'Orthogonal projection' presentation slideshows

3D Transformations

1.59k views • 156 slides

Lecture 12 Inner Product Space & Linear Transformation

Lecture 12 Inner Product Space & Linear Transformation. Last Time - Length and Dot Product in R n - Inner Product Spaces - Orthonormal Bases:Gram-Schmidt Process. Elementary Linear Algebra R. Larsen et al. (5 Edition) TKUEE ??? -NTUEE SCC_12_2007.

580 views • 52 slides

Lecture 11 Inner Product Space

Lecture 11 Inner Product Space. Last Time - Coordinates and Change of Basis - Applications - Length and Dot Product in R n. Elementary Linear Algebra R. Larsen et al. (5 Edition) TKUEE ??? -NTUEE SCC_11_2007. Lecture 11: Inner Product Spaces. Today

639 views • 50 slides

3.8 Inner Product Spaces

3.8 Inner Product Spaces. Euclidean n -space:

735 views • 50 slides

6.4 Best Approximation; Least Squares

6.4 Best Approximation; Least Squares. Theorem 6.4.1 Best Approximation Theorem. If W is a finite-dimensional subspace of an inner product space V, and if u is a vector in V, then proj W u is the best approximation to u form W in the sense that ? u - proj W u ? ? ? u - w ?

2.17k views • 45 slides

Computer Graphics - Chapter 5 Viewing

Computer Graphics - Chapter 5 Viewing. Objectives are to learn about: Different ways of creating different types of views. Why do we need different types of views? The viewing process has two parts:

403 views • 40 slides

Computer Graphics - Chapter 5 Viewing

Computer Graphics - Chapter 5 Viewing. Objectives are to learn about: Different ways of creating different types of views. Why do we need different types of views? The viewing process has two parts:

413 views • 40 slides

Viewing (Part 1)

Viewing (Part 1). Projection types Positioning of the camera Defining the camera frame Simple perspective projection matrix Simple orthogonal projection matrix. Orthographic Projections of a Temple. Viewing. (Center of Projection). Perspective Viewing.

514 views • 33 slides

Visualizing Objects in Multidimensional Space

Visualizing Objects in Multidimensional Space. Project Problem 2014 Math Contest University of Houston. Directions.

408 views • 33 slides

8.1. Inner Product Spaces

8.1. Inner Product Spaces. Inner product Linear functional Adjoint. Assume F is a subfield of R or C. Let V be a v.s. over F. An inner product on V is a function VxV -> F i.e., a,b in V -> (a|b) in F s.t. (a) (a+b|r)=(a|r)+(b|r) (b)( ca|r)=c(a|r) (c ) (b|a)=(a|b) -

1.02k views • 27 slides

The Main Menu

M 2. h 2. v 2 = v. Locus of M 2. 3 cm. v 1. x 12. 2 cm. h 1. Locus of M 1. M 1. Next. The Main Menu. ? Previous. Example (3). Given a plane (5,3,4). Represent M (?, 2, 3). o. R. M 2. m 2. C. M. x 12. B. D. A. m 1. m. Next. The Main Menu. ? Previous. Example (4).

317 views • 25 slides

QR decomposition: A = Q R Q is orthonormal R is upper triangular To find QR decomposition:

QR decomposition: A = Q R Q is orthonormal R is upper triangular To find QR decomposition: 1.) Q: Use Gram-Schmidt to find orthonormal basis for column space of A 2.) Let R = Q T A. Find the QR decomposition of A = . 4 3 .

1.43k views • 24 slides

Velocity Reconstruction from 3D Post-Stack Data in Frequency Domain

Velocity Reconstruction from 3D Post-Stack Data in Frequency Domain. Enrico Pieroni , Domenico Lahaye, Ernesto Bonomi Imaging & Numerical Geophysics area CRS4, Italy. Non-linear inversion of post stack data for velocity analysis.

331 views • 21 slides

Chapter Six Orthogonal Projection

Chapter Six Orthogonal Projection. Purpose. This chapter provides an overview of how to: understand the principles of third angle orthogonal projection produce a detailed orthogonal drawing of a component, including all information necessary for its manufacture.

410 views • 21 slides

CSC461: Lecture 20 Parallel Projections in OpenGL

CSC461: Lecture 20 Parallel Projections in OpenGL. Objectives Introduce OpenGL viewing functions Derive the projection matrices used for standard OpenGL projections Introduce oblique projections Introduce projection normalization Introduce hidden-surface removal algorithms.

209 views • 20 slides

3.VI. Projection

3.VI. Projection. 3.VI.1. Orthogonal Projection Into a Line 3.VI.2. Gram-Schmidt Orthogonalization 3.VI.3. Projection Into a Subspace. 3.VI.1. & 2. deal only with inner product spaces. 3.VI.3 is applicable to any direct sum space. 3.VI.1. Orthogonal Projection Into a Line.

456 views • 19 slides

Observing geocenter motion with GNSS

Insensitivity of GNSS to geocenter motion through the network shift approach Paul Rebischung, Zuheir Altamimi, Tim Springer AGU Fall Meeting 2013, San Francisco, December 9-13, 2013. Observing geocenter motion with GNSS. Degree-1 deformation approach (Blewitt et al., 2001):

301 views • 17 slides

706 views • 16 slides

LAHW#14

223 views • 9 slides