'Handed coordinate system' diaporamas de présentation

Chapter 4 Vector Graphics

Chapter 4 Vector Graphics. Multimedia Systems. Key Points. Points can be identified by coordinates . Lines and shapes can be described by equations . Approximating abstract shapes on a grid of finite pixels leads to `jaggies'. Anti-aliasing can offset this effect.

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Dynamics of Rotational Motion

Dynamics of Rotational Motion. Cross Product. Cross Product.

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Manipulator Dynamics

Introduction to ROBOTICS. Manipulator Dynamics . Jizhong Xiao Department of Electrical Engineering City College of New York jxiao@ccny.cuny.edu. Outline. Homework Highlight Review Kinematics Model Jacobian Matrix Trajectory Planning Dynamic Model Langrange-Euler Equation Examples.

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Chapter 3

Chapter 3. Vectors. Vectors. Vectors. Vector quantities Physical quantities that have both numerical and directional properties Mathematical operations of vectors in this chapter Addition Subtraction. Introduction. Coordinate Systems. Used to describe the position of a point in space

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Mathematics for Graphics

Mathematics for Graphics. Objectives. Introduce the elements of geometry Scalars Vectors Points Develop mathematical operations among them in a coordinate-free manner Define basic primitives Line segments Polygons. 3D Cartesian co-ordinates. Basic Elements.

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Projections and Z-buffers

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Inverse Kinematics Jacobian Matrix Trajectory Planning

Introduction to ROBOTICS. Inverse Kinematics Jacobian Matrix Trajectory Planning . Jizhong Xiao Department of Electrical Engineering City College of New York jxiao@ccny.cuny.edu. Outline. Review Kinematics Model Inverse Kinematics Example Jacobian Matrix Singularity

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Mathematics for Computer Graphics

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CS 445 / 645: Introductory Computer Graphics

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3D Concepts

3D Concepts. Coordinate Systems Coordinates specify points in space 3D coords commonly use X, Y, & Z A vertex is a 'corner' of an object Different coordinate systems have different measurement orientations. 3D Concepts. Coordinate Systems

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Modeling 101

Modeling 101. For the moment assume that all geometry consists of points, lines and faces Line: A segment between two endpoints Face: A planar area bounded by line segments Any face can be triangulated (broken into triangles). Modeling and OpenGL.

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CS 445 / 645 Introduction to Computer Graphics

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Vectors

Vectors. Scalars and Vectors Vector Components and Arithmetic Vectors in 3 Dimensions Unit vectors i , j , k. Serway and Jewett Chapter 3. Physical quantities are classified as scalars, vectors, etc. Scalar : described by a real number with units

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Denavit-Hartenberg Convention

Denavit-Hartenberg Convention. Denavit-Hartenberg Convention. Number the joints from 1 to n starting with the base and ending with the end-effector.

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Introduction to 3D in XNA

Introduction to 3D in XNA. Game Design Experience Professor Jim Whitehead February 27, 2009. Creative Commons Attribution 3.0 creativecommons.org/licenses/by/3.0. Announcements. Partially operational game prototype Due today Can turn in to box by my office door by 5pm

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Vectors in Space

Vectors in Space. We live in a Three Dimensional World. Rectangular Coordinates in Space. Right handed coordinate system We now have an ordered triple (x,y,z) associated with each point. Graphing examples. Representing Vectors in Space.

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CS 352: Computer Graphics

CS 352: Computer Graphics. Final Exam Review. Recent topics. BSP-tree Computing form factors Heckbert median-cut algorithm Floyd-Steinberg dither algorithm DDA line rasterization algorithm. Graphics Pipeline. Coordinate systems: object, eye, clip, NDC, screen

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Chapter-3 Vectors

Chapter-3 Vectors. Vectors and Scalars: Physics deals with many physical quantities, which are divided into scalars and vectors. A scalar quantity is one that can be described by a single number (including any units) giving its size or magnitude.

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Vector Product (Cross-product)

Vector Product (Cross-product). There are two different methods for determining the vector product between any two vectors: The Determinant method and the Cyclic method. Determinant Method. Cyclic Method.

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