... own right 1. 1 Who Should Take This Class The main goal of this class is to present a collection of mathematical tools for both understanding and solving problems in robotics and computer vision ... superposition of forces states that if force f1 produces acceleration a1 (both possibly vectors) and force f produces acceleration a2, then the combined force f1 + f2 produces accel...
Ngày tải lên: 10/08/2014, 02:20
... kck, and kb ; ck yields kb ; ck2 = kbk2 + kck2 ; 2kbk kck cos and from equation (2. 8) we obtain bT b + cT c ; 2bT c = bT b + cT c ; 2kbk kck cos : Canceling equal terms and dividing by -2 yields ... is j =2 j j m 2 X kbk = b1 + k j =2 bj ej k : Pythagoras’ theorem can now be applied again to the last sum by singling out its first term conclusion, kbk2 = m X j =1 b e2 , and so fo...
Ngày tải lên: 10/08/2014, 02:20
EBook - Mathematical Methods for Robotics and Vision Part 4 docx
... Since we look for the minimum-norm solution, that is, for the shortest vector x, we also want the shortest y, because x and y are related by an orthogonal transformation We therefore set yr+1 ... therefore unique: minimum residual forces the choice of y1 : : : yr , and minimum-norm solution forces the other entries of y Thus, the minimum-norm, least-squares solution to the original sy...
Ngày tải lên: 10/08/2014, 02:20
EBook - Mathematical Methods for Robotics and Vision Part 5 ppt
... most problems in robotics, vision, and arguably every other science or endeavor take on the form of optimization problems One is that the desired goal may not be achievable, and so we try to ... yk+1 arguments and proofs below are adapted from D G Luenberger, Introduction to Linear and Nonlinear Programming, Addison-Wesley, 1973 From the definition of e and from equation (4 .5) we...
Ngày tải lên: 10/08/2014, 02:20
EBook - Mathematical Methods for Robotics and Vision Part 8 pdf
... : (5.13) If x = ei , the i-th column of the n n identity matrix, B e i is the i-th column of B , and B H ei is the i-th column of B H , which is the conjugate of the i-th row of B Since conjugation ... but so do, for instance, unitary (and therefore also real orthogonal) matrices: UU H = U H U = I : Thus, Hermitian, real symmetric, unitary, and orthogonal matrices are all normal 68...
Ngày tải lên: 10/08/2014, 02:20
EBook - Mathematical Methods for Robotics and Vision Part 10 ppsx
... “iterative” in computer science 7.3 STATE ESTIMATION 89 yk-1 yk yk+1 time k-1 k+1 k ^ yk | k-1 Hk ^ xk-1 | k-1 Pk-1 | k-1 propagate ^ xk | k-1 Pk | k-1 update ^ xk | k Pk | k propagate ^ xk+1 | k Pk+1 ... “Kalman filter-based algorithms for estimating depth from image sequences,” International Journal of Computer Vision, 3(3):20 9-2 36, September 1989; and T.J Broida, S Chandrashekhar,...
Ngày tải lên: 10/08/2014, 02:20
EBook - Mathematical Methods for Robotics and Vision Part 11 potx
... since E 93 Ln] = L E n] and E n] = For this to hold for all x we need I ; LH = And now the main result Theorem 7.4.2 The Best Linear Unbiased Estimator (BLUE) ^ = Ly x for the measurement model ... matrices, and the Kalman filter makes optimal use of this information for a proper weighting of each of the scalar equations in (7.23) Better information ought to yield more accurate r...
Ngày tải lên: 10/08/2014, 02:20
Ebook Quantitative finance for physicists an introduction Part 2
... gE[R1 ] þ (1 À g)E[R2 ] (10:1:5) 113 Portfolio Management and the portfolio standard deviation is s2 ¼ g2 s1 þ (1 À g )2 s2 þ 2g(1 À g)s 12 (10:1:6) In (10.1.6), s 12 is the covariance between the ... long-range half-life of about 2. 7 years Similarly, y2 (t þ 1) ¼ r2 y2 (t) þ Z2 (t þ 1) (8:3:4) where Z2 (t) is an independent Gaussian adjusted so that var[y2 (t)] ¼ The chosen value r2 ¼...
Ngày tải lên: 18/05/2017, 10:28
Cambridge.University.Press.Vascular.Disease.A.Handbook.for.Nurses.Oct.2005.pdf
Ngày tải lên: 21/09/2012, 11:02
600 ESSENTIAL WORDS FOR TOEIC part 1
... Entertainment 41 Movies 42 Theater 43 Music 44 Museums 45 Media 13 7 14 0 14 3 14 6 14 9 15 2 Word Review #9 Lessons 46-50 12 0 12 3 12 6 12 9 13 2 13 5 Word Review #8 Lessons 41- 45 10 3 10 6 10 9 11 2 11 5 11 8 Word ... 16 -20 10 13 16 Word Review #1 Lessons 11 -15 v General Business Lessons 6 -10 v v Financing and Budgeting 21 22 23 24 25 Banking Accounting Invest...
Ngày tải lên: 15/04/2013, 10:12