'Tangent vectors' diaporamas de présentation

V. Space Curves

V. Space Curves. Types of curves Explicit Implicit Parametric. Modeling with curves. interpolating data point. data points. approximating curve. Curves with explicit representation. p (t). p (t 2 ). p (t 1 ). Curves with implicit representation Intersect two surface to get a curve.

1.14k views • 112 slides

CSCE 441 Computer Graphics: Keyframe Animation/Smooth Curves

CSCE 441 Computer Graphics: Keyframe Animation/Smooth Curves. Jinxiang Chai. Outline. Keyframe interpolation Curve representation and interpolation - natural cubic curves - Hermite curves - Bezier curves Required readings: HB 8-8,8-9, 8-10. Computer Animation. Animation

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Modeling Curved Surfaces

Modeling Curved Surfaces. Curved Surfaces. The use of curved surfaces allows for a higher level of modeling, especially for the construction of highly realistic models. There are several approaches to modeling curved surfaces:. (1) Similar to polyhedral models ,

756 views • 52 slides

Parametric Curves

Parametric Curves. Parametric Representations. 3 basic representation strategies: Explicit: y = mx + b Implicit: ax + by + c = 0 Parametric: P = P 0 + t (P 1 - P 0 ) Advantages of parametric forms More degrees of freedom Directly transformable Dimension independent

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A G 2 and shape preserving subdivision scheme for curve interpolation

A G 2 and shape preserving subdivision scheme for curve interpolation. Chongyang Deng 2007-05-16. Outline. 1. Introduction 2. The subdivision scheme 3. Example 4. Smoothness analysis 5. Generating spiral by subdivision scheme 6. Future work.

597 views • 44 slides

Representation of Curves & Surfaces

Representation of Curves & Surfaces. Prof. Lizhuang Ma Shanghai Jiao Tong University. Contents. Specialized Modeling Techniques Polygon Meshes Parametric Cubic Curves Parametric Bi-Cubic Surfaces Quadric Surfaces Specialized Modeling Techniques. The Teapot. Representing Polygon Meshes.

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Computer Graphics

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Representing Curves and Surfaces

Representing Curves and Surfaces. Introduction. We need smooth curves and surfaces in many applications: model real world objects computer-aided design (CAD) high quality fonts data plots artists sketches. Introduction. Most common representation for surfaces: polygon mesh

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12.3

12.3. Velocity and Acceleration. Projectile Motion. Examples.

104 views • 10 slides