本篇文章给大家谈谈VectorMathfor3DComputerGraphics，同时本文还将给你拓展6GEN715–ComputerGraphics、c#graphics.RotateTransfo

本篇文章给大家谈谈Vector Math for 3D Computer Graphics，同时本文还将给你拓展6GEN715 – Computer Graphics、c# graphics.RotateTransform vs. graphics.Transform.Rotate、C++：错误无法从 std::vector* 转换为 std::vector >、COMP3811: Computer Graphics等相关知识，希望对各位有所帮助，不要忘了收藏本站喔。

• Vector Math for 3D Computer Graphics
• 6GEN715 – Computer Graphics
• c# graphics.RotateTransform vs. graphics.Transform.Rotate
• C++：错误无法从 std::vector* 转换为 std::vector >
• COMP3811: Computer Graphics

Vector Math for 3D Computer Graphics

http://programmedlessons.org/VectorLessons/vectorIndex.html#09

Vector Math for 3D Computer Graphics

http://www.nfostergames.com/Lessons/VectorMath.htm  向量数学的解释

http://blog.sina.com.cn/s/blog_6e521a600100ni5s.html  叉积方向确定和两个点组成的向量方向

http://physics.about.com/od/mathematics/a/VectorMath.htm

http://en.wikipedia.org/wiki/Vector_space  

http://hyperphysics.phy-astr.gsu.edu/hbase/vect.html 基本的向量计算

http://www.pep.com.cn/gzsxb/jszx/gsbzt/6th/lunwen/201110/t20111024_1076803.htm 浅谈用“向量法”解决解析几何、立体几何、三角、平面几何问题

法线是定义面或顶点指向方向的向量。法线的方向指示了面或顶点的前方或外曲面。

可以手动翻转或统一面法线，以解决由建模操作或从其他程序中导入网格所引起的曲面错误。

http://school.3dmax8.com/cankao/3dsmax_web/normal_glossary.html

格拉斯曼

http://baike.baidu.com/view/426208.htm

叉积

http://zh.wikipedia.org/wiki/%E5%8F%89%E7%A7%AF

6GEN715 – Computer Graphics

December 18, 2017 [6GEN715 PROJECT INSTRUCTIONS]

6GEN715 – Computer Graphics
Project Instructions
Dr. Yawei Liang at RMC
2017-12
o The project is worth 20% of your final mark of this course.
o The final report is to be completed by Dec. 29, 2017. A project mark of zero will be assigned
if you submit anything late.
o Project presentations are to be during the last but one day of teaching.

1. Overview
   Objective: In a group of not more than 4 students, you have to use OpenGL to create a virtual
   home on a piece of land, such as:

And there is at least one tree beside your dream home and your program should enable to view
the virtual environment from different viewpoints.
December 18, 2017 [6GEN715 PROJECT INSTRUCTIONS]
Dr. Yawei Liang, RMCC Page 2
Three steps are designed to fulfil this project:

1. Group not more than 4 students as a team.
2. Design and build your model and implement the model, test; and give a demo to the class
   at the end of 2nd week teaching.
3. Write a report on your project and explain what OpenGL techniques you use, and what
   you would like to learn more to make your home better displayed.
   A minimum project could be an idea of using some Computer Graphics (CG) technique(s) to
   create a virtual environment. A better project could include the idea and a suggestion of an
   implementation choosing from many others possible implementations. A desired project should
   not only discuss the idea and the implementation, but also have an attempted implementation and
   analysis of your results.
4. Demo Days - 10 Marks
   May 16 will be the Demo Day; you should be prepared to demonstrate your working project to
   our class.
   You will get up to 10 marks (2 each) for the following categories:
   (H) house - A house should be created and displayed.
   (T) tree- At least one tree should be created and displayed.
   (S) Sun – the sun is a must object.
   (E) extra environment object(s) - you can create any other extra object on the piece of
   land you have.
   (V) viewpoints - your program should enable viewer to view your home with different
   angles.
   All presentations must be in Visual C++ with OpenGL with or without GLSL. Upload your
   whole project into a specified folder in the teacher’s computer within the lab before you present
   your project.
5. Final Report - 10 Marks
   You are expected to write a final report in Word format based on your experience. You should
   describe what you planned to do, what had been done, why it was worthwhile, and provided a
   good learning experience.
   The total length of your report should be no more than 1500 words. Include any tables, diagrams
   and algorithm(s) needed to illustrate your work. Shorter is OK, as long as you feel you''ve said
   what needs to be said. Your report should have five sections and an appendix, as described below:
   December 18, 2017 [6GEN715 PROJECT INSTRUCTIONS]
   Dr. Yawei Liang, RMCC Page 3
6. Cover Page. With the Grading Form (attached in the same folder of this file), followed by
   your name and student number.
7. Introduction and Motivation. Discuss what the problem you''re dealing with in this project is;
   how you would solve it.
8. Design and Implementations. Describe how your solution works, the major steps of your
   implementation of the proposed solution. Do include some screenshots of your final demo into
   your report.
9. Shortcomings. Describe any known errors or omissions in your implementation. Like all
   scientific work, it is your duty to be honest. You will not have marks deducted for honesty.
10. Conclusions. Summarize your project in a few words, and say what you would do differently
    if you were going to do it all over again.
11. Appendix. You should include any special instructions (e.g. how to install and run your
    program).
    The report will be marked out of 10 marks, with 2 marks each for:
    (C) clarity - Does your report explain everything that you did?
    (D) design - Did you design your implementation well? Did you use any CG technique(s)
    where appropriate?
    (E) English - Are there any spelling or grammatical errors? Is your writing clear and
    succinct?
    (N) neatness - Are the text, code and figures laid out well? Is your writing/printing legible?
    (T) thoroughness - Is the report complete? Did you leave important things out? Did you
    forget to describe important cases, rules, or program behaviour? Did you make errors in
    your project that aren''t listed in the shortcomings?
    The deadline for submitting the report is on Dec. 29, 2017. This report must be uploaded into the
    same folder of your project in the teacher’s computer within the lab.
    WX：codehelp

c# graphics.RotateTransform vs. graphics.Transform.Rotate

如何解决c# graphics.RotateTransform vs. graphics.Transform.Rotate

我想弄清楚这里发生了什么：

有一个名为 System.Drawing.drawing2d.Graphics 的 g 对象。

g.Transform 具有以下值：

[0] = 1
[1] = 0
[2] = 0
[3] = -1
[4] = 0
[5] = 1122.66663

什么时候做

int minAngle = 0;
g.Transform.Rotate(360 - minAngle);

我为 g.Transform 属性获得了相同的元素：

[0] = 1
[1] = 0
[2] = 0
[3] = -1
[4] = 0
[5] = 1122.66663

但是当我这样做时：

int minAngle = 0;
g.RotateTransform(360 - minAngle);

我为 g.Transform 属性获取了这些元素：

[0] = 0.99999994
[1] = 3.019916E-07
[2] = 3.019916E-07
[3] = -0.99999994
[4] = 0
[5] = 1122.66663

为什么这两种方法之间有如此大的舍入差异，它们似乎都在做同样的事情：修改世界变换？

除了浮点舍入“问题”之外，使用rotateTransfrom 和transform.rotate 有什么区别吗？

（.NET 框架 4.8）

C++：错误无法从 std::vector* 转换为 std::vector >

如何解决C++：错误无法从 std::vector<int>* 转换为 std::vector<std::vector<int> >

我想使用 vector<int> adj[] 作为我的参数和 vector<vector<int>> 作为我的返回函数类型，但这样做会导致错误：返回向量 adj 时会发生这种情况。

Could not convert adj from std::vector<int>* to std::vector<std::vector<int> >
          return adj;

我该如何解决这个问题？

这是我的程序：

  vector<vector<int>>printGraph(int V,vector<int> adj[])
        {
             for ( int i = 0 ; i < V ; i ++)
             {
                for (auto x : adj[i])
                cout << x;
                cout<<"\\n";
             }
             
             return adj;
        }

解决方法

return { adj,adj + V };

#include <iostream>
#include <vector>

using namespace std;

void printGraph(int V,vector<int> adj[])
{
    for (int i = 0; i < V; i++) {
        for (auto x : adj[i]) {
            cout << x << endl;
        }
    }
}

int main()
{
    vector<int> cat{ 1,2,3,4 };
    vector<int> arr[4] = { cat,cat,cat };
    printGraph(4,arr);
}

COMP3811: Computer Graphics

COMP3811: Computer Graphics
Coursework 1
Rasterization
Due Date: 5 November 2021, 5 pm
Marc de Kamps, Markus Billeter
October 22, 2021
Marking
This coursework is summative and counts towards your final mark for 30 % (total coursework counts
for 100 %).
Submission Instruction and Note on Plagiarism
Submission should be done through the VLE by the due date. Submissions through the SSO will be
ignored and result in 0 marks. Your submission should be in a single tar (not rar!) file that contains
a report and source code. Source code must be provided with a Makefile and must compile and run
on the School’s machines (e.g., feng-linux, Bragg building machines).
Source code that does not compile and run will not be looked at and no marks will be awarded
to any programming exercise that it relates to. The report is basis for assessment, with the source
code as supporting evidence for assertions made in the report. Answer all the questions and provide
the explanations that are asked for. Refer to your code in explanations, but do not provide answers
like: ’see source code’.
You are allowed to discuss ideas with colleagues. You must program independently and not base
your submission on any other code than is provided with this coursework assignment, which is in
a tar file called cw1.tar.gz, which is located in the coursework 1 folder on the VLE, the same
folder which contains this specification. Changing variable names in someone else’s code is not a
good idea.
Drawing lines
Unpack the tar file. Run qmake and make as you have been taught in the tutorial. Run the resulting
pixelate application. The application window shows a rasterized screen with a single red pixel.
The PixelWidget.cpp contains a method DefinePixelValues
v oi d Pi x elWi d g et : : D e f i n e P i x e l V a l u e s ( ) {
S e t P i x e l ( 1 9 , 9 , RGBVal ( 2 5 5 , 0 , 0 ) ) ;
}
It is clear that by adding SetPixel calls it is possible to construct larger primitives, made up from
pixels. We use this widget to make the effects of rasterization more visible.
1
Assigment 1: First make sure that you are able to set arbitrary pixels (within the widget) to arbitrary
RGB values. Adopt the following convention: a pair of floats define a pixel on the screen. The first
gives the horizontal distance in number of pixels from the top left corner, the second the vertical
distance. Add a method call DrawLine to the PixelWidget class that is able to take four floating
point values, the first two defining the starting point, and the second two the end point, and that
draws a line of white pixels between them. Use the parameterised version of a line to calculate the
pixels that will be hit between the two points. You must ensure that every pixel that contains the
mathematical ideal of the line lights up. This entails choosing steps that are small enough to ensure
you hit every pixels, but large enough to be not overly wasteful. Motivate your choice for a step
size. Make sure that this method is called in paintEvent, so that a line is drawn. Add a screenshot
to the report and explain whether the result is as expected.
[3 marks]
Assignment 2: Adapt the method you have just created so that it is able to accept an RGB value (use
struct RGBVal) for starting point, another one for end point and interpolate the colour along the line.
Again, add a screenshot to your report explaining the results.
[4 marks]
Assignment 3: Create a method that accepts three points and associated RGB values. Use barycentric
coordinates to interpolate pixels that are part of the triangle.
[4 marks]
Assignment 4: Implement the half plane test for determining whether a point is inside or outside
the triangle. Create a function called IsInside that takes as arguments the three vertices (each one
specified by two floats), defining the triangle and a point in pixel coordinates. Apply this function
to all pixels in your image. Produce a file which lists the barycentric coordinates of each pixel and
the result of your function. Perform a comparison between the results of your function and the
barycentric coordinates (you can do this in a separate script if you like). In your report describe the
method, and comment on whether the results are as expected.
WX：codehelp

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