'3 space' presentation slideshows

CS559: Computer Graphics

CS559: Computer Graphics. Lecture 20: Project 2 Review and Texture mapping Li Zhang Spring 2010. Many slides from Ravi Ramamoorthi, Columbia Univ, Greg Humphreys, UVA and Rosalee Wolfe, DePaul tutorial teaching texture mapping visually. Sample Code by Chi Man Liu. Other basic features.

1.56k views • 156 slides

Functions of Several Variables Partial Derivatives

8. Functions of Several Variables Partial Derivatives Maxima and Minima of Functions of Several Variables The Method of Least Squares Constrained Maxima and Minima and the Method of Lagrange Multipliers Double Integrals. Calculus of Several Variables. 8.1. Functions of Several Variables.

3.43k views • 136 slides

Functions of Several Variables Partial Derivatives

8. Functions of Several Variables Partial Derivatives Maxima and Minima of Functions of Several Variables The Method of Least Squares Constrained Maxima and Minima and the Method of Lagrange Multipliers Double Integrals. Calculus of Several Variables. 8.1. Functions of Several Variables.

1.72k views • 136 slides

CS559: Computer Graphics

CS559: Computer Graphics. Lecture 27: Texture Mapping Li Zhang Spring 2008. Texture Mapping. Many slides from Ravi Ramamoorthi, Columbia Univ, Greg Humphreys, UVA and Rosalee Wolfe, DePaul tutorial teaching texture mapping visually. Today. Continue on texture mapping. Adding Visual Detail.

1.22k views • 93 slides

611 views • 47 slides

Introduction to 3D Graphics Lecture 3: General Camera Model

Introduction to 3D Graphics Lecture 3: General Camera Model. Anthony Steed University College London. Overview. More Maths Rotations and translations Homogenous co-ordinates General Camera Specification Mapping to world coordinates. Vectors and Matrices.

444 views • 36 slides

MAC 2103

MAC 2103. Module 5 Vectors in 2-Space and 3-Space II. Learning Objectives. Upon completing this module, you should be able to: Determine the cross product of a vector in ? 3 . Determine a scalar triple product of three vectors in ? 3 .

288 views • 28 slides

CS559: Computer Graphics

CS559: Computer Graphics. Lecture 27: Texture Mapping Li Zhang Spring 2008. Many slides from Ravi Ramamoorthi, Columbia Univ, Greg Humphreys, UVA and Rosalee Wolfe, DePaul tutorial teaching texture mapping visually, Jingyi Yu, U Kentucky. Today. Continue on Texture mapping Reading

253 views • 25 slides

Photogrammetry (Camera Models)

Photogrammetry (Camera Models). The basic pinhole model. Euclidean 3-space R3 to Euclidean 2-space R2. Central projection using homogeneous coordinates. Homogeneous 4-vector. Homogeneous Camera Projection Matrix. Principal point offset. Principal point offset.

617 views • 24 slides

Branched Polymers

Branched Polymers. joint work with Rick Kenyon, Brown. Peter Winkler, Dartmouth. self-avoiding random walks. hard-core model. random independent sets. monomer-dimer. random matchings. branched polymers. random lattice trees. Potts model. random colorings. linear polymers.

375 views • 22 slides

Homogeneous Transformation

Homogeneous Transformation. Ref: Richard Paul Chap. 1. Notation. Vector: v Plane: P Frame: I, A Point in space: p Point p as a vector v in frame E: E v Same point as a vector w in frame H: H w. Discussion is in 3-space. Vectors. Homogeneous coordinate w. Inner (dot) product.

737 views • 20 slides

Tiling Space with Regular and Semi-regular Polyhedra

Tiling Space with Regular and Semi-regular Polyhedra.

609 views • 19 slides

The Holographic Universe: From Beginning to End

The Holographic Universe: From Beginning to End. NCHU Workshop, U of M, Oct 18-21, 2010. Why did the universe begin its life with low entropy?. Question goes back to Boltzmann. Emphasized in 1960s by Penrose. Subsumes questions about fine tuning: homogeneity, isotropy, flatness.

598 views • 18 slides

The Holographic Universe: From Beginning to End

The Holographic Universe: From Beginning to End. NCHU Workshop, U of M, Oct 18-21, 2010. Why did the universe begin its life with low entropy?. Question goes back to Boltzmann. Emphasized in 1960s by Penrose. Subsumes questions about fine tuning: homogeneity, isotropy, flatness.

184 views • 18 slides

Section 3.4

338 views • 13 slides

Advance Calculus

Advance Calculus. Chapter one Vectors And The Geometry Of Space. The Euclidean 2-space. The Euclidean 2-space denoted by R 2 is the set {( x,y ) | x,y ? R}. The Euclidean 3-space. The Euclidean 3-space denoted by R 3 is the set

145 views • 13 slides

Pole/polar

Pole/polar. consider projective geometry again we may want to compute the tangents of a curve that pass through a point (e.g., visibility) let C be a conic and x a point if x lies on the conic, we know that Cx is the tangent at x

105 views • 9 slides

Definitions :

208 views • 7 slides

Section 3.2

Section 3.2. Norm of a Vector; Vector Arithmetic. PROPERTIES OF VECTOR ARITHMETIC. Theorem 3.2.1 : If u , v , and w are vectors in 2- or 3-space and k and l are scalars, then the following relationships hold. (a) u + v = v + u (b) ( u + v ) + w = u + ( v + w )

158 views • 5 slides