Question
As the following statement related geometric transformation, select the appropriate phrase from answer group, and fill in that symbol in the answer sheet. (allow duplicate
As the following statement related geometric transformation, select the appropriate phrase from answer group, and fill in that symbol in the answer sheet. (allow duplicate use of the phrase). In the homogeneous coordinate system, the position of the three-dimensional point is represented four parameters (x, y, z, 1) instead of three parameters (x, y, z) used in standard mathematics. Using a threeparameter position vector representation like (x, y, z), (1) transform cannot be represented in the form of the (2) of the original point vector and matrix in geometric transformations used in CG. Using a homogeneous coordinate system, all of (3) transformations can be expressed uniformly in the form of a product of a point position vector and a matrix. In addition, in order to perform multiple geometric transformations on an object, we first calculate the matrices representing of each individual geometric transformation, and then the (4) of these matrixes in the sequence of transformations represents these geometric transformations in a single matrix operation. Furthermore, the homogeneous coordinate system can express the transformation of (5) including the (6) in a variable in the form of the (7) of the matrix. [Answer group] (a) Parallel Projection (b) Perspective Projection (c) Rotation (d) Translation (e) Affine (f) Fourier (g) Sum (h) Product (i) Difference (j) Power (k) Division
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