(a) To explain: Whether the work use one-point perspective, two-point perspective or three-point perspective.

Question

Assume that you fancy polynomial splines, while you actually need ƒ(t) = e²/3 – 1 for t€ [−1, 1]. See the figure for a plot of f(t). Your goal is to approximate f(t) with an inter- polating polynomial spline of degree d that is given as sa(t) = • Σk=0 Pd,k bd,k(t) so that sd(tk) = = Pd,k for tk = −1 + 2 (given d > 0) with basis functions bd,k(t) = Σi±0 Cd,k,i = • The special case of d 0 is trivial: the only basis function b0,0 (t) is constant 1 and so(t) is thus constant po,0 for all t = [−1, 1]. ...9 The d+1 basis functions bd,k (t) form a ba- sis Bd {ba,o(t), ba,1(t), bd,d(t)} of the function space of all possible sα (t) functions. Clearly, you wish to find out, which of them given a particular maximal degree d is the best-possible approximation of f(t) in the least- squares sense. _ 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1 function f(t) = exp((2t)/3) - 1 to project -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5…

Answer 1

Question

Chapter 8.CR, Problem 51CR

To determine

(a)

To explain:

Whether the work use one-point perspective, two-point perspective or three-point perspective.

To determine

(b)

To explain:

The location of the vanishing point.

To determine

(c)

To explain:

Whether a small feature of the painting has its own vanishing point is present or not.

To determine

(d)

To explain:

Whether two different main parts of a painting have separate vanishing points are present or not.

To determine

(e)

To explain:

Whether the painting use foreshortening.

To determine

(f)

To explain:

Whether the painting have pavement.

To determine

(g)

To explain:

Whether the painting uses an Albertian grid on the ceiling or the walls.

To determine

(h)

To explain:

Whether the painting's horizon lint an actual part of the painting.

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Assume that you fancy polynomial splines, while you actually need ƒ(t) = e²/3 – 1 for t€ [−1, 1]. See the figure for a plot of f(t). Your goal is to approximate f(t) with an inter- polating polynomial spline of degree d that is given as sa(t) = • Σk=0 Pd,k bd,k(t) so that sd(tk) = = Pd,k for tk = −1 + 2 (given d > 0) with basis functions bd,k(t) = Σi±0 Cd,k,i = • The special case of d 0 is trivial: the only basis function b0,0 (t) is constant 1 and so(t) is thus constant po,0 for all t = [−1, 1]. ...9 The d+1 basis functions bd,k (t) form a ba- sis Bd {ba,o(t), ba,1(t), bd,d(t)} of the function space of all possible sα (t) functions. Clearly, you wish to find out, which of them given a particular maximal degree d is the best-possible approximation of f(t) in the least- squares sense. _ 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1 function f(t) = exp((2t)/3) - 1 to project -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5…

An image processor considered a 750×750 pixels large subset of an image and converted it into gray-scale, resulting in matrix gIn - a false-color visualization of gIn is shown in the top-left below. He prepared a two-dim. box filter f1 as a 25×25 matrix with only the 5×5 values in the middle being non-zero – this filter is shown in the top-middle position below. He then convolved £1 with itself to get £2, before convolving £2 with itself to get f3. In both of the steps, he maintained the 25×25 size. Next, he convolved gIn with £3 to get gl. Which of the six panels below shows g1? Argue by explaining all the steps, so far: What did the image processor do when preparing ₤3? What image processing operation (from gin to g1) did he prepare and what's the effect that can be seen? Next, he convolved the rows of f3 with filter 1/2 (-1, 8, 0, -8, 1) to get f4 - you find a visualization of filter f 4 below. He then convolved gIn with f4 to get g2 and you can find the result shown below. What…

3ur Colors are enchanting and elusive. A multitude of color systems has been proposed over a three-digits number of years - maybe more than the number of purposes that they serve... - Everyone knows the additive RGB color system – we usually serve light-emitting IT components like monitors with colors in that system. Here, we use c = (r, g, b) RGB with r, g, bЄ [0,1] to describe a color c. = T For printing, however, we usually use the subtractive CMY color system. The same color c becomes c = (c, m, y) CMY (1-c, 1-m, 1-y) RGB Note how we use subscripts to indicate with coordinate system the coordinates correspond to. Explain, why it is not possible to find a linear transformation between RGB and CMY coordinates. Farbenlehr c von Goethe Erster Band. Roſt einen Defte mit fergen up Tübingen, is et 3. Cotta'fden Babarblung. ISIO Homogeneous coordinates give us a work-around: If we specify colors in 4D, instead, with the 4th coordinate being the homogeneous coordinate h so that every actual…

Answer 2

Question

Chapter 8.CR, Problem 51CR

To determine

(a)

To explain:

Whether the work use one-point perspective, two-point perspective or three-point perspective.

To determine

(b)

To explain:

The location of the vanishing point.

To determine

(c)

To explain:

Whether a small feature of the painting has its own vanishing point is present or not.

To determine

(d)

To explain:

Whether two different main parts of a painting have separate vanishing points are present or not.

To determine

(e)

To explain:

Whether the painting use foreshortening.

To determine

(f)

To explain:

Whether the painting have pavement.

To determine

(g)

To explain:

Whether the painting uses an Albertian grid on the ceiling or the walls.

To determine

(h)

To explain:

Whether the painting's horizon lint an actual part of the painting.

Expert Solution & Answer

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Answer 3

Question

Chapter 8.CR, Problem 51CR

To determine

(a)

To explain:

Whether the work use one-point perspective, two-point perspective or three-point perspective.

To determine

(b)

To explain:

The location of the vanishing point.

To determine

(c)

To explain:

Whether a small feature of the painting has its own vanishing point is present or not.

To determine

(d)

To explain:

Whether two different main parts of a painting have separate vanishing points are present or not.

To determine

(e)

To explain:

Whether the painting use foreshortening.

To determine

(f)

To explain:

Whether the painting have pavement.

To determine

(g)

To explain:

Whether the painting uses an Albertian grid on the ceiling or the walls.

To determine

(h)

To explain:

Whether the painting's horizon lint an actual part of the painting.

Expert Solution & Answer

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Answer 4

Question

Chapter 8.CR, Problem 51CR

To determine

(a)

To explain:

Whether the work use one-point perspective, two-point perspective or three-point perspective.

To determine

(b)

To explain:

The location of the vanishing point.

To determine

(c)

To explain:

Whether a small feature of the painting has its own vanishing point is present or not.

To determine

(d)

To explain:

Whether two different main parts of a painting have separate vanishing points are present or not.

To determine

(e)

To explain:

Whether the painting use foreshortening.

To determine

(f)

To explain:

Whether the painting have pavement.

To determine

(g)

To explain:

Whether the painting uses an Albertian grid on the ceiling or the walls.

To determine

(h)

To explain:

Whether the painting's horizon lint an actual part of the painting.

Expert Solution & Answer

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Answer 5

Chapter 8.CR, Problem 51CR

To determine

(a)

To explain:

Whether the work use one-point perspective, two-point perspective or three-point perspective.

To determine

(b)

To explain:

The location of the vanishing point.

To determine

(c)

To explain:

Whether a small feature of the painting has its own vanishing point is present or not.

To determine

(d)

To explain:

Whether two different main parts of a painting have separate vanishing points are present or not.

To determine

(e)

To explain:

Whether the painting use foreshortening.

To determine

(f)

To explain:

Whether the painting have pavement.

To determine

(g)

To explain:

Whether the painting uses an Albertian grid on the ceiling or the walls.

To determine

(h)

To explain:

Whether the painting's horizon lint an actual part of the painting.

Answer 6

Chapter 8.CR, Problem 51CR

To determine

(a)

To explain:

Whether the work use one-point perspective, two-point perspective or three-point perspective.

Answer 7

Chapter 8.CR, Problem 51CR

To determine

(a)

To explain:

Whether the work use one-point perspective, two-point perspective or three-point perspective.

Answer 8

To determine

(b)

To explain:

The location of the vanishing point.

Answer 9

To determine

(b)

To explain:

The location of the vanishing point.

Answer 10

To determine

(c)

To explain:

Whether a small feature of the painting has its own vanishing point is present or not.

Answer 11

To determine

(c)

To explain:

Whether a small feature of the painting has its own vanishing point is present or not.

Answer 12

To determine

(d)

To explain:

Whether two different main parts of a painting have separate vanishing points are present or not.

Answer 13

To determine

(d)

To explain:

Whether two different main parts of a painting have separate vanishing points are present or not.

Answer 14

To determine

(e)

To explain:

Whether the painting use foreshortening.

Answer 15

To determine

(e)

To explain:

Whether the painting use foreshortening.

Answer 16

To determine

(f)

To explain:

Whether the painting have pavement.

Answer 17

To determine

(f)

To explain:

Whether the painting have pavement.

Answer 18

To determine

(g)

To explain:

Whether the painting uses an Albertian grid on the ceiling or the walls.

Answer 19

To determine

(g)

To explain:

Whether the painting uses an Albertian grid on the ceiling or the walls.

Answer 20

To determine

(h)

To explain:

Whether the painting's horizon lint an actual part of the painting.

Answer 21

To determine

(h)

To explain:

Whether the painting's horizon lint an actual part of the painting.

Answer 22

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Answer 23

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Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - Prob. 4E Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - In Exercise 9 and 10, find a the area and b the...Ch. 8.1 - Prob. 10E

(a) To explain: Whether the work use one-point perspective, two-point perspective or three-point perspective.

Solution Summary: The author analyzes how the painting uses one-point perspective. The focus on girl is vanishing point in the given picture.

Videos

(a)

To explain:

Whether the work use one-point perspective, two-point perspective or three-point perspective.

(b)

To explain:

The location of the vanishing point.

(c)

To explain:

Whether a small feature of the painting has its own vanishing point is present or not.

(d)

To explain:

Whether two different main parts of a painting have separate vanishing points are present or not.

(e)

To explain:

Whether the painting use foreshortening.

(f)

To explain:

Whether the painting have pavement.

(g)

To explain:

Whether the painting uses an Albertian grid on the ceiling or the walls.

(h)

To explain:

Whether the painting's horizon lint an actual part of the painting.

Chapter 8 Solutions

(a) To explain: Whether the work use one-point perspective, two-point perspective or three-point perspective.

Solution Summary: The author analyzes how the painting uses one-point perspective. The focus on girl is vanishing point in the given picture.

Videos

(a) To explain: Whether the work use one-point perspective, two-point perspective or three-point perspective.

(b) To explain: The location of the vanishing point.

(c) To explain: Whether a small feature of the painting has its own vanishing point is present or not.

(d) To explain: Whether two different main parts of a painting have separate vanishing points are present or not.

(e) To explain: Whether the painting use foreshortening.

(f) To explain: Whether the painting have pavement.

(g) To explain: Whether the painting uses an Albertian grid on the ceiling or the walls.

(h) To explain: Whether the painting's horizon lint an actual part of the painting.

Chapter 8 Solutions

(a)

To explain:

Whether the work use one-point perspective, two-point perspective or three-point perspective.

(b)

To explain:

The location of the vanishing point.

(c)

To explain:

Whether a small feature of the painting has its own vanishing point is present or not.

(d)

To explain:

Whether two different main parts of a painting have separate vanishing points are present or not.

(e)

To explain:

Whether the painting use foreshortening.

(f)

To explain:

Whether the painting have pavement.

(g)

To explain:

Whether the painting uses an Albertian grid on the ceiling or the walls.

(h)

To explain:

Whether the painting's horizon lint an actual part of the painting.