""" Author: kinnala Visualise the Argyris basis functions. """ from skfem import * import matplotlib.pyplot as plt m = MeshTri.init_sqsymmetric() map = MappingAffine(m) e = ElementTriArgyris() ib = InteriorBasis(m, e, map, 5)…

OpenCascade B-Spline Basis Function eryar@163.com Abstract. B-splines are quite a bit more flexible than Bezier curves. This flexibility comes from the fact that you have much more control over the basis functions. For Bezier curves that each control…

In recent years, Kernel methods have received major attention, particularly due to the increased popularity of the Support Vector Machines. Kernel functions can be used in many applications as they provide a simple bridge from linearity to non-linear…

Source: MIT - Mindhive What is the 'canonical' HRF? The very simplest design matrix for a given experiment would simply represent the presence of a given condition with 1's and its absence with 0's in a that condition's column. That matrix would mode…

考虑不可分的例子         通过使用basis functions 使得不可分的线性模型变成可分的非线性模型 最常用的就是写出一个目标函数 并且使用梯度下降法 来计算     梯度的下降法的梯度计算                 关于线性和非线性的隐层 非线性隐层使得网络可以计算更加复杂的函数 线性隐层不能增强网络的表述能力,它们被用来做降维,减少训练需要的参数数目,这在nlp相关的模型中 经常用到(embedding vector)     一个back prop的例子        …

转自:http://www.asimovinstitute.org/neural-network-zoo/ THE NEURAL NETWORK ZOO POSTED ON SEPTEMBER 14, 2016 BY FJODOR VAN VEEN   With new neural network architectures popping up every now and then, it's hard to keep track of them all. Knowing all the a…

The author has a course on web: http://brickisland.net/DDGSpring2016/ It has more reading assignments and sliders which are good for you to understand ddg. ------------------------------------------------------------- DISCRETE DIFFERENTIAL GEOMETRY :…

-------------------------------------------------------------- Chapter 1: Introduction to Discrete Differential Geometry: The Geometry of Plane Curves . A better approximation than the tangent is the circle of curvature. . If the curve is sufficientl…

2ed,  by Timothy Sauer DEFINITION 1.3A solution is correct within p decimal places if the error is less than 0.5 × 10$^{−p}$ .-P29Bisection Method的优点是计算次数(step)是确定的(interval<精度).后面介绍的算法的interval是不确定的, 所以什么时候结束计算呢?不知道.所以定义“stopping criteria’’来决定什么时候结束…

1. 3D分析 1.1. 3D Features toolset 工具 工具 描述 3D Features toolset (3D 要素工具集) Add Z Information 添加 Z 信息 添加关于具有 Z 值的要素类中的要素的高程属性的信息. Buffer 3D 3D 缓冲 围绕点或线创建三维缓冲区以生成球形或圆柱形的多面体要素. Difference 3D 3D 差异 消除目标要素类中部分与减法要素类中闭合的多面体要素体积重叠的多面体要素. Enclose Multipatch 封闭…

Computer Graphics Research Software Helping you avoid re-inventing the wheel since 2009! Last updated December 5, 2012.Try searching this page for keywords like 'segmentation' or 'PLY'.If you would like to contribute links, please e-mail them to rms@…

Welcome back! This time, we’ll look into what is perhaps the “poster boy” feature introduced with the D3D11 / Shader 5.x hardware generation: Tessellation. This one is interesting both because it’s a fun topic, and because it marks the first time in…

colah's blog Blog About Contact Neural Networks, Manifolds, and Topology Posted on April 6, 2014 topology, neural networks, deep learning, manifold hypothesis Recently, there’s been a great deal of excitement and interest in deep neural networks beca…

subroutine basis_function_b_val ( tdata, tval, yval ) ! !******************************************************************************* ! !! BASIS_FUNCTION_B_VAL evaluates the B spline basis function. ! ! ! Discussion: ! ! The B spline basis functio…

Beginning OpenMP OpenMP provides a straight-forward interface to write software that can use multiple cores of a computer. Using OpenMP you can write code that uses all of the cores in a multicore computer, and that will run faster as more cores beco…

A Statistical View of Deep Learning (III): Memory and Kernels Memory, the ways in which we remember and recall past experiences and data to reason about future events, is a term used frequently in current literature. All models in machine learning co…

A Statistical View of Deep Learning (I): Recursive GLMs Deep learningand the use of deep neural networks [1] are now established as a key tool for practical machine learning. Neural networks have an equivalence with many existing statistical and mach…

Participate in Reproducible Research General Image Processing OpenCV (C/C++ code, BSD lic) Image manipulation, matrix manipulation, transforms Torch3Vision (C/C++ code, BSD lic) Basic image processing, matrix manipulation and feature extraction algor…

UNITY3D ShadeSH9 属于Irradiance environment maps 方法,可以参考DX SDK PRTDemo,里面是几乎相同的实现,总之就是解光传输的积分方程 目前主流辐射度计算的两种主流方法 1.Irradiance environment maps 辐照环境贴图方法,可用于生成柔和的环境光照,计算量比环境贴图更小 ,适合于动态环境 ShaderX2: Shader Programming Tips & Tricks with DirectX 9  中 Effici…

话说上一次写这个笔记是13年的事情了···那时候忙着实习,找工作,毕业什么的就没写下去了,现在工作了有半年时间也算稳定了,我会继续把这个笔记写完.其实很多章节都看了,不过还没写出来,先从第5章开始吧,第2-4章比较基础,以后再补! 第5章 Neural Networks 在第3章和第4章,我们已经学过线性的回归和分类模型,这些模型由固定的基函数(basis functions)的线性组合组成.这样的模型具有有用的解析和计算特性,但是因为维度灾难(the curse of dimensionali…

Introduction Among simulation engineers, it is well accepted that the solution of a PDE can be envisioned as the following three general steps (actually, this was also my premature understanding during the early era of my study on numerical simulatio…

2ed,  by Timothy Sauer DEFINITION 1.3A solution is correct within p decimal places if the error is less than 0.5 × 10$^{−p}$ .-P29Bisection Method的优点是计算次数(step)是确定的(interval<精度).后面介绍的算法的interval是不确定的, 所以什么时候结束计算呢?不知道.所以定义“stopping criteria’’来决定什么时候结束…

Radial Basis Functions (RBFs) are set of functions which have same value at a fixed distance from a given central point. Even Gaussian Kernels with a covariance matrix which is diagonal and with constant variance will be radial in nature. In SVMs, RB…

https://github.com/mounicam/lexical_simplification 提供了SimplePPDBpp: SimplePPDB++ resource consisting of around 14.1 million paraphrase rules along with their readability scores.   --- 非英文 主要贡献:1.创造了人为评分的15000个英文单词复杂度2.提出了a novel neural readability ra…

1 引言 2 数学知识 3 光栅算法 4 信号处理 5 线性代数 6 矩阵变换 7 观察 8 隐藏面消除 9 表面明暗处理 10 光线追踪 11 纹理映射 12 完整的图形流水线 13 图形学的数据结构 14 采样 15 曲线 16 计算机动画 17 使用图形硬件 18 构建交互式图形应用程序 19 光照 20 颜色 21 视觉感知 22 色调再现 23 全局照明 24 反射模型 25 基于图像的绘制 26 可视化 参考文献 1 引言 2 数学知识 3 光栅算法 4 信号处理 5 线性代数 6…

B样条参数曲线学习 Bezier曲线有许多优越性,但有两点不足: (1) 特征多边形的顶点个数决定了Bezier曲线的阶次,并且在阶次较大时,特征多边形对曲线的控制将会减弱: (2) Bezier曲线不能作局部修改,改变一个控制点的位置对整条曲线都有影响,其原因是基函数Bernstein的参数u在[0,1]区间内均不为零. 1972年,Gordon, Rie-feld等人拓展了Bezier曲线,用B样条基函数代替Bernstein基函数,即形成了B样条曲线.曲面. B-样条曲线在计算机视觉(co…

之前看了一篇题为"Robust Mesh Watermarking"的论文,查阅资料的时候发现了一篇与之很相似的名为"三维模型数字水印系统的设计与实现"的中文论文,在中文论文的帮助下,总算对网格水印有了一定的了解,简单整理了一下. 由于知识版权保护的需要,数字水印技术应运而生.目前,图像.视频.音频.文本的水印研究已经比较成熟,但是三维模型水印的研究还相对匮乏.然而随着三维模型在网络上传播的日益增多,三维模型知识版权的保护也有了一定的研究意义.由于三维模型自身的特点…

B-spline Basis Functions 本博客转自前人的博客的翻译版本,前几章节是原来博主的翻译内容,但是后续章节博主不在提供翻译,后续章节我在完成相关的翻译学习. (原来博客网址:http://blog.csdn.net/tuqu/article/details/4749586) 原来的博主翻译还是很好的,所以前几章节直接借鉴参考原博主的内容. B-spline Basis Functions:Definition 贝塞尔基函数用作权重.B-样条基函数也一样:但更复杂.但是它有两条贝…

B-spline Basis Functions: Computation Examples 本博客转自前人的博客的翻译版本,前几章节是原来博主的翻译内容,但是后续章节博主不在提供翻译,后续章节我在完成相关的翻译学习. (原来博客网址:http://blog.csdn.net/tuqu/article/details/4749586) 原来的博主翻译还是很好的,所以前几章节直接借鉴参考原博主的内容. 1. 简单节点(Simple Knots ) 假设节点向量是U = { 0, 0.25, 0.5…

  MRIcro tutorial 参考网址:http://www.mccauslandcenter.sc.edu/mricro/mricron/ http://www.cabiatl.com/mricro/mricro/mricro.html This guide gives is a brief description of how you can use MRIcro and SPM to work with patient scans. For the MRIcro manual and…