볼록포

노트

위키데이터

• ID : Q1138624

말뭉치

1. Computing the convex hull means that a non-ambiguous and efficient representation of the required convex shape is constructed.
2. it is easy to see that the vertices of the convex hull, when traversed along the boundary, produce the sorted order of the numbers x 1 , … , x n {\displaystyle x_{1},\dots ,x_{n}} .
3. As stated above, the complexity of finding a convex hull as a function of the input size n is lower bounded by Ω(n log n).
4. However, the complexity of some convex hull algorithms can be characterized in terms of both input size n and the output size h (the number of points in the hull).
5. We can visualize what the convex hull looks like by a thought experiment.
6. A reduced convex hull is the set of all convex combinations of a set of points where the weight any single point can be assigned is bounded from above by a constant.
7. Upper bounds on the number of vertices and facets in a reduced convex hull are used to analyze the worst-case complexity of the algorithms.
8. The Convex Hull is the line completely enclosing a set of points in a plane so that there are no concavities in the line.
9. Each point is processed and merged with the convex hull of the previous points.
10. The face mesh for the current convex hull has a dual graph whose nodes represent the faces and whose arcs represent the edges of the faces.
11. In geometry, the convex hull or convex envelope or convex closure of a shape is the smallest convex set that contains it.
12. The convex hull operator is an example of a closure operator, and every antimatroid can be represented by applying this closure operator to finite sets of points.
13. For bounded sets in the Euclidean plane, not all on one line, the boundary of the convex hull is the simple closed curve with minimum perimeter containing X {\displaystyle X} .
14. For objects in three dimensions, the first definition states that the convex hull is the smallest possible convex bounding volume of the objects.
15. The convex hull of a set of points in dimensions is the intersection of all convex sets containing .
16. Computing the convex hull is a problem in computational geometry.
17. The dual polyhedron of any non-convex uniform polyhedron is a stellated form of the convex hull of the given polyhedron (Wenninger 1983, pp. 3-4 and 40).
18. A numerically stable and optimalO(n)-time implementation of an algorithm for finding the convex hull of a simple polygon is presented.
19. Coordinates of points to construct a convex hull from incremental bool, optional Allow adding new points incrementally.
20. Indices of points forming the vertices of the convex hull.
21. Indices of points forming the simplical facets of the convex hull.
22. The convex hull of a set \( S\) is the smallest convex set containing \( S\).
23. A point in \( P\) is an extreme point (with respect to \( P\)) if it is a vertex of the convex hull of \( P\).
24. Each of the convex hull functions presents the same interface to the user.
25. In the following example a convex hull is constructed from point data read from standard input using Graham_Andrew algorithm.
26. The resulting shape is the convex hull, described by the subset of points that touch the border created by the rubber band.
27. Avoid collisions with other objects by defining the convex hull of the objects.
28. The convex hull is also applied to other domains such as data mining, pattern recognition, artificial intelligence, detection of outliers in statistics, and many more.
29. I hope the applications of the convex hull make you excited about this tool.
30. We introduce the Non-Convex Hull (NCH) of an oriented point cloud as the intersection of complementary supporting spherical half spaces; one per point.
31. One can think of the convex hull as the geometry obtained by wrapping an elastic band around a set of geometries.
32. Look at the convex hull example for more information on the envelope calculation.
33. Move over the features to see the convex hull of the cluster.
34. The convex hull of a set of points is defined as the smallest convex polygon, that encloses all of the points in the set.
35. A useful way to think about the convex hull is the rubber band analogy.
36. Looking at a set of points, human intuition lets us quickly figure out which points are likely to touch the convex hull, and which ones will be closer to the centre and thus away from the convex hull.
37. To find the convex hull of a set of points, we can use an algorithm called the Graham Scan, which is considered to be one of the first algorithms of computational geometry.
38. CoppeliaSim allows calculating and adding the convex hull of specified objects.
39. The convex hull of a collection of meshes is the smallest convex envelope that encompasses all meshes.
40. CoppeliaSim allows extracting the convex hull of measurable objects only.
41. The calculated convex hull might not be "water-tight" (i.e. might contain overlapping triangles or non-shared edges), thus the shape will not be marked as convex.
42. One of the most effective methods of making this a reality is to build a Convex Hull.
43. Additionally, we present a point classification function for the convex hull based on Sturm sequences.
44. The proposed GPU-accelerated algorithm CudaChain is designed on the basis of the fast convex hull algorithm introduced by Akl and Toussaint (1978).
45. The obtained convex hull is exactly the expected convex hull of the input point set.
46. Calculating the convex hull of simple polygon the output of the previous step is a simple polygon, which is also an approximate convex hull.
47. To calculate the exact convex hull of the input point set, the fast algorithm introduced by Melkman (1987) is chosen to compute the convex hull of the simple polygon.
48. Sample( name: "Convex hull", category: "Geometry", description: "Create a convex hull for a given set of points.
49. The convex hull is a polygon with shortest perimeter that encloses a set of points.
50. The convex hull of the points would be like a rubber band stretched around the outermost nails.
51. Tap the \"Create Convex Hull\" button to generate the convex hull of those points.
52. N C ( N H ), H form , and Δ H represent the number of carbon (hydrogen) atoms in the calculation cell, the formation enthalpy, and the convex hull distance, respectively.
53. In this post, we will learn how to find the Convex Hull of a shape (a group of points).
54. The Convex Hull of the two shapes in Figure 1 is shown in Figure 2.
55. Given a set of points that define a shape, how do we find its convex hull?
56. We first need to binarize the image we are working with, find contours and finally find the convex hull.
57. Compute the convex hull and its volume.
58. The number of extreme points in the convex hull of {X 1, · ··, Xn } is shown to have a limiting distribution which is obtained explicitly.

메타데이터

위키데이터

• ID : Q1138624

Spacy 패턴 목록

• [{'LOWER': 'convex'}, {'LEMMA': 'hull'}]