396 views. squareform returns a symmetric matrix where Z (i,j) corresponds to the pairwise distance between observations i and j. LatLon distance. How to calculate euclidean distance for 3 vectors using. x is an array of five points in three-dimensional space. Hi, please I want to calculate the distance. You can customize the distance metric, use a cache of. Clustergram documentation says that the default distance used is 'Euclidean' and the default linkage method is 'Average', same parameters I used. pdist2 equivalent in MATLAB version 7 Ask Question Asked 12 years, 1 month ago Modified 10 years, 5 months ago Viewed 5k times 9 I need to calculate the. Y = pdist(X) computes the Euclidean distance between pairs of objects in m-by-n matrix X, which is treated as m vectors of size n. Sign in to comment. load arrhythmia isLabels = unique (Y); nLabels = numel (isLabels) nLabels = 13. Improve this answer. how to find euclidean distance for an image MATLAB. pdist 함수는 Distance 인수가 'fasteuclidean', 'fastsquaredeuclidean' 또는 'fastseuclidean'인 경우에만 CacheSize=cache를 사용할 수 있습니다. For the future, try typing edit pdist2 (or whatever other function) in Matlab, in most cases, you will see the Matlab function, which you can then convert to python. Any help. This is the form that pdist returns. the results that you should get by using the pdist2 are as follows : 92. There is an example in the documentation for pdist: import numpy as np from scipy. Euclidean distance between two points. g. Use matlab's 'pdist' and 'squareform' functions 0 Comments. a1 b1 c1. Find more on Workspace Variables and MAT-Files in Help Center and File Exchange. load patients X = [Age Weight]; Y = [20 162; 30 169; 40 168]; % New patients. ^2,3)); This calculates the distance between any two points explicitly (thus, does twice as much work, and takes over twice as much space: 6400 instead of 3180 elements). Calculating Euclidean distance of pairs of 3D points in matlab Is it possible to write a code in matlab without loop arrays matlab matrix euclidean distance Posts about jarak euclidean distance matlab written by. Fast Algorithm for Multiple Projections in Matlab. Hooray!!! You have just reached the end of this article. k = 2 B_kidx = knnsearch(B, A, 'K', k) then B_kidx will be the first two columns of B_idx, i. How to calculate euclidean distance for 3 Learn more about how to calculate euclidean distance using matlab for 3 some one help to solve using MATLAB. Now, to Minkowski's distance, I want to add this part |-m (i)|^p. e. 1 How to use KNN in Matlab. Covariance estimation in a big data setting. Categories MATLAB Mathematics Random Number Generation. dist(p, q) 参数说明: p -- 必需,指定第一个点。I am struggling a bit here, and hope somebody could help. You can also use pdist, though it's a little more complicated, and I attach a demo for that. This method for the hierarchical clustering has been previously described in Hutchison and Everling (2014) and Schaeffer et al. y = squareform (Z) How does condensed distance matrix work? (pdist) scipy. Development install. % Learning toolbox. Matlab provides a knnsearch function that uses K-D-trees for this exact purpose. would someone help with matlab code I can not use matlab function pdist pdist2 I need standard euclidean distance between two vectors This MATLAB function returns the distance between each pair of observations in X and Y using the Euclidean distance For code generation pdist2 uses. 2. If the NaNs occur in the same locations in both the X and Y matrices, you can use a function call like the following, your_function ( X (~isnan (X)), Y (~isnan (X)) ). % Autor: Ana C. This distance represents how far y is from the mean in number of standard deviations. HC1992 on 6 Feb 2018. Y = mdscale (D,p) performs nonmetric multidimensional scaling on the n -by- n dissimilarity matrix D, and returns Y, a configuration of n points (rows) in p dimensions (columns). as Walter said, it is better, to rewrite the algorithm to not need as much memory. Parallel Computing Toolbox™ provides functions for creating and using parallel pools, allowing you to use additional hardware resources through threads and processes to enhance your application's performance and reduce time to results. pdist (X): Euclidean distance between pairs of observations in X. Explicit Parallelism Using MATLAB Workers. 8 语法 math. Dear @zhang-chi-IGGCAS,. The same piece of code seems to work just fine on later versions of the data, but going back in time (when observations should be less similar) the 'NaN's start appearing. Mapping Toolbox supports a complete workflow for managing geographic data. . The most efficient pairwise distance computation. pix_cor= [2 1;2 2; 2 3]; x = pix_cor (:,1); y = pix_cor (:,2); Now, what does MATLAB do if you form differences like these? x - x'. This section is mostly for those of you who intend to develop and contribute code yourself (i. Helllo I need help with standard euclidean distance knew would someone help with matlab code I can not use matlab function pdist pdist2 I need standard euclidean distance between two vectors. The patristic distances are computed by following paths through the branches of the tree and adding the patristic branch distances originally created with the seqlinkage function. d = ( y − μ) ∑ − 1 ( y − μ). You can loop through the coordinate locations (i. The pdist function can handle missing (NaN) values. 1. Not seeing a clear winner! – Divakar. Answered: Muhammd on 14 Mar 2023. example. 2070 83. Create a hierarchical cluster tree using the 'average' method and the 'chebychev' metric. Pairwise distance between pairs of observations MATLAB pdist. For example, you can find the distance between observations 2 and 3. Cophenetic correlation coefficient. aN bN cN. 欧氏距离(Euclidean Distance) 欧氏距离是最易于理解的一种距离计算方法,源自欧氏空间中两点间的距离公式。(1)二维平面上两点a(x1,y1)与b(x2,y2)间的欧. Python math. You can use one of the following methods for your utility: norm (): distance between two points as the norm of the difference between the vector elements. Find more on Random Number Generation in Help Center and File Exchange. The Statistics and Machine Learning Toolbox™ function spectralcluster performs clustering on an input data. Description. 9448. Distance – Hamming Vs. Edit. Pairwise distance between observations. Matlab计算距离主要使用pdist函数。 若X是一个M×N的矩阵,则pdist(X)将X矩阵M行的每一行作为一个N维向量,然后计算这M个向量两两间的距离。 例子:计算向量(0,0)、(1,0)、(0,2)两两间的欧式距离matlab so but when i applied the new edited code back to' 'standard euclidean distance matlab MATLAB Answers April 12th, 2018 - Helllo I need help with standard euclidean distance knew would someone help with matlab code I can not use matlab function pdist pdist2 I need standard euclidean distance between two vectors'knew would someone help with matlab code I can not use matlab function pdist pdist2 I need standard euclidean distance between two vectors How do we calculate Euclidean Distance Matrix in Matlab April 24th, 2018 - How do we calculate Euclidean Distance Matrix in can please some one give an explanation about second code and is matlabPer the pdepe documentation, the initial condition function for the solver has the syntax: u = icFun (x); where the initial value of the PDE at a specified value of x is returned in the column vector u . MATLAB Function Reference : pdist3. Description. The distances are returned in a one-dimensional array with length 5* (5 - 1)/2 = 10. 0 votes. 8543 95. For example |A| number of items that is not zero is 2, for |B| and |C| it is 1, and for |D| it is 2. I am getting the following error: Theme. Upgrade is not an option. 1 Different behaviour for pdist and pdist2. Sorted by: 1. I'd like to compute the average distance between each observation in my matrix, but pdist() fails here, because app. It also produces an image where the pixel values are the distances of that pixel to the nearest foreground pixel. One immediate difference between the two is that mahal subtracts the sample mean of X from each point in Y before computing distances. e. See Also. y = squareform(Z) y = 1×3 0. Newbie Euclidean distance of a matrix MATLAB Answers. Therefore, D1 (1) and D1 (2), the pairwise distances (2,1) and (3,1), are NaN values. Specify a cell array if the distance metric requires extra arguments. I have tried using the following to do this: Theme. It computes the distances between rows of X. Note that generating C/C++ code requires MATLAB® Coder™. For each and (where ), the metric dist (u=X [i], v=X [j]) is computed and stored in entry ij. Can I somehow have the user specify which distance to use in my function? Something like the following: function out = my_function(input_1, input_2, 'euclidian'). How to find euclidean distance MATLAB Answers MATLAB. Z (2,3) ans = 0. Finally, there is a function called pdist that would do everything for you :. You need to take the square root to get the distance. 可以这样理解 D 的生成:首先生成一个 X 的距离方阵,由于该方阵是对称的,令对角线上的元素为0,所以取此方阵的下三角元素. How do we calculate Euclidean Distance Matrix in Matlab. checksbool, optional If set to False, no. 0. . From the documentation: Returns a condensed distance matrix Y. git push) and not just use 'irfu-matlab'. You can see matlab pdist method to find a list of easy-to-used distance calculating method. cluster. Learn more about distance bigdata MATLAB So I have a matrix that is 330,000 observations = rows x 160 variables = columns. matlab use my own distance function for pdist. Copy. cartography distance euclidian geography map MATLAB pdist. Y = pdist(X) computes the Euclidean distance between pairs of objects in m-by-n matrix X, which is treated as m vectors of size n. Using the MATLAB 'pdist' routine, the Euclidian distance between every pair of end-nodes was calculated, and the maximum value was taken as the dendritic diameter. aN bN cN. 否则,pdist 使用标准算法来计算欧几里德距离。 如果距离参数为 'fasteuclidean'、'fastsquaredeuclidean' 或 'fastseuclidean',并且 cache 值太大或为 "maximal",则 pdist 可能会尝试分配超出可用内存容量的格拉姆矩阵。在这种情况下,MATLAB ® 会引发错误。 示例: "maximal"0. Really appreciate if somebody can help me. Then use pdist to transform the 10-dimensional data into dissimilarities. Often there are more then 1 occurences on one location. function Distance = euclidean (x,y) % This function replaces the function pdist2 available only at the Machine. 이 경우, MATLAB ®. 4K Downloads. However, notice what the root folder is - MATLAB Drive. Generate C code that assigns new data to the existing clusters. Pairwise distance between pairs of observations MATLAB pdist. 切比雪夫距离 ( Chebyshev Distance) 国际象棋玩过么? Here is my question: I have a matrix wich represents individuals, along with their coordinates and other variables. distance=pdist(pair, 'euclidean'); "distance" will give you the euclidean distance between the first and second coordinates. D = pdist (X) D = 1×3 0. One immediate difference between the two is that mahal subtracts the sample mean of X from each point in Y before computing distances. Show 1 older comment Hide 1 older comment. Documentation, examples, videos, and other support resources for MathWorks products including MATLAB and Simulink. . Create a confusion matrix chart and sort the classes of the chart according to the class-wise true positive rate (recall) or the class-wise positive predictive value (precision). Learn how to use the pdist command to calculate the distance between points in a matrix and store the results in a matrix with the row form. Display the aligned signals and the distance. 9448. 转载自CSDN——再次写给我们这些浮躁的程序员; matlab - 3 自由度的机械臂distance of pairs of 3D points in matlab. First, Pdist Pairwise distance between pairs of objects Syntax D = Pdist (X) D = Pdist (x,distance) Description D = Pdist (X) Calculates the distance between each pair of row vectors in X (x is a m-by-n matrix). 167. Learn more about matlab, pdist2, matrixCreate a hierarchical cluster tree using the 'average' method and the 'chebychev' metric. For example, you can find the distance between observations 2 and 3. MATLAB Data Import and Analysis Data Import and Export Workspace Variables and MAT-Files. Where p = 1 (for now), n is as large as the number of points and d as large as the number of dimensions (3 in this case). I also know that pdist2 can help reduce the time for calculation but since I am using version 7. Which is "Has no license available". Y = pdist(X). The output from pdist is a symmetric dissimilarity matrix, stored as a vector containing only the (23*22/2) elements in its upper triangle. dist() 方法语法如下: math. . 0 votes. Rows of X and Y correspond to observations, That is, it works on the ROWS of the matrices. D = pdist (X); leafOrder = optimalleaforder (tree, D); Plot the dendrogram using an optimal leaf order. 9448 The outputs y from squareform and D from. Answers (1) This issue could be due to RAM limitations. When two matrices A and B are provided as input, this function computes the square Euclidean. 0. . . Description. For example, you can indicate censored data or specify control parameters for the iterative fitting algorithm. Additional comment actions. You can create your graph using the "digraph" function, and determine the weights using the "pdist" function. ) calls pdist with optional properties that use. Jarak euclidean distance matlab Pemrograman Matlab. Learn more about custom distance function, pdist, pdist2, @distfun, divergence, kl divergence1. Find the treasures in MATLAB Central and. You can try the following workarounds: 1. This section is mostly for those of you who intend to develop and contribute code yourself (i. Syntax. How to change Euclidean distance to Mahalanobis distance. However, it may take a long time when the data matrix is large. D = pdist (X) 1. end. , 'pdist') and has an odd. It will exceedingly ease you to see instruction Matlab Coding For Euclidean. This function computes pairwise distance between two sample sets and produce a matrix of square of Euclidean or Mahalanobis distances. This MATLAB function converts yIn, a pairwise distance vector of length m(m–1)/2 for m observations, into ZOut, an m-by-m symmetric matrix with zeros along the diagonal. Create scripts with code, output, and formatted text in a single executable document. I know matlab has a built in pdist function that will calculate pairwise distances. MATLAB Programming Techniques for Efficiency and Performance. loop on matrix array. Z = linkage (meas, 'average', 'chebychev' ); Find a maximum of three clusters in the data. T = cluster (Z, 'maxclust' ,3); Create a dendrogram plot of Z. It shows a path (C:\Program Files\MATLAB. Classification is a type of supervised machine learning in which an algorithm “learns” to classify new observations from examples of labeled data. Specify 'NSMethod','kdtree' to create a KDTreeSearcher object. Z = linkage(Y,'single') If 0 < c < 2, use cluster to define clusters from. We can turn that into a square matrix where element (i,j) corresponds to the similarity between rows i and j with squareform (1-pdist (S1,'cosine')). This function fully supports thread-based environments. data = gpuArray (data); mu = gpuArray (mu); dist = pdist2 (data, mu, 'euclidean') Without gpuArrays, there is no problem with using the 2 functions. In thisPairwise distances between observations, specified as a numeric row vector that is the output of pdist, numeric square matrix that is the output of pdist2, logical row vector, or logical square matrix. Goncalves. Sign in to answer this question. 1 answer. This course indicates that having 10000 features makes sense. distfun must. If you want the number of positions that differ, you can simply multiply by the number of pairs you have: numberPositionsDifferent = size (A,2)*pdist (A,'hamming'); If that's not what you meant, you might want to give more information (including the answer to Walter's questions in. Clusters indicate regions of images and lidar point clouds in segmentation algorithms. Description. 2 Comments. Syntax. pdist (X): Euclidean distance between pairs of observations in X. . The Mahalanobis distance is a measure between a sample point and a distribution. [D,I] = pdist2 ( ___) also returns the matrix I. 8717. e. Following bandpass filtering, hierarchical clustering analysis was performed on the data using the standard functions associated with this method in MATLAB (‘pdist’ and ‘linkage’). sparse)を使うと疎行列(スパース行列)を効率的に扱うことができる。. To see the three clusters, use 'ColorThreshold' with a cutoff halfway between the third-from-last and. Trajectory should be represented as nx2 numpy array. 5000 2. Ultimately, the. d(u, v) = max i | ui − vi |. 9437 60. Answered: Muhammd on 14 Mar 2023. The createns function also creates an ExhaustiveSearcher object. . The pdist(D) gives the sum of the distance of the multiple dimension, however, I want to get the distance separately. 5,Then use pdist to transform the 10-dimensional data into dissimilarities. function Distance = euclidean (x,y) % This function replaces the function pdist2 available only at the Machine. 0. Define an entry-point function named findNearestCentroid that accepts centroid positions and new data, and then find the nearest cluster by using pdist2. Syntax. The problem lie down here is not how to compare feature vector, it is how to represent your image by single vector. For example, if one of A or B is a scalar, then the scalar is combined with each element of the other array. I have tried R (dist function), Matlab (pdist function), and cloud computing (to increase RAM). 126; asked Feb 19, 2018 at 10:51. I would like to make a loop that computes a distance between all matrix arrays, and save them in a distance matrix. Y = pdist(X) Y = pdist(X,'metric') Y = pdist(X,distfun,p1,p2,. ) Y = pdist(X,'minkowski',p) Description . m or remove that directory from your MATLAB path. 357 views (last 30 days) Show older comments. pdist (. For example: Bag-of-word, CNN, etc . This #terms resulted after stopwords removal and stemming. Copy. Is there a way of obtaining percentiles other than the prctile function? //AM 0 Comments. I have a 399 cities array with LON LAT coordinates (first column for the Longitudes), like the picture below. pdist and pdist2 can calculate the city block distance. 这里我们主要研究聚类的MATLAB实现,实现步骤大致如下:. Matlab计算距离主要使用pdist函数。 若X是一个M×N的矩阵,则pdist(X)将X矩阵M行的每一行作为一个N维向量,然后计算这M个向量两两间的距离。 例子:计算向量(0,0)、(1,0)、(0,2)两两间的欧式距离The behavior of this function is very similar to the MATLAB linkage function. How do we calculate Euclidean Distance Matrix in Matlab. 3. I simply call the command pdist2(M,N). Pairwise distance between pairs of observations MATLAB pdist. distfun must accept a matrix XJ with an arbitrary number of rows. 15HztoimproveidenticationofMATLAB GPU Computing Support for NVIDIA CUDA Enabled GPUs Generate CUDA code directly from MATLAB for deployment to data centers, clouds, and embedded devices using GPU Coder™. But it is not open because of lack of memory,, I wonder how other people deal with such global data such as MODIS data. Implement Matlab functions for comparing two vectors in terms of: a. Tags save; Community Treasure Hunt. It computes the distances between rows of X. imputedData2 = knnimpute (yeastvalues,5); Change the distance metric to use the Minknowski distance. Intended Use. [MATLAB-pdist]: CS XXMATLAB Pricing. Y = pdist(X) Y = pdist(X,'metric') Y = pdist(X,distfun,p1,p2,. How to find euclidean distance MATLAB Answers MATLAB. Development install. dim = dist ('size',S,R,FP) takes the layer dimension S, input dimension R, and function. Use the 5-nearest neighbor search to get the nearest column. The downside to this is that there is no guarantee that these samples are spread. {"payload":{"allShortcutsEnabled":false,"fileTree":{"classify":{"items":[{"name":"private","path":"classify/private","contentType":"directory"},{"name":"Contents. Learn more about distance, euclidean, pdist, coordinates, optimisation MATLAB Hi all, Many of the codes I am currently using depend on a simple calculation: the distance between a single point and a set of other points. 计算 X 中各对行向量的相互距离 (X是一个m-by-n的矩阵). Repeat the computation. Hye, can anybody help me, what is the calculation to calculate euclidean distance for 3D data that has x,y and z value in Matlab? Thank you so much. When classifying, it is often necessary to estimate the similarity metric between different samples (similarity measurement), which is usually done by calculating the "distance" (Distance) between samples. 0 votes. . pddp - Perform PDDP (principal direction divisive clustering) on input data. The angle between two vectors Deliverables: - Your code for 'eucdist' contained in 'eucdist. Define a custom distance function naneucdist that ignores coordinates with NaN values and returns the Euclidean distance. Share. Statistics and Machine Learning Toolbox™ offers two ways to find nearest neighbors. I need to build a for loop to calculate the pdist2 between the first row of A and all the rows of B, the second row of A and all. Copy. % Learning toolbox. Run the command. txt format. The most efficient pairwise distance computation. As I am not personally that familiar with the PDist function, and its limits and limitations, nor with Cluster & MAVEN data I am assigning this issue to @danbgraham who I hope can reply with a more details response. dim = dist ('size',S,R,FP) takes the layer dimension S, input dimension R, and function. The output from pdist is a symmetric dissimilarity matrix, stored as a vector containing only the (23*22/2) elements in its upper triangle. Nov 8, 2013 at 9:26. . Am I correct?This MATLAB function returns the Euclidean distance between pairs of observations in X. The matrix I contains the indices of the observations in X corresponding to the distances in D. Objectives: 1. distfun必须. Converts a linkage matrix Z generated by the linkage function of this module to a MATLAB(TM) compatible one. 在这里就不上推导公式了,详情可见一个写的挺好的博客: 聚类分析的距离计算 - CSDN博客. Let X be an MxP matrix representing m points in P-dimensional space and Y be an NxP matrix representing another set of points in the same space. 这里 D 要特别注意,D 是一个长为m (m–1)/2的行向量. You can define your own distance function to handle complex-valued data. . matlab function pdist pdist2 I need standard euclidean. However, my matrix is so large that its 60000 by 300 and matlab runs out of memory. e. out = pdist(X, 'euclidian') 0. sqrt(((u-v)**2). For example, if one of A or B is a scalar, then the scalar is combined with each element of the other array. 9448. . . Now, it is confirmed that I do not have a license. As with MATLAB (TM), if force is equal to 'tovector' or 'tomatrix', the input will be treated as a distance matrix or distance vector respectively. . This example shows how to construct a map of 10 US cities based on the distances between those cities, using cmdscale. [idx,c,sumd,d] = kmedoids (dat,nclust,'Distance',@dtw); But I end up with the following errors. D is a 1 -by- (M* (M-1)/2) row vector corresponding to the M* (M-1)/2 pairs of sequences in Seqs. MATLAB pdist function. Mar 23, 2015 at 21:14. 8899 259. The tutorial purpose is to teach you how to use the Matlab built-in functions to calculate the statistics for different data sets in different applications; the tutorial is intended for users running a professional version of MATLAB 6. Create a hierarchical cluster tree using the 'average' method and the 'chebychev' metric. Z (2,3) ans = 0. Define an entry-point function named findNearestCentroid that accepts centroid positions and new data, and then find the nearest cluster by using pdist2. Ultimately, the. Syntax. The patristic distances are computed by following paths through the branches of the tree and adding the patristic branch distances originally created with the seqlinkage function. Fowzi barznji on 16 Mar 2020. More precisely, the distance is given by. D = pdist (Tree) returns D , a vector containing the patristic distances between every possible pair of leaf nodes of Tree, a phylogenetic tree object. I have a naive so. For example if matrix A was 102x3 and Matrix B was 3x15, is there a MATLAB function that can do this calculation for me or do I need to use nested for loops? 0 Comments Show -1 older comments Hide -1 older commentsAccepted Answer: Srivardhan Gadila. . % Requires the Statistics and Machine Learning Toolbox because of the pdist() and squareform() functions. I need help with standard euclidean distance, knew would someone help with matlab code ? I can not use, matlab function, pdist, pdist2. Learn more about pdist, distance@Masi step 1 is to understand what the results of pdist are. MATLAB compatibility module. You can even include your own anonymous distance function in the call to. (For example, -r300 sets the output resolution to 300 dots per inch. I would like to sort these using the DTW algorithm. Copy. The pdist command requires the Statistics and Machine Learning toolbox. EDIT: Context. Contact Sales. This is my forst class using the app and I am at beginner level, so please bear with me ;) (Also, english. Z (2,3) ans = 0. By default, mdscale uses Kruskal's. This MATLAB function performs nonmetric multidimensional scaling on the n-by-n dissimilarity matrix D, and returns Y, a configuration of n points (rows) in p dimensions (columns). Therefore the similarity between all combinations is 1 - pdist (S1,'cosine') . pdist. The Euclidean distances between points in Y approximate a monotonic transformation of the corresponding dissimilarities in D . 转载自CSDN——再次写给我们这些浮躁的程序员; matlab - 3 自由度的机械臂matlab里有没有可以直接计算任意两点之间距离的函数? 如题,MATLAB里有没有可以直接计算一个数组(三维)里任意两点之间距离的函数? 并且可以设定一个截断距离,输出距离小于截断距离的每一组点的坐标(或标号…Use dynamic time warping to align the signals such that the sum of the Euclidean distances between their points is smallest. e. Z = linkage(X,method,pdist_inputs) passes pdist_inputs to the pdist function, which computes the distance between the rows of X. sqrt(((u-v)**2). K means Clustering in Matlab Matlab Geeks. The Chebyshev distance between two n-vectors u and v is the maximum norm-1 distance between their respective elements. If we want to calculate the Minkowski distance in MATLAB, I think we can do the following (correct me if I'm wrong): Theme. I have a set of points from a complex function that I am trying to produce a 3D shape of, and have had no luck so far. Dendrograms were generated with Matlab pdist (usingMATLAB GPU Computing Support for NVIDIA CUDA Enabled GPUs WebMATLAB ® enables you to use NVIDIA ® GPUs to accelerate AI, deep learning, and other computationally. Feb 25, 2018 at 9:36. If the NaNs don't occur in the same locations, you will have to first find the valid indices by something like, `X (~isnan (X)| isnan (Y))'. pdist returns the Euclidean, Minkowski, or Mahalanobis distance between pairs of observations in a numeric matrix. Right-click Group 18, then select Export Group to Workspace. CosTheta = max (min (dot (u,v)/ (norm (u)*norm (v)),1),-1); ThetaInDegrees = real (acosd (CosTheta)); 5 Comments.