Applications des mathématiques - 2ème

Rickli Patrick, Feb 11, 2015

Chapitre Interpolation : cours de JM Ledermann (LDDR) [url]http://www.rpn.ch/lddr/adm/adm_inter.pdf [/url]

Table of Contents

  1. Interpolation - Divers
    1. How to draw Bezier curves
    2. Courbe paramétrée
    3. Sous arcs de Bézier
    4. Courbes x=r(t)cos(t) y=r(t)sin(t)
    5. Interpolation - Courbe "r cis(t)"
  2. Interpolation - Exercices
    1. Interpolation - Ex 12
    2. Interpolation - Ex 14a
    3. Interpolation - Ex 16 Néphroïde
    4. Interpolation - Ex 17
    5. Interpolation - Ex 19
    6. Interpolation - Ex 20
    7. Interpolation - Ex 24
    8. Interpolation - Ex 25 a)
    9. Interpolation - Ex 26
    10. Interpolation - Ex 27
  3. Perspective2
    1. Construction de la perspective d'un point

1.

Interpolation - Divers

  • 1. How to draw Bezier curves
  • 2. Courbe paramétrée
  • 3. Sous arcs de Bézier
  • 4. Courbes x=r(t)cos(t) y=r(t)sin(t)
  • 5. Interpolation - Courbe "r cis(t)"

1.1.

How to draw Bezier curves

This sketch demonstrates how Bezier curves are constructed.
Given a fixed number (n) of control points, you create a new set of n-1 control points by moving a proportion of the way between successive points. Repeat until you only have one control point, and the locus of that point is the Bezier curve.[br][br]What would the equation of a curve generated in this way look like?
– Jon Ingram

1.2.

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1.3.

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1.4.

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1.5.

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2.

Interpolation - Exercices

  • 1. Interpolation - Ex 12
  • 2. Interpolation - Ex 14a
  • 3. Interpolation - Ex 16 Néphroïde
  • 4. Interpolation - Ex 17
  • 5. Interpolation - Ex 19
  • 6. Interpolation - Ex 20
  • 7. Interpolation - Ex 24
  • 8. Interpolation - Ex 25 a)
  • 9. Interpolation - Ex 26
  • 10. Interpolation - Ex 27

2.1.

Interpolation - Ex 12

Interpolation - Exercice 12[br]
– Rickli Patrick

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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3.

Perspective2

  • 1. Construction de la perspective d'un point

3.1.

Construction de la perspective d'un point

Perspective d'un point
– Rickli Patrick

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