Translation of: Ji suan ji he.

Includes bibliographical references (pages 267-291) and index.

Front Cover; Computational Geometry: Curve and Surface Modeling; Copyright Page; Table of Contents; Preface to the English Edition; CHAPTER I. Introduction; 1 What Is Computational Geometry?; 2 Fitting and Fairing in Curves and Surfaces; 3 Fitting and Fairing in Curves with Large Deflection; 4 The B�ezier Curve and Its Extensions; 5 Bicubic Spline Functions and Their Applications to Surface Fairing; 6 Intrinsic Affine Invariants of Parametric Curves in Affine Hyperspace; CHAPTER II. Spline Functions; 1 Cubic Spline Functions; 2 Quadratic Spline Functions.

CHAPTER V. Spline Surfaces1 Bicubic Spline Functions; 2 Coons Patches; 3 B�ezier Patches; 4 B-Spline Patches; CHAPTER VI. Nonlinear Splines; 1 Geometric Spline Curves; 2 Local Cubic Spline Curves; 3 Mechanical Spline Curves; 4 Biarc Interpolation; 5 Interpolation by Pairs of Quadratic Curves; 6 Arc Splines; 7 Local Spline Curves in Tension; 8 Determination of the Tangent Line at a Data Point; CHAPTER VII. Curves and Net Fairing; 1 Conditions for Fairing; 2 Curve Fairing; 3 Net Fairing; 4 Boundary Conditions for Fairing.

CHAPTER VIII. The Intrinsic Affine Invariants of Parametric Curves in Affine Hyperspace1 Concepts and Conclusions in the Theory of Algebraic Curves; 2 Certain Quintic Rational Integral Curves; 3 Some Relative Affine Invariants of Rational Integral Curves of Degree n; 4 The Intrinsic Affine Invariants of Parametric Curves in an Affine Hyperspace; References; Additional References; Index.

English.