1 This type is called affine.

2 Understanding affine transformations requires considerable mathematical sophistication.

3 Affine invariance is an important research field about it.

4 This paper proposes an overlapped block affine motion compensation method to improve the translational motion model used in H. 263, and it improved the quality of image with complicated motion.

5 The charaters after affine transformation can also be recognized by a dyadic wavelet affine invariant function.

6 The stress field is achieved by affine transformation through the complex function theory.

7 A non - affine nonlinear model for a single - machine infinite - bus system with static VAR compensator ( SVC ) is established.

8 Based on the encryption principle of affine cipher, a frequency transition function of DFH is designed.

9 Affine frame is a very basic concept in wavelet theory.

10 This paper gives a proof about the fundamental theorem(and the inverse theorem)on the affine groups of motions in the affinely connected spaces.

11 First, we relax the uncertainty set to be intersection of a closed convex cone and the translation of an affine subspace.

12 In this paper we applied B-spline interpolatory graphical display algorithm to image affine transform.

13 Chinese character formation module used a code check algorithm to check the input code, divided the prototypes and structures, and applied affine transformation to form Chinese character.

14 In this paper, we prove that invertible dynamic feedback linearizability is equivalent to linearizability by adding integrators for up to 4 dimensional affine nonlinear systems.

15 It has been proved by experiments that this algorithm is high imperceptibility , high capacity, and robust to affine transformation and JPEG lossy compression.

16 Secondly, the wrong match points were deleted based on the Mahalanobis distance with affine invariance.

17 The robustly dissipative synthesis problem is discussed for a class of affine nonlinear uncertain systems with input-output feedthrough.

18 These observations allow one to formalize the definition of reflection: a reflection is an involutive isometry of an Euclidean space whose set of fixed points is an affine subspace of codimension 1.

19 All the current geometric hashing methods are just suitable for the object recognition under affine transformation.

20 Affine inverse functions derived from the inverse function composed with affine permutations possess good cryptographic properties.

21 The interconnection and damping assignment passivity-based control (IDA-PBC) methodology is extended to solve the regulation problem of affine nonlinear differential algebraic system.

22 Four natures about projection of a group of conjugate radiuses of the ellipse and ellipsoid on other group are proved by the principles of affine transformation.

23 Thellos is done to enable separate analysis of the uniform and non - affine components of shape variation.

24 In any case, normed has a very precise sense in the breakthrough from affine geometry to metric geometry.

25 In this note, we find that one can construct affine geometry AG(3, n)using planar mappings from a cyclic group N of order n to itself.

26 This paper discribes the method of graphing space geometry by affine transformation.

27 This paper revealed an optimized strategy to search for systolic array transformations for nested loops, when the upper and lower bound of inner index was affine functions of there outer loop indexes.

28 Based on the complex function theory, the stress field was achieved by affine transformation.

29 We obtain an estimation about the Hausdorff dimension of self - affine sets.

30 A sampled-data control system approach is presented to a class of affine nonlinear networked control systems described by a hybrid dynamic system model.

31 It is possible an affine transformation to be applied to glyph images when they are loaded.

32 By using implicit function theorem, Taylor's formula and mean theorem, the form of the non-affine nonlinear systems is transformed into the form of affine nonlinear systems.

33 With the use of a robust error mapping function, an affine model-based target tracking algorithm is formulated, in which a quasi-Newton's iterative method is implemented in the optimization progress.

34 The global Fourier transform can also be obtained by switching(up to sign) the multiplication by a coordinate of the affine line and the differential operator with respect to this coordinate.

35 The robust passivity synthesis problem is concerned for a class of affine nonlinear systems with bounded-norm uncertainties.

36 Comparison of the new methods with the old ones by simulated images revealed that higher efficient and accuracy could be achieved by introducing affine transform into initial parameter vector.

37 Complete classification of affine spheres with constant cross section curvature in 4-dimensional affine space is given.

38 It mainly comprises global affine transformation attack and local random bending attack.

39 In this paper, we define real form of infinite rank affine Lie Algebra and we also give its some types of compact real form which is proved unique under automorphism.

40 In the matching phrase normalized distance and Mahalanobis distance are used to identify the view class and build the affine matrix.

41 The piecewise self - affine fractal model was explored for data coding and reconstruction of vibration signal.

42 A new affine invariants based on affine geometry for object recognition and matching is proposed in the paper.

43 Line drawing of complex objects not only includes scenograph, affine graph, linear projective graph and nonlinear projective graph,(http://) but also freehand sketch and graphics drew from images.

44 In this paper, the author applies affine reduced operation to the model based secant method and gives a new method to look for the descent direction for solving unconstrained minimization problem.

45 It selected corners as features, removed influence of image stretch, skew, rotation, and translation by calculating affine invariant, so matching accuracy and speed were improved.

46 The homography between corresponding matching windows can be approximated an affine model.

47 The concept of weak block design is proposed in this paper. Based on affine geometry and projective geometry, affine manifold codes and projective manifold codes are constructed.

48 Two different methods based on the plane similitude conversion and affine linear transformation are put forward, conversion accuracy is analyzed, finally useful results are obtained.

49 A new method that combines the ellipsoid method and affine arithmetic is presented.

50 This paper concerns the ratio of centro - affine invarients for a projection body.

51 The same LM algorithm is used to track the affine deformation parameters of the target.

52 Left-symmetric algebra (LSA) is a complex algebra system arising from the study of differential geometry, Lie groups, and affine manifolds.

53 The complex stress function were derived by the affine transformation to describe accurately the stress field.

54 A general affine transformation involves translation, scaling and rotation operations in three dimensionalspace.

55 In the graphical method of the oblique axonometry, the affine transformation is taken as the ellipse's principal direction and the size of the principal radius.

56 Affine arithmetic is not only used for estimate variations and correlations, but also helps to solve robust geometric programming combined with the ellipsoid method.

57 Three kinds of equivalent ciphers of AES are presented by separating S - boxes affine transformation.

58 An improved image recognition and registration algorithm based on convex hull and affine invariant was presented.

59 Finally, the anomalous scaling property of 3 - dimensional second - order factorial moments is obtained from self - affine analysis.

60 Second, we present and implement a data dependence analysis method for affine array subscript references by splitting the chain of recurrences.

61 Method Actual geometry of the bone was represented as a standard pretreated model of bone, which was auto located by employing an affine scaling transformation.

62 This paper introduces the application and graphic analysis of perspective affine transformations in axonometric ellipse.

63 A new tree height measurement is presented, which is based on affine reconstructive.

64 Establishing affine invariant similarity measure of shapes is one of the basic problems in pattern recognition, computer vision and image understanding domains.

65 A fractal object is self - affine instead of self - similar if it has scaling property in different direction.

66 This paper introduces the concept of affine geometry on some free F-module with finite rank and discusses its incidence properties.