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Shape Preserving Representations in Computer Aided Geometric Design by Juan M. Pena

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Published by Nova Science Publishers .
Written in English


  • Computer aided design (CAD),
  • Computer graphics software,
  • Image processing: graphics (static images),
  • Computers,
  • Computers - Desktop Publishing,
  • Science/Mathematics,
  • CAD-CAM - General,
  • Computer Graphics - General,
  • Computer graphics,
  • Computer-aided design

Book details:

The Physical Object
FormatLibrary Binding
Number of Pages256
ID Numbers
Open LibraryOL12120101M
ISBN 101560726911
ISBN 109781560726913

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Home Browse by Title Books Mathematical methods in computer aided geometric design Shape preserving representations. chapter. Shape preserving representations. Share on. Author: T. N. T. Goodman. View Profile. Authors Info & Affiliations ; Publication: Mathematical methods in computer aided geometric design June Pages – 6. First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables; Of interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineering. It is well-known that the bases with good shape preserving properties are the normalized totally positive bases and we prove here that T m does not possess normalized totally positive bases. Secondly, we show that the space C m = span{1, cos t, , cos mt } is suitable for design Cited by: COMPUTER-AIDED GEOMETRIC DESIGN JUANM. PENA(ED.) Nova Science Publishers, Inc. Commack, New York. CONTENTS PREFACE vii LIST OF CONTRIBUTORS ix PART I: Shape preserving representations of curves Ch. 1: Introduction to B£zier and spline curves (M. Gasca) 1.

Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form by: COMPUTER AIDED GEOMETRIC DESIGN ELSEVIER Computer Aided Geometric Design 14 () Shape preserving representations for trigonometric polynomial curves J.M. Pefia 1 Departamento de Matemdtica Aplicada, Univemidad de Zaragoza, Zaragoza, Spain Received November ; revised May Abstract This paper has two main by: Shape Preserving Representations Since this last expression is the number of times the line crosses the arc.,., this completes the proof. To see the significance of Theorem 1, we consider some simple conse quences. First, suppose the polygonal arc.,. is Cited by: Curves and Surfaces for Computer Aided Geometric Design (4th edn), Academic Press, San Diego () Shape Preserving Representations in Computer-Aided Geometric Design, Nova Science Publishers, Commack, NY () The NURBS Book (2nd edn), Springer () Google ScholarCited by:

Sederberg T, Lin H and Li X () Curvature of singular Bézier curves and surfaces, Computer Aided Geometric Design, , (), Online publication date: 1-May Walton D and Meek D Cubic Bézier spiral segments for planar G curve design Proceedings of the 7th International Conference on Computer Graphics, Virtual Reality. Description: Shape preservation is one of the fundamental topics in computer aided geometric design. In the few last years there have been important advances in the study of shape preserving representations of curves and surfaces. Shape preserving representations in computer-aided geometric design. Commack, N.Y.: Nova Science Publishers, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Juan M Peña. This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar by: