intersection: surface-surface, curve-curve

Roman Chijner, SAVAŞ ORHAN, 2018年4月25日

内容目录

  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 de dos cilindres elíptics
    14. Schnitt: Kegel - Würfel
    15. Kugel berührt drei Kegel
    16. Unwrapping a Cylinder Cut by An Oblique Plane - Equation
    17. Finestra di Viviani
    18. Unwrapping a Cylinder Cut by An Oblique Plane
    19. Intersection of squares
    20. 3/4 ≤ cos²A+cos²B+cos²C ≤ 3
    21. intersection cône sphère
    22. Triple Integral Example 2
    23. Triple integral in cylindrical coordinates
    24. Triple Integral in Cylindrical Coordinates
    25. Triple Integrals - an example to start
    26. Triple Integral Cylindrical C…
    27. Triple Integral Cylindrical Coordinates
    28. Volumes of intersecting cylinders of radius 2
    29. Dupilicació del cub. Solució d'Arquites
    30. 正立方體的截面
    31. Shortest Perimeter
    32. Christopher's Conjecture - Spoiler & Net
    33. Cross Sections of a Cube
    34. Intersection of Circles and Spheres
    35. Torus-plane intersection
    36. Recta tangent una corba de nivell
    37. Conceptes bàsics
    38. Superfícies de revolució amb polígons
    39. 3D Function
    40. Crossing Twisted Rings
    41. Corbes de nivell amb camp de gradients
    42. Section Plan-Cube
    43. Vektorfeld eines Gradienten
    44. Conic Sections
    45. Rombes guerxos
    46. Derivadas direccionales , curvas de nivel y gradiente
  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 d'un con i d'una esfera
    45. Intersecció d'un con i un cub
    46. Intersecció d'un con i un tetraedre
    47. Intersecció d'una esfera i un cub
    48. Intersecció de dos cilindres
    49. Cone intersecting cylinder -- perpendicular axes
    50. Durchdringung: Kugel - Zylinder
    51. Durchdringung: Kegel - Zylinder
    52. Durchdringung: Zylinder - Zylinder
    53. Extremwerte mit Nebenbedingungen - Lagrange-Formalismus
    54. Kurve des Archytas
    55. courbes de niveaux III
    56. Curvas de nivel de una función
    57. 3D Parametric Paths #3
    58. intersections de surfaces
    59. Intersecció d'un torus i un pla definit per tres punts
    60. Abrollfunktion finden
    61. Rohrabwicklung
    62. Intersection of two cylinders
    63. Double Box-lid (Mouhefanggai 牟合方蓋) as Intersection of 2 Cylinders
    64. Double Box-lid (Mouhefanggai) 牟合方蓋面面觀
    65. Bicylinder (Mouhefanggai 牟合方蓋)
    66. Volume: Hexagon2 cross section diagonal in region
    67. Volume: Hexagon cross sections with diagonal in region
    68. Volume: Hexagons with side in base
    69. Volume: Base between 2 quad, cr. sect. right triangles.
    70. Volume: Circ base cross section isos rt triangle hyp in base
    71. Volume: Circular base cross sections isos rt triangles
    72. Intersección esfera-cilindro
    73. Curva de Arquitas
    74. Més interseccions!
    75. Posició relativa de dues esferes
    76. Parametrization of a circle in a plane
    77. 牟合方蓋：兩圓柱交集
    78. 極限不存在（雙路徑法）
    79. Affensattel
  3. Intersection of two explizite surfaces
    1. Computation points of intersection of two explizite surfaces
    2. -3 ≤ cosA+cosB+cosC ≤ 3/2
    3. Corbes de nivell
    4. Veranschaulichung für "Schnitt zweier Dreiecke"
    5. Cross Sections of Quadratic Surfaces
    6. Intersección de dos cilindros 1
    7. -3/2 ≤ cosα + cosβ + cosγ ≤ 3
    8. -3/2 ≤ cosα + cosβ + cosγ ≤ 3
    9. -1/8 ≤ cosα cosβ cosγ ≤ 1
    10. -(√3/2)³ ≤ sinα sinβ sinγ ≤ (√3/2)³
  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
    2. 東工大 2012
  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
    3. Parametric surface
    4. Spiric Sections ...
  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 de dos cilindres elíptics
  • 14. Schnitt: Kegel - Würfel
  • 15. Kugel berührt drei Kegel
  • 16. Unwrapping a Cylinder Cut by An Oblique Plane - Equation
  • 17. Finestra di Viviani
  • 18. Unwrapping a Cylinder Cut by An Oblique Plane
  • 19. Intersection of squares
  • 20. 3/4 ≤ cos²A+cos²B+cos²C ≤ 3
  • 21. intersection cône sphère
  • 22. Triple Integral Example 2
  • 23. Triple integral in cylindrical coordinates
  • 24. Triple Integral in Cylindrical Coordinates
  • 25. Triple Integrals - an example to start
  • 26. Triple Integral Cylindrical C…
  • 27. Triple Integral Cylindrical Coordinates
  • 28. Volumes of intersecting cylinders of radius 2
  • 29. Dupilicació del cub. Solució d'Arquites
  • 30. 正立方體的截面
  • 31. Shortest Perimeter
  • 32. Christopher's Conjecture - Spoiler & Net
  • 33. Cross Sections of a Cube
  • 34. Intersection of Circles and Spheres
  • 35. Torus-plane intersection
  • 36. Recta tangent una corba de nivell
  • 37. Conceptes bàsics
  • 38. Superfícies de revolució amb polígons
  • 39. 3D Function
  • 40. Crossing Twisted Rings
  • 41. Corbes de nivell amb camp de gradients
  • 42. Section Plan-Cube
  • 43. Vektorfeld eines Gradienten
  • 44. Conic Sections
  • 45. Rombes guerxos
  • 46. Derivadas direccionales , curvas de nivel y gradiente

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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 d'un con i d'una esfera
  • 45. Intersecció d'un con i un cub
  • 46. Intersecció d'un con i un tetraedre
  • 47. Intersecció d'una esfera i un cub
  • 48. Intersecció de dos cilindres
  • 49. Cone intersecting cylinder -- perpendicular axes
  • 50. Durchdringung: Kugel - Zylinder
  • 51. Durchdringung: Kegel - Zylinder
  • 52. Durchdringung: Zylinder - Zylinder
  • 53. Extremwerte mit Nebenbedingungen - Lagrange-Formalismus
  • 54. Kurve des Archytas
  • 55. courbes de niveaux III
  • 56. Curvas de nivel de una función
  • 57. 3D Parametric Paths #3
  • 58. intersections de surfaces
  • 59. Intersecció d'un torus i un pla definit per tres punts
  • 60. Abrollfunktion finden
  • 61. Rohrabwicklung
  • 62. Intersection of two cylinders
  • 63. Double Box-lid (Mouhefanggai 牟合方蓋) as Intersection of 2 Cylinders
  • 64. Double Box-lid (Mouhefanggai) 牟合方蓋面面觀
  • 65. Bicylinder (Mouhefanggai 牟合方蓋)
  • 66. Volume: Hexagon2 cross section diagonal in region
  • 67. Volume: Hexagon cross sections with diagonal in region
  • 68. Volume: Hexagons with side in base
  • 69. Volume: Base between 2 quad, cr. sect. right triangles.
  • 70. Volume: Circ base cross section isos rt triangle hyp in base
  • 71. Volume: Circular base cross sections isos rt triangles
  • 72. Intersección esfera-cilindro
  • 73. Curva de Arquitas
  • 74. Més interseccions!
  • 75. Posició relativa de dues esferes
  • 76. Parametrization of a circle in a plane
  • 77. 牟合方蓋：兩圓柱交集
  • 78. 極限不存在（雙路徑法）
  • 79. Affensattel

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3.

Intersection of two explizite surfaces

  • 1. Computation points of intersection of two explizite surfaces
  • 2. -3 ≤ cosA+cosB+cosC ≤ 3/2
  • 3. Corbes de nivell
  • 4. Veranschaulichung für "Schnitt zweier Dreiecke"
  • 5. Cross Sections of Quadratic Surfaces
  • 6. Intersección de dos cilindros 1
  • 7. -3/2 ≤ cosα + cosβ + cosγ ≤ 3
  • 8. -3/2 ≤ cosα + cosβ + cosγ ≤ 3
  • 9. -1/8 ≤ cosα cosβ cosγ ≤ 1
  • 10. -(√3/2)³ ≤ sinα sinβ sinγ ≤ (√3/2)³

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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
  • 2. 東工大 2012

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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
  • 3. Parametric surface
  • 4. Spiric Sections ...

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6.

Intersections of two implicit surfaces

  • 1. Intersections of two implicit surfaces

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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


    本章尚不包含任何资源

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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Intersection of Parametric and Implicit Curves

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

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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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信息