intersection: surface-surface, curve-curve

Roman Chijner, 赵清河, 2017/05/15

各种交截面的展示，非常生动

目次

  1. Finding points of intersection of two surfaces
    1. Implicit surfaces as a network of implicit curves
    2. Points of intersection between implicit f(x,y,z)=0 and explicit z=z(x,y) surfaces
    3. Points of intersection between implicit f(x,y,z)=0 and explicit z=z(x,y) surfaces
    4. Intersections of surface z=f(x,y) with a moving plane
    5. query implicit
    6. surface and plane intersectionPC2
    7. surface and plane intersection
    8. intersection de deux cylindres
    9. intersection cylindre sphere
    10. intersection cône cylindre
    11. section sphere cone
    12. Construcció de la intersecció de dos superfícies
    13. Intersecció d'un con i d'una esfera
    14. Intersecció d'un con i un cub
    15. Intersecció d'un con i un tetraedre
    16. Intersecció d'una esfera i un cub
    17. Intersecció de dos cilindres elíptics
    18. Schnitt: Kegel - Würfel
    19. Kugel berührt drei Kegel
  2. Parametrization the curve of intersection
    1. Geometric constructions curves of intersection of two cylinders
    2. Geometric constructions curves of intersection of three cylinders
    3. Curve of intersection of 3 Cylinder surfaces
    4. Curve of Cylinder-Sphere Intersection-Viviani's curve
    5. Curve of Cone–cylinder Intersection
    6. Curve of Cone–Sphere Intersection
    7. curve of two spheres Intersection
    8. Curve of intersection of 2 surfaces: Cylinder-Cos surfaces in [-pi,pi]
    9. Curve of intersection of 2 surfaces: Cylinder-Cos surfaces in [-2pi,2pi]
    10. Curve of intersections of two quadrics
    11. curve of intersection of a sphere and hyperbolic paraboloid
    12. Curve of intersection of z=f(x,y) and Cylinder surfaces
    13. A curve formed by the intersection of the surface and the moving plane
    14. Intersections curves of parametric surface Gerono Lemniskate Torus with a moving plane
    15. Volume of intersecting cylinders
    16. Conic Sections
    17. Schnitt von zwei Zylindern
    18. Schnitt von drei Kugeln
    19. Elliptischer Doppelkegel und Zylinder
    20. Průnik 3 válců
    21. Průnik dvou válců
    22. Průnik válce a koule
    23. Průnik kužele a koule
    24. oloide
    25. Copy of CONIC SECTION
    26. Stereographic projection
    27. Seções cônicas
    28. Conique
    29. lignes de niveau II
    30. Curva de inteseção de semi-esfera com cilindro
    31. 3meet_7anal_kegelsneden
    32. 3meet_7anal_kegelsnedenbis
    33. Kegelsnede in 3D
    34. Interseccions de cilindres
    35. Con el·líptic
    36. Intersecció d'un cilindre i una esfera
    37. Kurve auf Oberfläche
    38. conoïde de Plücker
    39. Extrude curve
    40. Quadrics
    41. Пресичане на конус с цилиндър
    42. Intersecting cylinders
    43. Intersection sphère & cône
    44. Intersecció de dos cilindres
    45. Cone intersecting cylinder -- perpendicular axes
    46. Durchdringung: Kugel - Zylinder
    47. Durchdringung: Kegel - Zylinder
    48. Durchdringung: Zylinder - Zylinder
  3. Intersection of two explizite surfaces
    1. Computation points of intersection of two explizite surfaces
  4. Intersection of implicit and explicit surfaces
    1. Points of intersection between implicit f(x,y,z)=0 and explicit z=z(x,y) surfaces
  5. Intersections of two parametric surfaces
    1. Intersections of two parametric surfaces
    2. Points of intersections of parametric surfaces with planes: x=x0, y=y0, z=z0
  6. Intersections of two implicit surfaces
    1. Intersections of two implicit surfaces
  7. Visualizing Functions of Two Variables
    1. Visualizing Functions of Two Variables
    2. sin(x*y)+sin(x^2+y^2)- Images to Visualizing Functions of Two Variables
    3. Visualizing Functions of Two Variables. Version 2
    4. Visualizing Functions of Two Variables. Version 3
    5. Contour Plot
    6. Video: Contour Plot
  8. Numerical methods for finding intersection points of two curves in R^2
  9. Intersection of Parametric Curve and Function
    1. Intersection of Parametric Curve and Function in R^2
  10. Intersection points of two Implicit curves
    1. Intersection points of two Implicit curves. Scanning Method. Improved version.
    2. Intersection points of two Implicit curves. Scanning Method.
    3. Geometric method of finding the points of intersection of two implicit Curves
    4. Two Methods of finding intersection points of two implicit Curves
    5. Subsets of Points whose distances at least r from the its first.
    6. NSolve for implicit curve intersection
    7. Graphical and numerical CAS solution of a system of two equations with implicit functions (1)
    8. Graphical and numerical CAS solution of a system of two equations with implicit functions (2)
  11. Intersection of Parametric and Implicit Curves
    1. Intersection of Parametric and Implicit Curves in R^2
  12. Intersection of two Parametric Curves
    1. Intersection of two Parametric Curves via intersections corresponding Implicit Curves
    2. Graphical and numerical CAS solution of Intersection of two Parametric Curves via intersections corresponding Implicit Curves

1.

Finding points of intersection of two surfaces

  • 1. Implicit surfaces as a network of implicit curves
  • 2. Points of intersection between implicit f(x,y,z)=0 and explicit z=z(x,y) surfaces
  • 3. Points of intersection between implicit f(x,y,z)=0 and explicit z=z(x,y) surfaces
  • 4. Intersections of surface z=f(x,y) with a moving plane
  • 5. query implicit
  • 6. surface and plane intersectionPC2
  • 7. surface and plane intersection
  • 8. intersection de deux cylindres
  • 9. intersection cylindre sphere
  • 10. intersection cône cylindre
  • 11. section sphere cone
  • 12. Construcció de la intersecció de dos superfícies
  • 13. Intersecció d'un con i d'una esfera
  • 14. Intersecció d'un con i un cub
  • 15. Intersecció d'un con i un tetraedre
  • 16. Intersecció d'una esfera i un cub
  • 17. Intersecció de dos cilindres elíptics
  • 18. Schnitt: Kegel - Würfel
  • 19. Kugel berührt drei Kegel

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2.

Parametrization the curve of intersection

  • 1. Geometric constructions curves of intersection of two cylinders
  • 2. Geometric constructions curves of intersection of three cylinders
  • 3. Curve of intersection of 3 Cylinder surfaces
  • 4. Curve of Cylinder-Sphere Intersection-Viviani's curve
  • 5. Curve of Cone–cylinder Intersection
  • 6. Curve of Cone–Sphere Intersection
  • 7. curve of two spheres Intersection
  • 8. Curve of intersection of 2 surfaces: Cylinder-Cos surfaces in [-pi,pi]
  • 9. Curve of intersection of 2 surfaces: Cylinder-Cos surfaces in [-2pi,2pi]
  • 10. Curve of intersections of two quadrics
  • 11. curve of intersection of a sphere and hyperbolic paraboloid
  • 12. Curve of intersection of z=f(x,y) and Cylinder surfaces
  • 13. A curve formed by the intersection of the surface and the moving plane
  • 14. Intersections curves of parametric surface Gerono Lemniskate Torus with a moving plane
  • 15. Volume of intersecting cylinders
  • 16. Conic Sections
  • 17. Schnitt von zwei Zylindern
  • 18. Schnitt von drei Kugeln
  • 19. Elliptischer Doppelkegel und Zylinder
  • 20. Průnik 3 válců
  • 21. Průnik dvou válců
  • 22. Průnik válce a koule
  • 23. Průnik kužele a koule
  • 24. oloide
  • 25. Copy of CONIC SECTION
  • 26. Stereographic projection
  • 27. Seções cônicas
  • 28. Conique
  • 29. lignes de niveau II
  • 30. Curva de inteseção de semi-esfera com cilindro
  • 31. 3meet_7anal_kegelsneden
  • 32. 3meet_7anal_kegelsnedenbis
  • 33. Kegelsnede in 3D
  • 34. Interseccions de cilindres
  • 35. Con el·líptic
  • 36. Intersecció d'un cilindre i una esfera
  • 37. Kurve auf Oberfläche
  • 38. conoïde de Plücker
  • 39. Extrude curve
  • 40. Quadrics
  • 41. Пресичане на конус с цилиндър
  • 42. Intersecting cylinders
  • 43. Intersection sphère & cône
  • 44. Intersecció de dos cilindres
  • 45. Cone intersecting cylinder -- perpendicular axes
  • 46. Durchdringung: Kugel - Zylinder
  • 47. Durchdringung: Kegel - Zylinder
  • 48. Durchdringung: Zylinder - Zylinder

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3.

Intersection of two explizite surfaces

  • 1. Computation points of intersection of two explizite surfaces

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4.

Intersection of implicit and explicit surfaces

  • 1. Points of intersection between implicit f(x,y,z)=0 and explicit z=z(x,y) surfaces

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5.

Intersections of two parametric surfaces

  • 1. Intersections of two parametric surfaces
  • 2. Points of intersections of parametric surfaces with planes: x=x0, y=y0, z=z0

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6.

Intersections of two implicit surfaces

  • 1. Intersections of two implicit surfaces

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7.

Visualizing Functions of Two Variables

  • 1. Visualizing Functions of Two Variables
  • 2. sin(x*y)+sin(x^2+y^2)- Images to Visualizing Functions of Two Variables
  • 3. Visualizing Functions of Two Variables. Version 2
  • 4. Visualizing Functions of Two Variables. Version 3
  • 5. Contour Plot
  • 6. Video: Contour Plot

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8.

Numerical methods for finding intersection points of two curves in R^2


    このチャプターにはまだ教材がありません

9.

Intersection of Parametric Curve and Function

  • 1. Intersection of Parametric Curve and Function in R^2

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10.

Intersection points of two Implicit curves

  • 1. Intersection points of two Implicit curves. Scanning Method. Improved version.
  • 2. Intersection points of two Implicit curves. Scanning Method.
  • 3. Geometric method of finding the points of intersection of two implicit Curves
  • 4. Two Methods of finding intersection points of two implicit Curves
  • 5. Subsets of Points whose distances at least r from the its first.
  • 6. NSolve for implicit curve intersection
  • 7. Graphical and numerical CAS solution of a system of two equations with implicit functions (1)
  • 8. Graphical and numerical CAS solution of a system of two equations with implicit functions (2)

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11.

Intersection of Parametric and Implicit Curves

  • 1. Intersection of Parametric and Implicit Curves in R^2

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12.

Intersection of two Parametric Curves

  • 1. Intersection of two Parametric Curves via intersections corresponding Implicit Curves
  • 2. Graphical and numerical CAS solution of Intersection of two Parametric Curves via intersections corresponding Implicit Curves

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情報