🗊 Презентация Intro to Geometric Modeling (GM)

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Intro to Geometric Modeling (GM), слайд №1 Intro to Geometric Modeling (GM), слайд №2 Intro to Geometric Modeling (GM), слайд №3 Intro to Geometric Modeling (GM), слайд №4 Intro to Geometric Modeling (GM), слайд №5 Intro to Geometric Modeling (GM), слайд №6 Intro to Geometric Modeling (GM), слайд №7 Intro to Geometric Modeling (GM), слайд №8 Intro to Geometric Modeling (GM), слайд №9 Intro to Geometric Modeling (GM), слайд №10 Intro to Geometric Modeling (GM), слайд №11 Intro to Geometric Modeling (GM), слайд №12 Intro to Geometric Modeling (GM), слайд №13 Intro to Geometric Modeling (GM), слайд №14 Intro to Geometric Modeling (GM), слайд №15 Intro to Geometric Modeling (GM), слайд №16 Intro to Geometric Modeling (GM), слайд №17 Intro to Geometric Modeling (GM), слайд №18 Intro to Geometric Modeling (GM), слайд №19 Intro to Geometric Modeling (GM), слайд №20 Intro to Geometric Modeling (GM), слайд №21
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Слайды и текст этой презентации

Слайд 1


Week 4: Geometric Modeling – Parametric Representation of Analytic Curves Spring 2018, AUA
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Week 4: Geometric Modeling – Parametric Representation of Analytic Curves Spring 2018, AUA

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Intro to Geometric Modeling (GM)
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Intro to Geometric Modeling (GM)

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Objects of Representation
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Objects of Representation

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Types of Representation
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Types of Representation

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Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other.
Описание слайда:
Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other.

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Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter )
Описание слайда:
Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter )

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Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for...
Описание слайда:
Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for controlling curves and surfaces.

Слайд 8


Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for...
Описание слайда:
Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for controlling curves and surfaces. Transformations (distinct separation between shape and trans. info).

Слайд 9


Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for...
Описание слайда:
Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for controlling curves and surfaces. Transformations (distinct separation between shape and trans. info). Vector – matrix multiplication (not good for you, good for comp).

Слайд 10


Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for...
Описание слайда:
Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for controlling curves and surfaces. Transformations (distinct separation between shape and trans. info). Vector – matrix multiplication (not good for you, good for comp.). Bounded objects are represented with one-to one relationship.

Слайд 11


Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for...
Описание слайда:
Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for controlling curves and surfaces. Transformations (distinct separation between shape and trans. info). Vector – matrix multiplication (not good for you, good for comp.). Bounded objects are represented with one-to one relationship. No problems for slope calculation.

Слайд 12


Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for...
Описание слайда:
Advantages of PR Get rid of dependency of the coordinates (X, Y, Z) from each other. Can be extended to higher objects. (4th parameter ) More DOF for controlling curves and surfaces. Transformations (distinct separation between shape and trans. info). Vector – matrix multiplication (not good for you, good for comp.). Bounded objects are represented with one-to one relationship. No problems for slope calculation. Discretizing entities

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Parametric Representation (PR) X = f(t) Y = g(t) Z = h(t)
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Parametric Representation (PR) X = f(t) Y = g(t) Z = h(t)

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PR of 3D Curve
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PR of 3D Curve

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PR of Analytic Curves Analytic curves are defined by analytic equations
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PR of Analytic Curves Analytic curves are defined by analytic equations

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Lines: 2 points
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Lines: 2 points

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Lines: point and direction
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Lines: point and direction

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Parametric equation from NP Implicit Equation: Example
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Parametric equation from NP Implicit Equation: Example

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Circles
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Circles

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Ellipses
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Ellipses

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Examples Find the equation and endpoints of a line that passes through point P1, parallel to an existing line, and is trimmed by point P2. Relate the...
Описание слайда:
Examples Find the equation and endpoints of a line that passes through point P1, parallel to an existing line, and is trimmed by point P2. Relate the following CAD commands to their mathematical foundations: The command to measure the angle between two intersecting lines. The command to find the distance between a point and a line.

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