Last edited by Akirisar
Saturday, May 9, 2020 | History

5 edition of Curve and Surface Design/Curve and Surface Fitting found in the catalog.

Curve and Surface Design/Curve and Surface Fitting

Saint-Malo 1999 (Innovations in Applied Mathematics)

  • 144 Want to read
  • 21 Currently reading

Published by Vanderbilt University Press .
Written in English

    Subjects:
  • Applied mathematics,
  • Probability & statistics,
  • Engineering - General,
  • Technology,
  • Computers - Desktop Publishing,
  • Science/Mathematics,
  • CAD-CAM - General

  • Edition Notes

    ContributionsLarry L. Schumaker (Editor), Pierre-Jean Laurent (Editor), Paul Sablonniere (Editor), Albert Cohen (Editor), Christophe Rabut (Editor)
    The Physical Object
    FormatHardcover
    Number of Pages1030
    ID Numbers
    Open LibraryOL8169792M
    ISBN 100826513581
    ISBN 109780826513588
    OCLC/WorldCa228268003

    I have a python code, which calculates z values dependent on x and y values. All in all, I have 7 x- and 7 y- values as well as 49 z-values. Now, I would like to fit a polynomial surface . The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering and medicine) with many interesting applications. This book describes the algorithms and mathematical fundamentals of a widely used software package for data fitting with (tensor product) splines.

    Curve and surface construction is an important topic in computer graphics, computer-aided design, and visualiza-tion courses. In addition to B´ezier, B-spline and NURBS curves and surfaces, interpolation and approximation pro-vide another level of flexibility [6]. In many situations such as surface reengineering and facial movement animation, a.   Quick example - how to add missing curve(s) and surface(s) + transformation from a Surface to Solid model.

      This video shows how to create curves from offsets and then create surfaces from curves. Use p and full screen for best quality. The paper presents a new curve and surface fitting method called improved moving least squares (IMLS) method which considers the errors of all variables. Different from MLS method, TLS with a parameter based on singular value decomposition is introduced Cited by: 5.


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Curve and Surface Design/Curve and Surface Fitting Download PDF EPUB FB2

Curve and Surface Design [AND] Curve and Surface Fitting Saint-Malo Author(s): Rabut Editor(s): Pierre-Jean Laurent, Paul Sablonniere, Larry L. Schumaker, Albert Cohen.

Two new volumes of carefully refereed and edited papers on the most current developments in the theory and applications of curves and : Rabut. Book Description This collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practical use in industrial applications.

Main emphasis is on minimal energy splines and geometric spline curves, and on techniques beyond tensor product : Paperback. The book's unified treatment of all significant methods of curve and surface design is heavily focused on the movement from theory to application.

The author provides complete C implementations of many of the theories he discusses, ranging from the traditional to the by: Curves and Surface Fitting Saint-Malo Editor(s): Albert Cohen, Christopher Rabut, Larry L. Schumaker. Two new volumes of carefully refereed and edited papers on the most current developments in the theory and applications of curves and surfaces.

Curve and surface design in industrial applications still has many unresolved issues, even though research in this field has been ongoing for more than 30 years. This book is a collection of new ideas and results on topics of curve and surface design.

In this chapter we enter the realm of free-form (or sculptured) curves and surfaces. We study fitting,i.e., the construction of NURBS curves and surfaces which fit a rather arbitrary set of geometric data, such as points and derivative vectors. We distinguish two types of fitting, interpolation and approximation.

In interpolation we construct a curve or surface which satisfies the given data precisely, e.g., the curve Cited by: 3. This volume contains recent results and new NURBS techniques and developments--the most important being curve/surface from the CAD/CAM industry.

The book has been carefully refereed. Researchers, system programmers, and graduate students in CAGD, CAD/CAM and computer graphics will find this book uniquely suited to their field of work. is called regression or curve fitting. •The estimated equation (matrix) satisfy the raw data. However, the equation is not usually unique, and the equation or curve with a minimal deviation from all data points is desirable.

•This desirable best-fitting equation can be obtained by least square. CurveFitting Curve Fitting In many cases the relationship of y to x is not a straight line. To fit a curve to the data one can • Fit a nonlinear function directly to the data. Section Surface Fitting by Least Squares In many situations the response variable, y, is.

Curve Fitting app creates a file in the Editor containing MATLAB code to recreate all fits and plots in your interactive session.

For more information about fitting surfaces in the Curve Fitting app, see Interactive Curve and Surface Fitting. Practical Handbook of Curve Fitting is a reference work assembled by Arlinghaus and a set of editors with well over a century of combined experience in various disciplines and activities related to curve fitting.

The book demonstrates how to analyze World data bases and graph and map the results. Default settings in software packages can. In order to construct more general curves and surfaces well, Li et al.

also proposed a curve and surface fitting method based on the homogeneous linear differential system with variable coefficient matrix A(t) to be determined, i.e., (3) {d X (t) d t = A (t) X (t), X (0) = X : Chong-Jun Li, Lin-Lin Xie, Wen-Bin Du.

The curve fitting sections also contain a lot of useful information on fitting curves with additional constraints, such as known end point derivatives, or convexity constraints. When dealing with surface fitting, the author differentiates between techniques for fitting data that lie on a regular mesh (which may be incomplete) and scattered data.

The book's unified treatment of all significant methods of curve and surface design is heavily focused on the movement from theory to application. The author provides complete C implementations of many of the theories he discusses, ranging from the traditional to the leading-edge.

The purpose of this book is to reveal the foundations and major features of several basic methods for curve and surface fitting that are currently in use.

Rating: (not yet rated) 0 with reviews - Be the first. The fitting of a curve or surface through a set of observational data is a recurring problem across numerous disciplines such as applications. This book describes the algorithms and mathematical fundamentals of a widely used software package for data fitting with tensor product splines.

It gives a survey of possibilities, benefits, and problems commonly confronted when approximating with this. developable surface can be constructed with two boundary curves.

Lang and Roschel [4] obtained necessary conditions for the control nets and the weights of a rational Bézier surface to become developable. However, the result leads to a complex system of coupled equations that make it di fficult to design developable surfaces with their method.

Chapter 6: Curve Fitting Two types of curve fitting Given data for discrete values, fit a curve or a series of curves that pass di-rectly through each of the points. — When data are very precise. PART I: Least Square Regression 1 Simple Linear Regression. Specify a parametric model for the data—either a Curve Fitting Toolbox library model or a custom model that you define.

You specify the model by passing a string or expression to the fit function or (optional) with a fittype object you create with the fittype function. To view available library models, see List of Library Models for Curve and Surface Fitting. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

interpolate_surface() approximate_curve() approximate_surface() Surface fitting generates control points grid defined in u and v parametric dimensions. Therefore, the input requires number of data points to be fitted in both parametric dimensions.

In other words, size_u and size_v arguments are used to fit curves of the surface on the.surements into simple surface patches, fitting a smooth surface to the point measurements, and matching a surface model to the point measurements.

After studying the material in this chapter, the reader should have a good introduction to the terminology and notation of surface modeling and be prepared to continue the topic in other Size: 1MB.That is, they describe how to generate an ordered sequence of points along the curve or surface.

We describe them as a mapping from the 1D or 2D parametric domain into the 2D or 3D affine space in which the curve or surface lies.

The general form for algebraic and parametric representations of curves and surfaces is summarized in the table below.