Ebook: Advanced Course on FAIRSHAPE

Inhalt
Fairing and Shape Preserving of Curves - Experiences in CurveFairing - Co-Convexivity preserving Curve Interpolation - Shape Preserving Interpolation by Planar Curves - Shape Preserving Interpolation by Curves in Three Dimensions - A coparative study of two curve fairing methods in Tribon Initial Design Fairing Curves and Surfaces Fairing of B-Spline Curves and Surfaces - Declarative Modeling of fair shapes: An additional approach to curves and surfaces computations Shape Preserving of Curves and Surfaces Shape preserving interpolation with variable degree polynomial splines Fairing of Surfaces Functional Aspects of Fairness - Surface design based on brightness intensity or isophotes-theory and practice - Fair surface blending, an overview of industrial problems - Multivariate Splines with Convex-B-Patch Control Nets are Convex Shape Preserving of Surfaces Parametrizing Wing Surfaces using Partial Differential Equations - Algorithms for convexity preserving interpolation of scattered data - Abstract schemes for functional shape-preserving interpolation - Tensor Product Spline Interpolation subject to Piecewise Bilinear Lower and Upper Bounds - Construction of Surfaces by Shape Preserving Approximation of Contour Data-B-Spline Approximation with Energy constraints - Curvature approximation with application to surface modelling - Scattered Data Approximation with Triangular B-Splines Benchmarks Benchmarking in the area of Planar Shape Preserving Interpolation - Benchmark Processes in the Aerea of Shape - Constrained Approximation

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Inhalt
Fairing and Shape Preserving of Curves - Experiences in CurveFairing - Co-Convexivity preserving Curve Interpolation - Shape Preserving Interpolation by Planar Curves - Shape Preserving Interpolation by Curves in Three Dimensions - A coparative study of two curve fairing methods in Tribon Initial Design Fairing Curves and Surfaces Fairing of B-Spline Curves and Surfaces - Declarative Modeling of fair shapes: An additional approach to curves and surfaces computations Shape Preserving of Curves and Surfaces Shape preserving interpolation with variable degree polynomial splines Fairing of Surfaces Functional Aspects of Fairness - Surface design based on brightness intensity or isophotes-theory and practice - Fair surface blending, an overview of industrial problems - Multivariate Splines with Convex-B-Patch Control Nets are Convex Shape Preserving of Surfaces Parametrizing Wing Surfaces using Partial Differential Equations - Algorithms for convexity preserving interpolation of scattered data - Abstract schemes for functional shape-preserving interpolation - Tensor Product Spline Interpolation subject to Piecewise Bilinear Lower and Upper Bounds - Construction of Surfaces by Shape Preserving Approximation of Contour Data-B-Spline Approximation with Energy constraints - Curvature approximation with application to surface modelling - Scattered Data Approximation with Triangular B-Splines Benchmarks Benchmarking in the area of Planar Shape Preserving Interpolation - Benchmark Processes in the Aerea of Shape - Constrained Approximation
Content:
Front Matter....Pages 1-6
Front Matter....Pages 7-7
Experiences in Curve Fairing....Pages 9-16
Co-convexity preserving Curve Interpolation....Pages 17-28
Shape Preserving Interpolation by Planar Curves....Pages 29-38
Shape Preserving Interpolation by Curves in Three Dimensions....Pages 39-46
A coparative study of two curve fairing methods in Tribon Initial Design....Pages 47-56
Front Matter....Pages 57-57
Fairing of B-Spline Curves and Surfaces....Pages 59-75
Declarative Modeling of fair shapes: An additional approach to curves and surfaces computations....Pages 77-85
Front Matter....Pages 86-86
Shape-preserving interpolation with variable degree polynomial splines....Pages 87-114
Front Matter....Pages 115-115
Functional Aspects of Fairness....Pages 117-130
Surface design based on brightness intensity or isophotes-theory and practice....Pages 131-143
Fair surface blending, an overview of industrial problems....Pages 145-151
Multivariate Splines with Convex B-Patch Control Nets are Convex....Pages 153-159
Front Matter....Pages 160-160
Parametrizing Wing Surfaces using Partial Differential Equations....Pages 161-173
Algorithms for convexity preserving interpolation of scattered data....Pages 175-184
Abstract schemes for functional shape-preserving interpolation....Pages 185-199
Tensor Product Spline Interpolation subject to Piecewise Bilinear Lower and Upper Bounds....Pages 201-216
Construction of Surfaces by Shape Preserving Approximation of Contour Data....Pages 217-227
B-Spline Approximation with Energy Constraints....Pages 229-240
Curvature approximation with application to surface modeling....Pages 241-251
Scattered Data Approximation with Triangular B-Splines....Pages 253-263
Benchmarking in the Area of Planar Shape-Preserving Interpolation....Pages 265-281
Benchmark Process in the Area of Shape-Constrained Approximation....Pages 283-288

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Inhalt
Fairing and Shape Preserving of Curves - Experiences in CurveFairing - Co-Convexivity preserving Curve Interpolation - Shape Preserving Interpolation by Planar Curves - Shape Preserving Interpolation by Curves in Three Dimensions - A coparative study of two curve fairing methods in Tribon Initial Design Fairing Curves and Surfaces Fairing of B-Spline Curves and Surfaces - Declarative Modeling of fair shapes: An additional approach to curves and surfaces computations Shape Preserving of Curves and Surfaces Shape preserving interpolation with variable degree polynomial splines Fairing of Surfaces Functional Aspects of Fairness - Surface design based on brightness intensity or isophotes-theory and practice - Fair surface blending, an overview of industrial problems - Multivariate Splines with Convex-B-Patch Control Nets are Convex Shape Preserving of Surfaces Parametrizing Wing Surfaces using Partial Differential Equations - Algorithms for convexity preserving interpolation of scattered data - Abstract schemes for functional shape-preserving interpolation - Tensor Product Spline Interpolation subject to Piecewise Bilinear Lower and Upper Bounds - Construction of Surfaces by Shape Preserving Approximation of Contour Data-B-Spline Approximation with Energy constraints - Curvature approximation with application to surface modelling - Scattered Data Approximation with Triangular B-Splines Benchmarks Benchmarking in the area of Planar Shape Preserving Interpolation - Benchmark Processes in the Aerea of Shape - Constrained Approximation
Content:
Front Matter....Pages 1-6
Front Matter....Pages 7-7
Experiences in Curve Fairing....Pages 9-16
Co-convexity preserving Curve Interpolation....Pages 17-28
Shape Preserving Interpolation by Planar Curves....Pages 29-38
Shape Preserving Interpolation by Curves in Three Dimensions....Pages 39-46
A coparative study of two curve fairing methods in Tribon Initial Design....Pages 47-56
Front Matter....Pages 57-57
Fairing of B-Spline Curves and Surfaces....Pages 59-75
Declarative Modeling of fair shapes: An additional approach to curves and surfaces computations....Pages 77-85
Front Matter....Pages 86-86
Shape-preserving interpolation with variable degree polynomial splines....Pages 87-114
Front Matter....Pages 115-115
Functional Aspects of Fairness....Pages 117-130
Surface design based on brightness intensity or isophotes-theory and practice....Pages 131-143
Fair surface blending, an overview of industrial problems....Pages 145-151
Multivariate Splines with Convex B-Patch Control Nets are Convex....Pages 153-159
Front Matter....Pages 160-160
Parametrizing Wing Surfaces using Partial Differential Equations....Pages 161-173
Algorithms for convexity preserving interpolation of scattered data....Pages 175-184
Abstract schemes for functional shape-preserving interpolation....Pages 185-199
Tensor Product Spline Interpolation subject to Piecewise Bilinear Lower and Upper Bounds....Pages 201-216
Construction of Surfaces by Shape Preserving Approximation of Contour Data....Pages 217-227
B-Spline Approximation with Energy Constraints....Pages 229-240
Curvature approximation with application to surface modeling....Pages 241-251
Scattered Data Approximation with Triangular B-Splines....Pages 253-263
Benchmarking in the Area of Planar Shape-Preserving Interpolation....Pages 265-281
Benchmark Process in the Area of Shape-Constrained Approximation....Pages 283-288
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