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