目录
Combining Sketch and Tone for Pencil Drawing Production
paper content understanding
algorithm understand
| variable name | variable definition |
|---|---|
| \(img\) | input image |
| \(G\) | gradient map of \(img\) |
| \(L_{i}\) | \(i_{th}\) filter of conv computation |
| \(S\) | output line drawing part |
| \(J\) | textual map |
| \(R\) | output pencil drawing |
\(Algorithm\quad as\quad following\)
- line drawing with stoke
- gradient map \(G\) of \(img\)
- \(G = \sqrt{(\frac{\partial img}{\partial x})^{2} + (\frac{\partial img}{\partial y})^{2}}\)
- using convolution compute to get the response map
- \(G_{i} = L_{i} * G\)
- \(L_{i}\) is the \(i_{th}\)convolution filter, \(*\) is convolution compute
- save maximum of each pixel in \(G_{i}\) to \(C_{i}\)
- \(C_{i} = if\quad (argmin_{i}G_{i} == i)\quad then\quad G_{i}\quad else\quad 0\)
- sum up of \(C\) then get line drawing with stoke
- \(S = \sum_{i}{L_{i} * C_{i}}\)
- gradient map \(G\) of \(img\)
- texture
- separate \(img\) tone as 3 levels
- high level(bright) - Laplacian distribution
- \(p_{1}(v) = if\quad (v\le 1)\quad \frac{1}{\sigma_{b}}e^{-\frac{1 - v}{\sigma_{b}}}\quad else\quad 0\)
- middle level - average distribution
- \(p_{2}(v) = if\quad (u_{a}\le v \le u_{b})\quad \frac{1}{u_{a} - u_{b}}\quad else\quad 0\)
- low level(dark) - Gaussian distribution
- \(p_{3}(v) = \frac{1}{\sqrt{2\pi \sigma_{d}}}e^{-\frac{(v - \mu_{d})^{2}}{2\sigma_{d}^{2}}}\)
- high level(bright) - Laplacian distribution
- sum up of 3 level map above
- \(p(v) = \frac{1}{Z}\sum_{i = 1}^{3}\omega_{i}p_{i}(v)\)
- \(\omega_{i}\) is parameter that empower \(p_{i}(v)\)
- \(H\) is style map of pencil drawing, fitting \(J\) using \(H\), \(H(x)^{\beta(x)} \approx J(x)\)
- \(\beta^* = argmin_{\beta}||\beta \ln H - \ln J||_{2}^{2} + \lambda||\nabla\beta||_{2}^{2}\)
- get pencil drawing textual map
- \(T = H^{\beta^*}\)
- separate \(img\) tone as 3 levels
- stack 2 section above together, get output pencil drawing of \(img\)
- \(R = S·T\)
report outlines
- abstract
- related work
- our model
- comparison
- ending remarks
paper writing strategies note
Abstract
Para.1
- We propose …
我们提出了…
- … is also incorporated in
… 被添加了进来
Introduction
Para.1
- … is one of the most fundamental … in
说明重要性
- Pencil method general fall into two categories，
Pencil 方法大致分为两类
- The majority of … resorts to …
… 大部分的依靠…付诸实现（诉诸于完成）
- Consequently，
因此，
- substantial increase
大量的增长
Para.2
- In the literature,
在文献中，
- ~ is effortless
~ 毫不费力， 容易做得到
- accurately extracting and manipulating structures
精确提取和操作结构
\(e.g.\) It is because accurately extraction and manipulating structures, which is almost effortless using 3D models with unknown boundary and geometry, becomes challenging due to the existing of texture, noise, and illumination variation.
- spurious noise-like structures
虚假的噪声结构
- without ……, … become difficult
强调 … 的重要性
- … risk …
… 可能会导致
\(e.g.\) Adding directional hatching patterns using closely placed parallel lines risks laying them across different surfaces and depth layers, causing unnatural drawing effects.
Para.3
- … is paramount in … (doing)
… 在 … 中至关重要
- on the inherent difficulty to
固有的困难
Para.4
- differ out method from existing approaches
我们的方法与已有的方法相区别开
Related Work
来源：https://www.cnblogs.com/litun/p/12041475.html